Work

The structure of Siegel modular forms modulo $p$ and $U(p)$ congruences

Year: 2015

Type: article

Abstract: We determine the ring structure of Siegel modular forms of degree g modulo a prime p, extending Nagaoka's result in the case of degree g = 2.We characterize U (p) congruences of Jacobi forms and Siegel modular forms, and surprisingly find different behaviors of Siegel modular forms of even and odd degrees.

Source: Mathematical Research Letters

DOI: 10.4310/mrl.2015.v22.n3.a14

Authors: Martin Raum, Olav K. Richter

Institutions: ETH Zurich, University of North Texas

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Eidgenössische Technische Hochschule Zürich

OpenAlex ID: W1443788872