On Furstenberg systems of aperiodic multiplicative functions of Matomäki, Radziwiłł, and Tao

Aleksander Gomilko, Mariusz Lemańczyk, Thierry de la Rue

Type: Article

Publication Date: 2021-01-01

Citations: 4

DOI: https://doi.org/10.3934/jmd.2021018

Abstract

<p style='text-indent:20px;'>It is shown that in a class of counterexamples to Elliott's conjecture by Matomäki, Radziwiłł, and Tao [<xref ref-type="bibr" rid="b23">23</xref>] the Chowla conjecture holds along a subsequence.</p>

Locations

HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
arXiv (Cornell University) - View - PDF
Journal of Modern Dynamics - View - PDF

Similar Works

Action	Title	Year	Authors
+	On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and Tao	2020	Aleksander Gomilko Mariusz Lemańczyk Thierry de la Rue
+	On Furstenberg systems of aperiodic multiplicative functions of Matomaki, Radziwill and Tao	2020	Aleksander Gomilko Mariusz Lemańczyk Thierry de la Rue
+	Lattice points counting and bounds on periods of Maass forms	2018	André Reznikov Feng Su
+	Mathematics of Aperiodic Order	2015	Johannes Kellendonk Daniel Lenz Jean Savinien
+	Interpolated Apéry numbers, quasiperiods of modular forms, and motivic gamma functions	2021	Vasily Golyshev Don Zagier
+	Lacunary series with respect to periodic multiplicative systems	1989	S. V. Levizov
+ PDF Chat	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2023	Wenbo Sun
+	None	2001	Paul Mezo
+	On automorphic analogues of the Möbius randomness principle	2018	Yujiao Jiang Guangshi Lü
+	A Note on Apery Numbers	1984	Derek Chang
+	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2019	Wenbo Sun
+	Automata and transcendence of the Tate period in finite characteristic	1999	Jean‐Paul Allouche Dinesh S. Thakur
+ PDF Chat	Generalizations of Furstenberg’s Diophantine result	2016	Asaf Katz
+	Theta block conjecture for paramodular forms of weight 2	2019	Valery Gritsenko Haowu Wang
+	Möbius randomness law for 𝐺𝐿(𝑚) automorphic 𝐿-functions twisted by additive characters	2022	Yujiao Jiang Guangshi Lü Zihao Wang
+	On a conjecture of Kimoto and Wakayama	2016	Линг Лонг Robert Osburn Holly Swisher
+	Furstenberg systems of pretentious and MRT multiplicative functions	2025	Nikos Frantzikinakis Mariusz Lemańczyk Thierry de la Rue
+ PDF Chat	Strong orthogonality between the Möbius function, additive characters and Fourier coefficients of cusp forms	2014	Étienne Fouvry Satadal Ganguly
+	Furstenberg systems of pretentious and MRT multiplicative functions	2023	Nikos Frantzikinakis Mariusz Lemańczyk Thierry de la Rue
+	Theta block conjecture for Siegel paramodular forms	2019	Haowu Wang

Works That Cite This (3)

Action	Title	Year	Authors
+ PDF Chat	On arithmetic functions orthogonal to deterministic sequences	2023	Adam Kanigowski Joanna Kułaga-Przymus Mariusz Lemańczyk Thierry de la Rue
+ PDF Chat	Furstenberg systems of Hardy field sequences and applications	2022	Nikos Frantzikinakis
+	Furstenberg systems of pretentious and MRT multiplicative functions	2025	Nikos Frantzikinakis Mariusz Lemańczyk Thierry de la Rue

Works Cited by This (22)

Action	Title	Year	Authors
+	Ergodic Theory via Joinings	2003	Eli Glasner
+ PDF Chat	Ergodic Theory on Compact Spaces	1976	Manfred Denker Christian Grillenberger Karl Sigmund
+	Minimal Dynamical Systems with Quasi-Discrete Spectrum	1965	F. Hahn William Parry
+	Strong stationarity and de Finetti’s theorem	1997	E. Jenvey
+	On the correlation of multiplicative and the sum of additive arithmetic functions	1994	P. D. T. A. Elliott
+ PDF Chat	A Dynamical Point of View on the Set of<i>ℬ</i>-Free Integers	2014	El Houcein El Abdalaoui Mariusz Lemańczyk Thierry de la Rue
+	Multiplicative Functions \| g\| ≤ 1 and their Convolutions: An Overview	1990	P. D. T. A. Elliott
+	The Riemann Hypothesis and Hilbert's Tenth Problem.	1966	L. Carlitz S. Chowla
+	Strict Ergodicity and Transformation of the Torus	1961	Hillel Fürstenberg
+ PDF Chat	Linear correlations of multiplicative functions	2020	Lilian Matthiesen