G. V. Voskresenskaya, “The spaces that contain multiplicative eta-functions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, Issue 6(97),Pages <nobr>5

This article is cited in 2 papers

Mathematics

The spaces that contain multiplicative eta-functions

G. V. Voskresenskaya

Dept. of Algebra and Geometry, Samara State University, Samara, 443011, Russian Federation

Abstract: In the article we study the structure of the spaces of modular forms that contain the multiplicative eta-functions.We find dimensions and basises. We also study the behavior of the functions in cusps.

Keywords: spaces of modular forms, Dedekind eta-function, cusps.

UDC: 511.334

Received: 22.03.2012
Accepted: 22.03.2012