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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 963–972 (Mi smj1781)  
This article is cited in 2 scientific papers (total in 2 papers)

Constructing an automorphic form from the orbit of a transformation

E. P. Aksent'evaa, F. N. Garif'yanovb

a Kazan State University
b Kazan State Power Engineering University
Full-text PDF (311 kB) Citations (2)
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Abstract: We consider the Fuchsian groups of linear-fractional transformations. We propose a new method for presenting automorphic forms as gap series over an appropriate subset of transformations of the group which is not a subgroup. Comparative analysis of the Poincaré theta-series and gap series demonstrates that the use of gap series requires less transformations and parameters that the summands of series depend on.
Keywords: Fuchsian group of linear-fractional transformations, Poincaré theta-series.
Received: 23.04.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 769–777
DOI: https://doi.org/10.1007/s11202-007-0079-0
Bibliographic databases:
UDC: 517.537+512.817
Language: Russian
Citation: E. P. Aksent'eva, F. N. Garif'yanov, “Constructing an automorphic form from the orbit of a transformation”, Sibirsk. Mat. Zh., 48:5 (2007), 963–972; Siberian Math. J., 48:5 (2007), 769–777
Citation in format AMSBIB
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\paper Constructing an automorphic form from the orbit of a~transformation
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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