Summation of Poincaré theta series in the Schottky model

DOI10.1134/S0965542522070053zbMath1497.65006OpenAlexW4302371591MaRDI QIDQ2168996

Sergeĭ Yu. Lyamaev

Publication date: 29 August 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522070053

zbMATH Keywords

Riemann surfacesCayley graphuniformizationreal hyperelliptic curvesSchottky groupsPoincaré theta series

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Numerical summation of series (65B10)

Uses Software

• SKPrime

Cites Work

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• Real meromorphic differentials: a language for describing meron configurations in planar magnetic nanoelements
• Analytical approach to multiband filter synthesis and comparison to other approaches
• Filtration under a stepped dam and Riemann theta functions
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• Computing the Schottky-Klein prime function on the Schottky double of planar domains
• Extremal Polynomials and Riemann Surfaces
• Representation of moduli spaces of curves and calculation of extremal polynomials
• Effective computation of Chebyshev polynomials for several intervals

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