Special values and mixed weight triple products (With an Appendix by Don Blasius).
Special values of the elliptic modular function and factorization formulae.
Special values of zeta functions attached to Siegel modular forms
Square Integrable Automorphic Forms and Cohomology of Arithmetic Quotients of SU (p,q).
Stabile Modul formen.
Su una generazione del gruppo simplettico modulare di Siegel-Conforto
Support polygons and the resolution of modular functional singularities
Sur les valeurs asymptotiques de quelques fonctions numériques.
Sur une formule de M. Hermite. (Extrait d'une lettre adressée à M. Hermite).
Surjectivity of Siegel -operator for square free level and small weight
We show the surjectivity of the (global) Siegel -operator for modular forms for certain congruence subgroups of and weight , where the standard techniques (Poincaré series or Klingen-Eisenstein series) are no longer available. Our main tools are theta series and genus versions of basis problems.
The Eichler Commutation Relation for theta series with spherical harmonics
It is well known that classical theta series which are attached to positive definite rational quadratic forms yield elliptic modular forms, and linear combinations of theta series attached to lattices in a fixed genus can yield both cusp forms and Eisenstein series whose weight is one-half the rank of the quadratic form. In contrast, generalized theta series - those augmented with a spherical harmonic polynomial - will always yield cusp forms whose weight is increased by the degree of the...
The Equations Defining Abelian Varieties and Modular Functions.
The evaluation of two-dimensional lattice sums via Ramanujan's theta functions
We analyze various generalized two-dimensional lattice sums, one of which arose from the solution to a certain Poisson equation. We evaluate certain lattice sums in closed form using results from Ramanujan's theory of theta functions, continued fractions and class invariants. Many explicit examples are given.
The Fourier expansion of Epstein's zeta function over an algebraic number field and its consequences for algebraic number theory
The Kubota symbol for the symplectic group over an imaginary quadratic number field.
The Laplace operator on a hyperbolic manifold. II. Eisenstein series and the scattering matrix.
The Maaß-Space on the Half-Space of Quaternions of Degree 2.
The new properties of the theta functions
It is shown, that the function
The p-Primary Component of the Cuspidal Divisor Class Group on the Modular Curve X(p).
The Rationality of Holomorphic Eisenstein Series.