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1Trends In Number Theory : Fifth Spanish Meeting On Number Theory, July 8-12, 2013, Universidad De Sevilla, Sevilla, Spain

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2Foundations Of Algebra And Number Theory

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xiii, 142 p. 23 cm

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3Number Theory

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xiii, 142 p. 23 cm

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4On Some Equations Linked To The Meaning Of DN Constant. New Possible Mathematical Connections With The Ramanujan Recurring Numbers And Some Parameters Of Number Theory, Theoretical Cosmology And String Theory

In this paper, we analyze some equations linked to the meaning of DN Constant. We describe new possible mathematical connections with the Ramanujan Recurring Numbers and some parameters of Number Theory, Theoretical Cosmology and String Theory

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5Theory For Baryon Number And Dark Matter At The LHC

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We investigate the possibility to test the simplest theory for spontaneous baryon number violation at the Large Hadron Collider. In this context the baryon number is a local gauge symmetry spontaneously broken at the low scale through the Brout-Englert-Higgs mechanism. This theory predicts the existence of a leptophobic neutral gauge boson and a fermionic dark matter candidate with baryon number. We study the gauge boson and Higgs decays, and explore the connection between collider signatures and constraints coming from dark matter experiments. We point out an upper bound on the symmetry breaking scale using the relic density constraints which tells us that this model can be tested or ruled out at current or future collider experiments.

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6Topics In Number Theory Vol Ii

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Source: Digital Library of India Scanning Centre: Allama Iqbal Library, University of Kashmir Source Library: Allama Iqbal Library, University Of Kashmir Date Accessioned: 9/11/2015 15:58 The Digital Library of India was a project under the auspices of the Government of India.

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7Additive Number Theory : Inverse Problems And The Geometry Of Sumsets

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Source: Digital Library of India Scanning Centre: Allama Iqbal Library, University of Kashmir Source Library: Allama Iqbal Library, University Of Kashmir Date Accessioned: 9/11/2015 15:58 The Digital Library of India was a project under the auspices of the Government of India.

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8Advanced Number Theory With Applications

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Source: Digital Library of India Scanning Centre: Allama Iqbal Library, University of Kashmir Source Library: Allama Iqbal Library, University Of Kashmir Date Accessioned: 9/11/2015 15:58 The Digital Library of India was a project under the auspices of the Government of India.

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9Frequency And Wave Number Dependence Of The Shear Correlator In Strongly Coupled Hot Yang-Mills Theory

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We use AdS/QCD duality to compute the finite temperature Green's function G(omega,k;T) of the shear operator T_12 for all omega,k in hot Yang-Mills theory. The goal is to assess how the existence of scales like the transition temperature and glueball masses affects the correlator computed in the scalefree conformal N=4 supersymmetric Yang-Mills theory. We observe sizeable effects for T close to T_c which rapidly disappear with increasing T. Quantitative agreement of these predictions with future lattice Monte Carlo data would suggest that QCD matter in this temperature range is strongly interacting.

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10On The Applications Of Cyclotomic Fields In Introductory Number Theory

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In this essay, we see how prime cyclotomic fields (cyclotomic fields obtained by adjoining a primitive p-th root of unity to Q, where p is an odd prime) can lead to elegant proofs of number theoretical concepts. We namely develop the notion of primary units in a cyclotomic field, demonstrate their equivalence to real units in this case, and show how this leads to a proof of a special case of Fermat's Last Theorem. We finally modernize Dirichlet's solution to Pell's Equation.

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11Zeno-line, Binodal, T-ρ Diagram And Clusters As A New Bose-Condensate Bases On New Global Distributions In Number Theory

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We present the correspondence principle between the T-{\rho} diagram, the Zeno line and the binodal for a given interaction potential of Lennard-Jones type. We use this correspondence further to construct a distribution of the Bose-Einstein type for a classical gas with the help of the new notion of Bose condensate, making it possible to decrease fractal dimension while simultaneously preserving the number of particles. In so doing, we use new global distributions in number theory.

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12Inverse Problems In Additive Number Theory And In Non-Abelian Group Theory

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The aim of this paper is threefold: a) Finding new direct and inverse results in the additive number theory concerning Minkowski sums of dilates. b) Finding a connection between the above results and some direct and inverse problems in the theory of Baumslag-Solitar (non-abelian) groups. c) Solving certain inverse problems in Baumslag-Solitar groups or monoids, assuming appropriate small doubling properties.

