Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 136, Pages 103–137 (Mi into201)  
This article is cited in 4 scientific papers (total in 4 papers)

Dedekind eta-function in modern research

G. V. Voskresenskaya

Samara National Research University
Full-text PDF (397 kB) Citations (4)
Abstract: In this paper, we describe properties of the Dedekind eta-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. The special attention is paid to the special class of modular forms, namely, eta-functions with multiplicative coefficients.
Keywords: modular forms, cusp forms, Dedekind eta-function, combinatorial identities, group representations, structure theorems.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00154A
This work was partially supported by the Russian Foundation for Basic Research (project No. 16-01-00154A).
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 235, Issue 6, Pages 788–833
DOI: https://doi.org/10.1007/s10958-018-4093-5
Bibliographic databases:
Document Type: Article
UDC: 511.334, 512.547
MSC: 11F11, 20C05
Language: Russian
Citation: G. V. Voskresenskaya, “Dedekind eta-function in modern research”, Proceedings of the Seminar on algebra and geometry of the Samara University, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 136, VINITI, Moscow, 2017, 103–137; J. Math. Sci. (N. Y.), 235:6 (2018), 788–833
Citation in format AMSBIB
\Bibitem{Vos17}
\by G.~V.~Voskresenskaya
\paper Dedekind eta-function in modern research
\inbook Proceedings of the Seminar on algebra and geometry of the Samara University
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 136
\pages 103--137
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3808189}
\zmath{https://zbmath.org/?q=an:07001315}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 235
\issue 6
\pages 788--833
\crossref{https://doi.org/10.1007/s10958-018-4093-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85055739078}
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  • https://www.mathnet.ru/eng/into/v136/p103
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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