Limit laws for rational continued fractions and value distribution of quantum modular forms

DOI10.1112/plms.12485arXiv1903.00457OpenAlexW2919419678MaRDI QIDQ6075048

Sandro Bettin, Sary Drappeau

Publication date: 20 September 2023

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00457

zbMATH Keywords

Gauss mapcontinued fractionsquantum modular formsarithmetic statistics

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Continued fractions (11A55) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (4)

Wide moments of L-functions. I: Twists by class group characters of imaginary quadratic fields ⋮ On the order of magnitude of Sudler products ⋮ On the distribution of partial quotients of reduced fractions with fixed denominator ⋮ Maximizing Sudler products via Ostrowski expansions and cotangent sums

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