Explore: Jacobi Forms

In mathematics, a Jacobi form is an automorphic form on the Jacobi group, which is the semidirect product of the symplectic group Sp(n;R) and the Heisenberg

classical modular forms (which are sometimes called elliptic modular forms to emphasize the point) are related to elliptic curves. Jacobi forms are a mixture

meromorphic Jacobi forms. Zwegers's fundamental result shows that mock theta functions are the "holomorphic parts" of real analytic modular forms of weight

faces. The larger of the craters on the north rim, Jacobi O, forms a member of a chain of craters that form a rough line across the interior floor from northeast

Carl Gustav Jacob Jacobi (/dʒəˈkoʊbi/; German: [jaˈkoːbi]; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental contributions

can be used to define a variety of modular forms, and to parametrize certain curves; in particular, the Jacobi identity is θ 2 ( q ) 4 + θ 4 ( q ) 4 = θ

the Jacobi fields along a geodesic form the tangent space to the geodesic in the space of all geodesics. They are named after Carl Jacobi. Jacobi fields

Sir Derek George Jacobi (/ˈdʒækəbi/; born 22 October 1938) is an English actor. Known for his roles on stage and screen as well as for his work at the

Maass cusp form Automorphic Forms on GL(2), a book by H. Jacquet and Robert Langlands Jacobi form Friedberg, Solomon. "Automorphic Forms: A Brief Introduction"

Gustav Jacob Jacobi. Automorphic forms in the Jacobi group are called Jacobi forms. Eichler, Martin; Zagier, Don (1985), The theory of Jacobi forms, Progress