On the asymptotic behavior of Sudler products along subsequences

DOI10.1016/j.jmaa.2022.126841OpenAlexW3149758022MaRDI QIDQ2102126

Mario Neumüller

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14307

zbMATH Keywords

continued fractionKronecker sequenceOstrowski representationtrigonometric product

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Well-distributed sequences and other variations (11K36)

Cites Work

• Unnamed Item
• Growth of the Sudler product of sines at the golden rotation number
• Strange attractors that are not chaotic
• Real numbers with bounded partial quotients: A survey
• The size of \((q;q)_n\) for \(q\) on the unit circle
• Sums of fractional parts of integer multiples of an irrational
• Asymptotic behaviour of the Sudler product of sines for quadratic irrationals
• Two arithmetic applications of perturbations of composition operators
• Quantum invariants of hyperbolic knots and extreme values of trigonometric products
• On Weyl products and uniform distribution modulo one
• Self-similarity and growth in Birkhoff sums for the golden rotation
• On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski)
• 5. On the asymptotic behavior of the sine productΠⁿ _{r =1} /2 sin πrα/
• Asymptotic distribution $\mathrm{mod} m$ and independence of sequences of integers, I
• On the discrepancy of two-dimensional perturbed Halton--Kronecker sequences and lacunary trigonometric products
• The partition function of ABJ theory
• A positive lower bound for liminf_{𝑁→∞}∏ᵣ₌₁^{𝑁}|2sin𝜋𝑟𝜑|
• AN ESTIMATE FOR A RESTRICTED PARTITION FUNCTION
• PROOF OF A CONJECTURE OF SUDLER'S
• On the order of magnitude of Sudler products

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