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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2016 Volume 99, Issue 6, Pages 867–877 (Mi mzm10582)
This article is cited in 2 papers

Decomposition of Spaces of Modular Forms

G. V. Voskresenskaya

Samara State University

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

Keywords: space of cusp forms, modular form, Dedekind $\eta$-function, $\eta$-product, Dirichlet character, Cohen–Osterle formula, Jacobi symbol, Eisenstein series, parabolic vertex.

UDC: 511.334

Received: 05.07.2014
Revised: 10.04.2015

DOI: 10.4213/mzm10582


 English version: Mathematical Notes, 2016, 99:6, 851–860

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© Steklov Math. Inst. of RAS, 2025