Asymptotic bounds for cycle integrals of the j-function on Markov\n geodesics

2021/06/17 by Paloma Bengoechea, Bengoechea, Paloma · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2106.09619

openalex publication_date 2021/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give asymptotic upper and lower bounds for the real and imaginary parts of\ncycle integrals of the classical modular j-function along geodesics that\ncorrespond to Markov irrationalities.\n

Citations

• Cycle integrals of the j-function and mock modular forms

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• Real part of cycle integrals and conjectures of Kaneko

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