On the Borisov-Gunnells relations for products of Eisenstein series

Fuente: arXiv
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Main Author: Brunault, François
Format: Preprint
Published: 2024
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author Brunault, François
author_facet Brunault, François
contents Borisov and Gunnells have proved that certain linear combinations of products of Eisenstein series are Eisenstein series themselves, in analogy with the Manin relations for modular symbols. We devise a new method for determining and proving such relations, by differentiating with respect to the parameters of the Eisenstein series.
format Preprint
id arxiv_https___arxiv_org_abs_2404_07550
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the Borisov-Gunnells relations for products of Eisenstein series
Brunault, François
Number Theory
Borisov and Gunnells have proved that certain linear combinations of products of Eisenstein series are Eisenstein series themselves, in analogy with the Manin relations for modular symbols. We devise a new method for determining and proving such relations, by differentiating with respect to the parameters of the Eisenstein series.
title On the Borisov-Gunnells relations for products of Eisenstein series
topic Number Theory
url https://arxiv.org/abs/2404.07550