On p-adic Siegel Eisenstein series from a point of view of the theory of mod p^m singular forms

2023/06/06 by Siegfried Boecherer, Boecherer, Siegfried, Toshiyuki Kikuta +1
Mathematics · #11F33 #11F46 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2306.03578

openalex publication_date 2023/06/06 · openalex created_date 2023/06/09 · openalex updated_date 2026/07/28

Abstract

We show that the p-adic Siegel Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level p, by applying the theory of mod p-power singular forms. As special cases of this result, we derive the result of Nagaoka and Katsurada--Nagaoka.

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