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13Particle Number Production And Time Variation With Non-equilibrium Quantum Field Theory

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We study the particle number production and its time variation using non-equilibrium quantum field theory. We study the model proposed by Hotta et.al. \cite{Hotta:2012hi} for particle number production with a heavy neutral scalar and a light complex scalar. The interaction Lagrangian contains CP violating phase and particle number violating interaction among the scalars. The particle number violating mass term is also introduced, which splits a complex scalar into two real scalars with small non-degenerate mass. Therefore, the term generates particle and anti-particle mixing. We study the long time behavior of the particle number production rate.

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14Number Theory, Periodic Orbits And Superconductivity In Nano-cubes

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We study superconductivity in isolated superconducting nano-cubes and nano-squares of size $L$ in the limit of negligible disorder, $\delta/\Delta_0 \ll 1$ and $k_F L \gg 1$ for which mean-field theory and semiclassical techniques are applicable, with $k_F$ the Fermi wave vector, $\delta$ the mean level spacing and $\Delta_0$ the bulk gap. By using periodic orbit theory and number theory we find explicit analytical expressions for the size dependence of the superconducting order parameter. Our formalism takes into account contributions from both the spectral density and the interaction matrix elements in a basis of one-body eigenstates. The leading size dependence of the energy gap in three dimensions seems to be universal as it agrees with the result for chaotic grains. In the region of parameters corresponding to conventional metallic superconductors, and for sizes $L \gtrsim 10$nm, the contribution to the superconducting gap from the matrix elements is substantial ($\sim 20\%$). Deviations from the bulk limit are still clearly observed even for comparatively large grains $L \sim 50$nm. These analytical results are in excellent agreement with the numerical solution of the mean-field gap equation.

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15Cosmological Particle Creation And Baryon Number Violation In A Conformal Unified Theory

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We consider a conformal unified theory as the basis of conformal-invariant cosmological model where the permanent rigid state of the universe is compatible with the primordial element abundance and supernova data. We show that the cosmological creation of vector Z and W bosons, in this case, is sufficient to explain the CMB temperature (2.7 K). The primordial bosons violate the baryon number in the standard model as a result of anomalous nonconservation of left-handed currents and a nonzero squeezed vacuum expectation value of the topological Chern-Simons functional.

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16The Doctrine And Application Of Fluxions : Containing (besides What Is Common On The Subject) A Number Of New Improvements In The Theory And The Solution Of A Variety Of New, And Very Interesting, Problems In Different Branches Of The Mathematicks ...

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2 v. in 1 (xi, 274, [2], 275-576 p.) : 22 cm

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17Elementary Number Theory

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2 v. in 1 (xi, 274, [2], 275-576 p.) : 22 cm

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18Unified Number Theory: Bridging Geometry, Graph Theory, Compression, And Lattice Theory Via Prime Factorization

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Unified Number Theory: Bridging Geometry, Graph Theory, Compression, and Lattice Theory via Prime Factorization

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19Number Theory I : Fundamental Problems, Ideas, And Theories

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Unified Number Theory: Bridging Geometry, Graph Theory, Compression, and Lattice Theory via Prime Factorization

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20Introduction To Analytic Number Theory

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Bibliography: p. [131]

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21Research On Number Theory And Smarandache Notions / Proceedings Of The Fifth International Conference On Number Theory And Smarandache Notions

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Bibliography: p. [131]

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22Continued Fractions : From Analytic Number Theory To Constructive Approximation : A Volume In Honor Of L.J. Lange : Continued Fractions, From Analytic Number Theory To Constructive Approximation, May 20-23, 1998, University Of Missouri-Columbia

Bibliography: p. [131]

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23Diophantine Analysis : Proceedings Of The Number Theory Section Of The 1985 Australian Mathematical Society Convention

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Bibliography: p. [131]

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24Number Theory And Cryptography

Bibliography: p. [131]

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25Invitation To Number Theory With Pascal

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Bibliography: p. [131]

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26Algorithmic Number Theory : 4th International Symposium, ANTS-IV, Leiden, The Netherlands, July 2-7, 2000 : Proceedings

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Bibliography: p. [131]

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27Number Theory: 215-217

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28Elliptic Tales : Curves, Counting, And Number Theory

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29Representation Theory And Number Theory In Connection With The Local Langlands Conjecture : Proceedings Of A Conference Held December 8-14, 1985 With Support From Stiftung Volkswagenwerk, Bayerisches Staatsministerium Für Unterricht Und Kultus, And Gesellschaft Der Freunde Der Universität

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30Application Of Slender Body Theory In Ship Hydrodynamics At High-Froude Number

