Remark on the Farey fraction spin chain
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Publication:6083334
DOI10.1090/proc/16520arXiv2304.08143OpenAlexW4367848698MaRDI QIDQ6083334
Publication date: 31 October 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.08143
Asymptotic results on arithmetic functions (11N37) Lattice points in specified regions (11P21) Matrices, determinants in number theory (11C20)
Cites Work
- On the representation of a number as the sum of a square and a product
- A Farey fraction spin chain
- Positive limit-Fourier transform of Farey fractions
- Hooley's problem on representations of a number as the sum of a square and a product
- Pairs of Matrices in <em>GL</em><sub>2</sub>(R<sub>≥0</sub>) That Freely Generate
- Distribution of Lévy constants for quadratic numbers
- Products of matrices and and the distribution of reduced quadratic irrationals
- The limit distribution of a number theoretic function arising from a problem in statistical mechanics
- On asymptotic properties of a number theoretic function arising out of a spin chain model in statistical mechanics
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