Extended-cycle integrals of modular functions for badly approximable numbers

DOI10.1007/s40993-023-00457-7arXiv2110.08452OpenAlexW4381193443MaRDI QIDQ6175148

Yuya Murakami

Publication date: 21 July 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.08452

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Complex multiplication and moduli of abelian varieties (11G15) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Cycle integrals of the \(j\)-function and mock modular forms
• Geodesic and horocyclic trajectories. Transl. from the French by the author
• On certain ray class invariants of real quadratic fields
• A continuity of cycle integrals of modular functions
• Values of modular functions at real quadratics and conjectures of Kaneko
• Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko
• Class fields over real quadratic fields and Hecke operators
• Cycle integrals of the \(j\)-function on Markov geodesics
• OBSERVATIONS ON THE ‘VALUES’ OF THE ELLIPTIC MODULAR FUNCTION j(τ) AT REAL QUADRATICS
• Cycle integrals of the Parson Poincaré series and intersection angles of geodesics on modular curves
• Eisenstein series of even weight 𝑘≥2 and integral binary quadratic forms

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