Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves

DOI10.4064/aa220314-13-10zbMath1506.11079arXiv2203.08526OpenAlexW4312451638MaRDI QIDQ5058630

A. Lägeler, Markus Schwagenscheidt

Publication date: 21 December 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.08526

zbMATH Keywords

geodesicscycle integralsPoincaré seriesmodular formsmodular integrals

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Extended-cycle integrals of modular functions for badly approximable numbers ⋮ A hyperbolic analogue of the Rademacher symbol

Cites Work

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• Rational period functions and cycle integrals
• Cycle integrals of the \(j\)-function and mock modular forms
• Fourier coefficients and modular forms of half-integral weight
• Closed geodesics, periods and arithmetic of modular forms
• Fourier coefficients of modular forms of half-integral weight
• Computing intersections of closed geodesics on the modular curve
• Modular cocycles and linking numbers

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