On distinguishing Siegel cusp forms of degree two

Fuente: arXiv
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Autori principali: Wei, Zhining, Yi, Shaoyun
Natura: Preprint
Pubblicazione: 2022
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author Wei, Zhining
Yi, Shaoyun
author_facet Wei, Zhining
Yi, Shaoyun
contents In this work, we establish several results on distinguishing Siegel cusp forms of degree two. In particular, a Hecke eigenform of level one can be determined by its second Hecke eigenvalue under a certain assumption. Moreover, we can distinguish two Hecke eigenforms of level one by using $L$-functions.
format Preprint
id arxiv_https___arxiv_org_abs_2207_13234
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle On distinguishing Siegel cusp forms of degree two
Wei, Zhining
Yi, Shaoyun
Number Theory
11F46, 11F60, 11F66
In this work, we establish several results on distinguishing Siegel cusp forms of degree two. In particular, a Hecke eigenform of level one can be determined by its second Hecke eigenvalue under a certain assumption. Moreover, we can distinguish two Hecke eigenforms of level one by using $L$-functions.
title On distinguishing Siegel cusp forms of degree two
topic Number Theory
11F46, 11F60, 11F66
url https://arxiv.org/abs/2207.13234