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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 505, Pages 42–45
DOI: https://doi.org/10.31857/S2686954322040129 (Mi danma275) 		 
MATHEMATICS

On approximate summation of Poincaré series in the Schottky model

S. Yu. Lyamaev

Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954322040129
Abstract: For approximate summation of Poincaré theta series in the Schottky model of real hyperelliptic curves, modifications of the Bogatyrev and Schmies algorithms are proposed that reduce the number of summed terms without losing accuracy.
Keywords: Schottky groups, Poincare theta series, uniformization, real hyperelliptic curves, Riemann surfaces.
Funding agency Grant number
Russian Science Foundation 21-11-00325
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1624
This work was supported the Russian Science Foundation, grant no. 21-11-00325. The development of the modified algorithms was supported by the Moscow Center for Fundamental and Applied Mathematics, Department at the Marchuk Institute of Numerical Mathematics of the Russian Academy of Sciences, agreement no. 075-15-2019-1624.
Presented: E. E. Tyrtyshnikov
Received: 09.01.2022
Revised: 16.04.2022
Accepted: 12.05.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 1, Pages 247–250
DOI: https://doi.org/10.1134/S1064562422040123
Bibliographic databases:
Document Type: Article
UDC: 517.545
Language: Russian
Citation: S. Yu. Lyamaev, “On approximate summation of Poincaré series in the Schottky model”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 42–45; Dokl. Math., 106:1 (2022), 247–250
Citation in format AMSBIB
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\paper On approximate summation of Poincar\'e series in the Schottky model
\jour Dokl. RAN. Math. Inf. Proc. Upr.
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\pages 42--45
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\crossref{https://doi.org/10.31857/S2686954322040129}
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\transl
\jour Dokl. Math.
\yr 2022
\vol 106
\issue 1
\pages 247--250
\crossref{https://doi.org/10.1134/S1064562422040123}
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