منابع مشابه
Jacobi Forms over Number Fields
OF THE DISSERTATION Jacobi Forms over Number Fields by Howard Skogman Doctor of Philosophy in Mathematics University of California San Diego, 1999 Professor Harold Stark, Chair We de ne Jacobi Forms over an algebraic number eld K and construct examples by rst embedding the group and the space into the symplectic group and the symplectic upper half space respectively. We then create symplectic m...
متن کاملOn Congruences of Jacobi Forms
We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate’s theory of theta cycles to Jacobi forms, which allows us to prove a criterion for an analog of Atkin’s U-operator applied to a Jacobi form to be nonzero modulo a prime.
متن کاملOzeki Polynomials and Jacobi Forms
A Jacobi polynomial was introduced by Ozeki. It corresponds to the codes over F2. Later, Bannai and Ozeki showed how to construct Jacobi forms with various index using a Jacobi polynomial corresponding to the binary codes. It generalizes Broué-Enguehard map. In this paper, we study Jacobi polynomial which corresponds to the codes over F2f . We show how to construct Jacobi forms with various ind...
متن کاملTernary codes and Jacobi forms
In this paper we study the bivariate theta-series which can be attached to the complete weight enumerator of ternary codes. We give an injective homorphism between the ring of invariants of a certain matrix group and the ring of Jacobi modular forms. This generalizes to Jacobi forms a result of Brou% e and Enguehard [Ann. Sci. % Ecole Norm. Sup. 5 (4) (1972) 157–181] on classical modular forms....
متن کاملJacobi Forms of Degree One
We show that a certain subspace of space of elliptic cusp forms is isomorphic as a Hecke module to a certain subspace of space of Jacobi cusp forms of degree one with matrix index by constructing an explicit lifting. This is a partial generalization of the work of Skoruppa and Zagier. This lifting is also related with the Ikeda lifting.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1995
ISSN: 0002-9947
DOI: 10.2307/2154921