Values of modular functions at real quadratics and conjectures of Kaneko

DOI10.1007/s00208-020-01979-6zbMath1464.11047arXiv1812.07418OpenAlexW3014054206WikidataQ122942060 ScholiaQ122942060MaRDI QIDQ2182382

Özlem Imamoḡlu, Paloma Bengoechea

Publication date: 23 May 2020

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07418

zbMATH Keywords

modular functionsKaneko conjecturesmodular \(j\)-invariant

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Values of arithmetic functions; tables (11Y70)

Related Items (3)

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

Cites Work

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• The asymptotic distribution of traces of cycle integrals of the \(j\)-function
• Cycle integrals of the \(j\)-function and mock modular forms
• Coding of closed geodesics after Gauss and Morse
• Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko
• Weyl Sums for Quadratic Roots
• OBSERVATIONS ON THE ‘VALUES’ OF THE ELLIPTIC MODULAR FUNCTION j(τ) AT REAL QUADRATICS
• Class numbers and quadratic residues
• Yokoi's conjecture
• Chowla's conjecture
• Divisibility of integer polynomials and tilings of the integers

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