On approximate summation of Poincaré series in the Schottky model

DOI10.1134/S1064562422040123zbMath1502.30127OpenAlexW4312740526MaRDI QIDQ2079177

Sergeĭ Yu. Lyamaev

Publication date: 29 September 2022

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422040123

zbMATH Keywords

Riemann surfacesuniformizationreal hyperelliptic curvesSchottky groupsPoincaré theta series

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• Analytic Number Theory, Approximation Theory, and Special Functions
• Representation of moduli spaces of curves and calculation of extremal polynomials
• Effective computation of Chebyshev polynomials for several intervals

This page was built for publication: On approximate summation of Poincaré series in the Schottky model