Cycle integrals of the \(j\)-function on Markov geodesics

DOI10.4171/CMH/535WikidataQ114021516 ScholiaQ114021516MaRDI QIDQ2693156

Paloma Bengoechea

Publication date: 17 March 2023

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09619

zbMATH Keywords

cycle integralsbinary quadratic formsmodular forms\(j\)-functionMarkov quadratic irrationalities

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) General binary quadratic forms (11E16)

Related Items (2)

Extended-cycle integrals of modular functions for badly approximable numbers ⋮ Cycle integrals of the \(j\)-function on Markov geodesics

Cites Work

• The asymptotic distribution of traces of cycle integrals of the \(j\)-function
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• Cycle integrals of the \(j\)-function and mock modular forms
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• Rational period functions and indefinite binary quadratic forms. I
• Values of modular functions at real quadratics and conjectures of Kaneko
• Continued fractions and the Markoff tree
• Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko
• Modular cocycles and linking numbers
• Cycle integrals of the \(j\)-function on Markov geodesics
• Weyl Sums for Quadratic Roots
• Real Quadratic Analogs of Traces of Singular Moduli
• A Tribute to Emil Grosswald: Number Theory and Related Analysis
• OBSERVATIONS ON THE ‘VALUES’ OF THE ELLIPTIC MODULAR FUNCTION j(τ) AT REAL QUADRATICS
• On the Number of Markoff Numbers Below a Given Bound
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