𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multilinear Operators on Siegel Modular Forms of Genus 1 and 2

✍ Scribed by YoungJu Choie

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
93 KB
Volume
232
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Explicit Action of Hecke Operators on Si
Explicit Action of Hecke Operators on Siegel Modular Forms
✍ James Lee Hafner; Lynne H Walling πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 182 KB

We develop an algorithm for determining an explicit set of coset representatives (indexed by lattices) for the action of the Hecke operators T(p), T j (p 2 ) on Siegel modular forms of fixed degree and weight. This algorithm associates each coset representative with a particular lattice W, pL Δ± W Δ±

On convolutions of Siegel modular forms
On convolutions of Siegel modular forms
✍ Γ–zlem Imamoğlu; Yves Martin πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 289 KB

## Abstract In this article we study a Rankin‐Selberg convolution of __n__ complex variables for pairs of degree __n__ Siegel cusp forms. We establish its analytic continuation to β„‚^__n__^, determine its functional equations and find its singular curves. Also, we introduce and get similar results f

An Analogy of Bol's Result on Jacobi For
An Analogy of Bol's Result on Jacobi Forms and Siegel Modular Forms
✍ Youngju Choie; Haesuk Kim πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 104 KB

In this paper, the analogy of Bol's result to the several variable function case is discussed. One shows how to construct Siegel modular forms and Jacobi forms of higher degree, respectively, using Bol's result.

On Integers of the Forms kβˆ’2n and k2n+1
On Integers of the Forms kβˆ’2n and k2n+1
✍ Yong-Gao Chen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 85 KB

In this paper we prove that the set of positive odd integers k such that k&2 n has at least three distinct prime factors for all positive integers n contains an infinite arithmetic progression. The same result corresponding to k2 n +1 is also true.