Asymptotic behaviour of the Sudler product of sines for quadratic irrationals

Sigrid Grepstad, Mario Neumüller

Type: Article

Publication Date: 2018-05-24

Citations: 13

DOI: https://doi.org/10.1016/j.jmaa.2018.05.045

View Publication

Locations

Journal of Mathematical Analysis and Applications - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Asymptotic behaviour of the Sudler product of sines for quadratic irrationals	2018	Sigrid Grepstad Mario Neumüller
+	Asymptotic behaviour of the Sudler product of sines for quadratic irrationals	2018	Sigrid Grepstad Mario Neumüller
+	On the asymptotic behaviour of the sine product $\prod_{r=1}^n\|2\sin(πr α)\|$	2019	Sigrid Grepstad Lisa Kaltenböck Mario Neumüller
+	On the asymptotic behaviour of the sine product $\prod_{r=1}^n\|2\sin(\pi r \alpha)\|$	2019	Sigrid Grepstad Lisa Kaltenböck Mario Neumüller
+	On extreme values for the Sudler product of quadratic irrationals	2021	Manuel Hauke
+	On length of the period of the continued fraction of $n\sqrt{d}$	2021	Filip Gawron Tomasz Kobos
+	5. On the asymptotic behavior of the sine productΠ<sup>n</sup> <sub>r =1</sub> /2 sin πrα/	2020	Sigrid Grepstad Lisa Kaltenböck Mario Neumüller
+	On the order of magnitude of Sudler products II	2021	Sigrid Grepstad Mario Neumüller Agamemnon Zafeiropoulos
+	On the order of magnitude of Sudler products	2020	Christoph Aistleitner Niclas Technau Agamemnon Zafeiropoulos
+	On the growth of Sudler's sine product at the golden rotation number	2014	Paul Verschueren Ben Mestel
+	Shrinking the period lengths of continued fractions while still capturing convergents	2007	Edward B. Burger Jesse Gell‐Redman Ross Kravitz Daniel Walton Nicholas Yates
+ PDF Chat	On the order of magnitude of Sudler products	2023	Christoph Aistleitner Niclas Technau Agamemnon Zafeiropoulos
+ PDF Chat	On the distribution of Sudler products and Birkhoff sums for the irrational rotation	2024	Bence Borda
+ PDF Chat	On the asymptotic behavior of Sudler products along subsequences	2022	Mario Neumüller
+	Period-length equality for the nearest integer and nearest square continued fraction expansions of a quadratic surd	2011	Keith R. Matthews John P. Robertson
+	Growth of the Sudler product of sines at the golden rotation number	2015	Paul Verschueren Ben Mestel
+	On the asymptotic behavior of Dedekind sums	2014	Kurt Girstmair
+	On the asymptotic behavior of Dedekind sums	2014	Kurt Girstmair
+ PDF Chat	On the order of magnitude of Sudler products II	2022	Sigrid Grepstad Mario Neumüller Agamemnon Zafeiropoulos
+	On the asymptotic behaviour of Sudler products for badly approximable numbers	2023	Manuel Hauke

Works That Cite This (13)

Action	Title	Year	Authors
+ PDF Chat	On the asymptotic behavior of Sudler products along subsequences	2022	Mario Neumüller
+	A conjecture of Zagier and the value distribution of quantum modular forms	2024	Christoph Aistleitner Bence Borda
+ PDF Chat	On the order of magnitude of Sudler products	2023	Christoph Aistleitner Niclas Technau Agamemnon Zafeiropoulos
+	On the asymptotic behaviour of the sine product $\prod_{r=1}^n\|2\sin(\pi r \alpha)\|$	2019	Sigrid Grepstad Lisa Kaltenböck Mario Neumüller
+ PDF Chat	On trigonometric skew-products over irrational circle-rotations	2021	Hans Koch
+	A positive lower bound for liminf_{𝑁→∞}∏ᵣ₌₁^{𝑁}\|2sin𝜋𝑟𝜑\|	2019	Sigrid Grepstad Lisa Kaltenböck Mario Neumüller
+	Average growth of Lp norms of Erdős–Szekeres polynomials	2022	C. Billsborough Sarah Gold E. Linder D. S. Lubinsky Janson S. Yu.
+ PDF Chat	Quantum invariants of hyperbolic knots and extreme values of trigonometric products	2022	Christoph Aistleitner Bence Borda
+ PDF Chat	On extreme values for the Sudler product of quadratic irrationals	2022	Manuel Hauke
+	A positive lower bound for $\liminf_{N\to\infty} \prod_{r=1}^N \left\| 2\sin \pi r \varphi \right\|$	2018	Sigrid Grepstad Lisa Kaltenböck Mario Neumüller

Works Cited by This (12)

Action	Title	Year	Authors
+	On a product of sines	1988	G. Freiman H. Halberstam
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter
+	Growth of the Sudler product of sines at the golden rotation number	2015	Paul Verschueren Ben Mestel
+	Convergence of the Rogers-Ramanujan continued fraction	2003	Виктор Иванович Буслаев
+	On the radius of convergence of q-series	1992	G. Petruska
+	AN ESTIMATE FOR A RESTRICTED PARTITION FUNCTION	1964	Culbreth Sudler
+	Irregular distribution of {nβ}, n=1,2,3,…, quadrature of singular integrands, and curious basic hypergeometric series	1991	K. Driver D. S. Lubinsky G. Petruska Peter Sarnak
+	The Size of (q; q)nforqon the Unit Circle	1999	D. S. Lubinsky
+	An Extended Theory of Lucas' Functions	1930	D. H. Lehmer
+	On a paper of Erdös and Szekeres	2018	Jean Bourgain Mei-Chu Chang