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31Analytic Number Theory- 18.785- The Selberg Sieve

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32Elementary Number Theory And Its Applications

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33Sieves In Number Theory

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34239 (Number Theory)

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35The Pseudo-Smarandache Function And The Classical Functions Of Number Theory

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The Pseudo-Smarandache function has a simple definition: Given any integer n > 0, the value of the Pseudo-Smarandache function is the smallest integer m such that n evenly divides the sum 1 + 2 + 3 + ... + m. In this paper, several problems concerning this function will be presented and solved. Most will involve the standard number theory functions such as Euler's phi function and the sum of divisors function. [1]

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36Antieigenvalue Analysis, New Applications: Continuum Mechanics, Economics, Number Theory

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My recent book Antieigenvalue Analysis, World-Scientific, 2012, presented the theory of antieigenvalues from its inception in 1966 up to 2010, and its applications within those forty-five years to Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance, and Optimization. Here I am able to offer three further areas of application: Continuum Mechanics, Economics, and Number Theory.

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37Combinatorial And Additive Number Theory : CANT 2011 And 2012

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My recent book Antieigenvalue Analysis, World-Scientific, 2012, presented the theory of antieigenvalues from its inception in 1966 up to 2010, and its applications within those forty-five years to Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance, and Optimization. Here I am able to offer three further areas of application: Continuum Mechanics, Economics, and Number Theory.

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38Theory-of-Mind Development And It‘s Relation To Number Of Siblings And Executive Functions

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This study investigates the relationship between executive functions, the number of siblings, and Theory of Mind (ToM) performance in German preschoolers. Prior research has consistently demonstrated that children with more advanced executive function (EF) skills tend to perform better on ToM tasks (e.g. Fujita et al., 2022). In addition to these cognitive factors, the social environment, particularly the number of siblings has also been shown to influence ToM development positively (Shahaeian et al., 2011). Based on these findings, the present study aims to examine whether executive functions and the number of siblings independently predict children's ToM performance, and whether there is an interaction between these two predictors. Specifically, we hypothesize that both EF and the number of siblings will be positively associated with ToM abilities, and that the effect of EF on ToM may be moderated by sibling count. Children will complete standardized tasks designed to assess their executive functions and Theory of Mind. Demographic information, including the number of siblings, age, and gender, will also be collected.

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39A Portable High-Quality Random Number Generator For Lattice Field Theory Simulations

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The theory underlying a proposed random number generator for numerical simulations in elementary particle physics and statistical mechanics is discussed. The generator is based on an algorithm introduced by Marsaglia and Zaman, with an important added feature leading to demonstrably good statistical properties. It can be implemented exactly on any computer complying with the IEEE--754 standard for single precision floating point arithmetic.

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40Elementary Number Theory

Prepare

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41On The Passage From Local To Global In Number Theory

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The author surveys the problem of piecing together integral or rational solutions to Diophantine equations (global structure) from solutions modulo congruences and real solutions (local structure).

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42Algebraic Number Theory

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The author surveys the problem of piecing together integral or rational solutions to Diophantine equations (global structure) from solutions modulo congruences and real solutions (local structure).

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43Basic Analytic Number Theory

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We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.

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44Adventurer's Guide To Number Theory

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We give an informal introduction to the most basic techniques used to evaluate moments on the critical line of the Riemann zeta-function and to find asymptotics for sums of arithmetic functions.

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45On The Possible Mathematical Model Of Unification Revisited. New Possible Mathematical Connections With Ramanujan Recurring Numbers, DN Constant And Some Parameters Of Number Theory And String Theory

In this revisited paper, we describe a possible Mathematical Model of Unification. We obtain new possible mathematical connections with Ramanujan Recurring Numbers, DN Constant and some parameters of Number Theory and String Theory

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46Undecidability Of A Theory Of Strings, Linear Arithmetic Over Length, And String-Number Conversion

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In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for these theories, such as Z3str2, CVC4, and S3, are of immense practical value in exposing security vulnerabilities in string-intensive programs. Additionally, there are many open decidability and complexity-theoretic questions in the context of theories over strings that are of great interest to mathematicians. Motivated by the above-mentioned applications and open questions, we study a first-order, many-sorted, quantifier-free theory $T_{s,n}$ of string equations, linear arithmetic over string length, and string-number conversion predicate and prove three theorems. First, we prove that the satisfiability problem for the theory $T_{s,n}$ is undecidable via a reduction from a theory of linear arithmetic over natural numbers with power predicate, we call power arithmetic. Second, we show that the string-numeric conversion predicate is expressible in terms of the power predicate, string equations, and length function. This second theorem, in conjunction with the reduction we propose for the undecidability theorem, suggests that the power predicate is expressible in terms of word equations and length function if and only if the string-numeric conversion predicate is also expressible in the same fragment. Such results are very useful tools in comparing the expressive power of different theories, and for establishing decidability and complexity results. Third, we provide a consistent axiomatization ${\Gamma}$ for the functions and predicates of $T_{s,n}$. Additionally, we prove that the theory $T_{\Gamma}$ , obtained via logical closure of ${\Gamma}$, is not a complete theory.

