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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 11, Pages 67–71 (Mi ivm4257)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Representation of automorphic forms as lacunary series and Blaschke products

F. N. Garif'yanov

Chair of Higher Mathematics, Kazan State Energy University, Kazan, Russia
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Abstract: In this paper we consider the Fuchs groups of the convergent type. We construct automorphic forms of various weights in terms of lacunar series with respect to a set of group transformations that does not have the structure of a subgroup. We also construct an automorphic form of zero weight that represents the Blaschke product.
Keywords: Fuchs groups of the convergent type, automorphic forms.
Received: 31.03.2008
Revised: 11.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 11, Pages 58–62
DOI: https://doi.org/10.3103/S1066369X09110085
Bibliographic databases:
Document Type: Article
UDC: 517.537
Language: Russian
Citation: F. N. Garif'yanov, “Representation of automorphic forms as lacunary series and Blaschke products”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11, 67–71; Russian Math. (Iz. VUZ), 53:11 (2009), 58–62
Citation in format AMSBIB
\Bibitem{Gar09}
\by F.~N.~Garif'yanov
\paper Representation of automorphic forms as lacunary series and Blaschke products
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 11
\pages 67--71
\mathnet{http://mi.mathnet.ru/ivm4257}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657242}
\zmath{https://zbmath.org/?q=an:05656578}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 11
\pages 58--62
\crossref{https://doi.org/10.3103/S1066369X09110085}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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