We formulate a precise conjecture about the size of the L∞-mass of the space of Jacobi
forms on H n× C g× n of matrix index S of size g. This L∞-mass is measured by the size of …

This monograph introduces two approaches to studying Siegel modular forms: the classical
approach as holomorphic functions on the Siegel upper half space, and the approach via …

We investigate some key analytic properties of Fourier coefficients and Hecke eigenvalues
attached to scalar-valued Siegel cusp forms of degree 2, weight and level. First, assuming …

In the first half of the paper, we lay down a classical approach to the study of Saito-Kurokawa
(SK) lifts of (Hecke congruence) square-free level, including the allied new-oldform theory …

Given a congruence of Hecke eigenvalues between newforms f and g of odd, square free
level, and weight 2 κ - 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} …

Following Ryan and Tornaría, we prove that moduli of congruences of Hecke eigenvalues,
between Saito–Kurokawa lifts and non-lifts (certain Siegel modular forms of genus 2), occur …

Differential Operators on Modular Forms Page 1 Chapter 11 Differential Operators on Modular
Forms In this chapter, we assume that Γ is a congruence subgroup of SL(2, Z), and consider a …

For an imaginary quadratic field K of discriminant− D, let χ= χ K be the associated quadratic
character. We will show that the space of special hermitian Jacobi forms of level N is …

10.2. The local integral computation 70 10.3. Global integral representation 71 10.4.
Classical reformulation 72 10.5. Arithmetic results in genus 2 73 Appendix A. GL 2 Notes …