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47Trigonometric Sums In Number Theory And Analysis

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In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for these theories, such as Z3str2, CVC4, and S3, are of immense practical value in exposing security vulnerabilities in string-intensive programs. Additionally, there are many open decidability and complexity-theoretic questions in the context of theories over strings that are of great interest to mathematicians. Motivated by the above-mentioned applications and open questions, we study a first-order, many-sorted, quantifier-free theory $T_{s,n}$ of string equations, linear arithmetic over string length, and string-number conversion predicate and prove three theorems. First, we prove that the satisfiability problem for the theory $T_{s,n}$ is undecidable via a reduction from a theory of linear arithmetic over natural numbers with power predicate, we call power arithmetic. Second, we show that the string-numeric conversion predicate is expressible in terms of the power predicate, string equations, and length function. This second theorem, in conjunction with the reduction we propose for the undecidability theorem, suggests that the power predicate is expressible in terms of word equations and length function if and only if the string-numeric conversion predicate is also expressible in the same fragment. Such results are very useful tools in comparing the expressive power of different theories, and for establishing decidability and complexity results. Third, we provide a consistent axiomatization ${\Gamma}$ for the functions and predicates of $T_{s,n}$. Additionally, we prove that the theory $T_{\Gamma}$ , obtained via logical closure of ${\Gamma}$, is not a complete theory.

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48Number Theory

In recent years there has been considerable interest in theories over string equations, length function, and string-number conversion predicate within the formal verification, software engineering, and security communities. SMT solvers for these theories, such as Z3str2, CVC4, and S3, are of immense practical value in exposing security vulnerabilities in string-intensive programs. Additionally, there are many open decidability and complexity-theoretic questions in the context of theories over strings that are of great interest to mathematicians. Motivated by the above-mentioned applications and open questions, we study a first-order, many-sorted, quantifier-free theory $T_{s,n}$ of string equations, linear arithmetic over string length, and string-number conversion predicate and prove three theorems. First, we prove that the satisfiability problem for the theory $T_{s,n}$ is undecidable via a reduction from a theory of linear arithmetic over natural numbers with power predicate, we call power arithmetic. Second, we show that the string-numeric conversion predicate is expressible in terms of the power predicate, string equations, and length function. This second theorem, in conjunction with the reduction we propose for the undecidability theorem, suggests that the power predicate is expressible in terms of word equations and length function if and only if the string-numeric conversion predicate is also expressible in the same fragment. Such results are very useful tools in comparing the expressive power of different theories, and for establishing decidability and complexity results. Third, we provide a consistent axiomatization ${\Gamma}$ for the functions and predicates of $T_{s,n}$. Additionally, we prove that the theory $T_{\Gamma}$ , obtained via logical closure of ${\Gamma}$, is not a complete theory.

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  • Title: Number Theory
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49On Some Equations Concerning The Ramanujan Unpublished Papers And Four-dimensional Pseudo-particle. New Possible Mathematical Connections With Various Parameters Of Theoretical Physics, String Theory, Supersymmetry Breaking And Number Theory. II

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On some equations concerning the Ramanujan unpublished papers and four-dimensional pseudo-particle. New possible mathematical connections with various parameters of Theoretical Physics, String Theory, Supersymmetry Breaking and Number Theory

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50NASA Technical Reports Server (NTRS) 19710019302: Comparisons Of Turbulent-boundary-layer Measurements At Mach Number 19.5 With Theory And An Assessment Of Probe Errors

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Measurements of total temperature and pitot pressure across boundary layer of test section wall of axisymmetric contoured nozzle at hypersonic speed in nitrogen

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1Number theory

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  • First Year Published: 1984
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2Basic Number Theory. (Grundlehren der mathematischen Wissenschaften)

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  • Number of Pages: Median: 325
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"Locally compact fields"

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  • First Year Published: 1985
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3Basic number theory

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  • Number of Pages: Median: 312
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  • Publish Location: New York - Berlin

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  • First Year Published: 1967
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