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// Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
// Archive
Dokl. RAN. Math. Inf. Proc. Upr.,
2022
Volume 505,
Pages
42–45
(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
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.
UDC:
517.545
Presented:
E. E. Tyrtyshnikov
Received: 09.01.2022
Revised: 16.04.2022
Accepted: 12.05.2022
DOI:
10.31857/S2686954322040129
References
English version:
Doklady Mathematics, 2022,
106
:1,
247–250
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
References
