has connected fibers.
Jacobi forms and a certain space of modular forms.
Jacobi forms and certain special values of Dirichlet series associated to modular form.
Jacobi Forms and Discrete Series Representations of the Jacobi Group.
Jacobi forms on symmetric domains and torus bundles over Abelian schemes.
Jacobi forms over imaginary quadratic number fields
Jacobi sums and cyclotomic numbers for a finite field
Jacobi sums and cyclotomic numbers of order l²
Jacobi sums and explicit reciprocity laws
Jacobi sums over finite fields
Jacobi symbols, ambiguous ideals, and continued fractions
The purpose of this paper is to generalize some seminal results in the literature concerning the interrelationships between Legendre symbols and continued fractions. We introduce the power of ideal theory into the arena. This allows significant improvements over the existing results via the infrastructure of real quadratic fields.
Jacobian Nullwerte, periods and symmetric equations for hyperelliptic curves
We propose a solution to the hyperelliptic Schottky problem, based on the use of Jacobian Nullwerte and symmetric models for hyperelliptic curves. Both ingredients are interesting on its own, since the first provide period matrices which can be geometrically described, and the second have remarkable arithmetic properties.
Jacobians in isogeny classes of abelian surfaces over finite fields
We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus- curves over finite fields.
Jacobians of Drinfeld modular curves.
Jacobi-Eisenstein series and -adic interpolation of symmetric squares of cusp forms
The aim of this paper is to construct and calculate generating functions connected with special values of symmetric squares of modular forms. The Main Theorem establishes these generating functions to be Jacobi-Eisenstein series i.e. Eisenstein series among Jacobi forms. A theorem on -adic interpolation of the special values of the symmetric square of a -ordinary modular form is proved as a corollary of our Main Theorem.
Jacobi-Eisenstein series of degree two over Cayley numbers.
We shall develop the general theory of Jacobi forms of degree two over Cayley numbers and then construct a family of Jacobi- Eisenstein series which forms the orthogonal complement of the vector space of Jacobi cusp forms of degree two over Cayley numbers. The construction is based on a group representation arising from the transformation formula of a set of theta series.
Jacobiformen und Thetareihen.
Jacobi-sum Hecke characters and Gauss-sum identities
Jacobi-sum Hecke characters of imaginary quadratic fields
Jacobsthal numbers and alternating sign matrices.