Limit Laws of Maximal Birkhoff Sums for Circle Rotations via Quantum Modular Forms

DOI10.1093/imrn/rnad107arXiv2303.07796OpenAlexW4380677448MaRDI QIDQ6182637

Bence Borda

Publication date: 25 January 2024

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.07796

zbMATH Keywords

Birkhoff sumZagier's continuity conjecture

Mathematics Subject Classification ID

Discontinuous groups and automorphic forms (11F99) General theory of distribution modulo (1) (11K06) Relations between ergodic theory and number theory (37A44)

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