Decomposition of spaces of modular forms

G. V. Voskresenskaya

doi:10.1134/S0001434616050230

Decomposition of spaces of modular forms

Authors: Voskresenskaya G.V.¹
Affiliations:
1. Samara State University
Issue: Vol 99, No 5-6 (2016)
Pages: 851-860
Section: Short Communications
URL: https://ogarev-online.ru/0001-4346/article/view/149447
DOI: https://doi.org/10.1134/S0001434616050230
ID: 149447

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Abstract
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Abstract

Structural theorems for spaces of modular forms with respect to congruence subgroups are proved. The Dedekind η-function plays an important role in our study.

Keywords

space of cusp forms, modular form, Dedekind η-function, η-product, Dirichlet character, Cohen–Osterle formula, Jacobi symbol, Eisenstein series, parabolic vertex

About the authors

G. V. Voskresenskaya

Samara State University

Author for correspondence.
Email: gsolvosk@mail.ru
Russian Federation, Samara

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