The Dimension of the Spaces of Cusp Forms on Siegel Upper Half Plane of Degree Two.
The first negative Hecke eigenvalue of a Siegel cusp form of genus two
The fundamental lemma of a relative trace formula for
The Kodaira dimension of certain moduli spaces of abelian surfaces
The Maaß Space and Hecke Operators.
The Picard group of Siegel modular threefolds.
The universal periods of curves and the Schottky problem
Theta functions of quadratic forms over imaginary quadratic fields
1. Introduction. Let Q be a positive definite n × n matrix with integral entries and even diagonal entries. It is well known that the theta function , Im z > 0, is a modular form of weight n/2 on , where N is the level of Q, i.e. is integral and has even diagonal entries. This was proved by Schoeneberg [5] for even n and by Pfetzer [3] for odd n. Shimura [6] uses the Poisson summation formula to generalize their results for arbitrary n and he also computes the theta multiplier explicitly....
Thetanullwerte and stable modular forms for Hecke groups.
Theta-transforms and even zeta functions of Siegel modular forms