Some congruences for Siegel theta series
Rainer Schulze-Pillot
TL;DR
This paper explores the arithmetic properties and congruence relations of Siegel theta series associated with even positive definite unimodular quadratic forms, providing new insights into their structure.
Contribution
It introduces an arithmetic approach to analyze congruences of Siegel theta series for unimodular quadratic forms, advancing understanding of their arithmetic properties.
Findings
Identifies specific congruence relations for Siegel theta series
Provides a new arithmetic framework for studying theta series
Enhances understanding of quadratic forms and their theta functions
Abstract
We discuss an arithmetic approach to some congruence properties of Siegel theta series of even positive definite unimodular quadratic forms.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Mathematical Identities · Advanced Combinatorial Mathematics