Email this article Dedekind η-Function in Modern Research
- Authors: Voskresenskaya G.V.1
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Affiliations:
- Samara University
- Issue: Vol 235, No 6 (2018)
- Pages: 788-822
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242159
- DOI: https://doi.org/10.1007/s10958-018-4093-5
- ID: 242159
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Abstract
In this paper, we describe properties of the Dedekind η-function, constructions arising from it, and their applications in various topics of the number theory and algebra. We discuss connections with the group representation theory and the study of the structure of spaces of modular forms. Special attention is paid to the special class of modular forms, namely, η-functions with multiplicative coefficients.
About the authors
G. V. Voskresenskaya
Samara University
Author for correspondence.
Email: galvosk@mail.ru
Russian Federation, Samara
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