Higher order Fourier analysis of multiplicative functions and applications

Nikos Frantzikinakis, Bernard Host

Type: Preprint

Publication Date: 2014-03-04

Citations: 5

Locations

arXiv (Cornell University) - View

Similar Works

Action	Title	Year	Authors
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2023	Wenbo Sun
+	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2019	Wenbo Sun
+ PDF Chat	A structure theorem for multiplicative functions over the Gaussian integers and applications	2018	Wenbo Sun
+	A structure theorem for multiplicative functions over the Gaussian integers and applications	2014	Wenbo Sun
+ PDF Chat	Convergence Results for Systems of Linear Forms on Cyclic Groups and Periodic Nilsequences	2014	Pablo Candela Olof Sisask
+	Convergence results for systems of linear forms on cyclic groups, and periodic nilsequences	2012	Pablo Candela Olof Sisask
+	Convergence results for systems of linear forms on cyclic groups, and periodic nilsequences	2012	Pablo Candela Olof Sisask
+	Higher order Fourier analysis of multiplicative functions and appliactions	2017	Nikos Frantzikinakis Bernard Host
+ PDF Chat	Generalized Fourier coefficients of multiplicative functions	2018	Lilian Matthiesen
+	Topics in analytic and combinatorial number theory	2018	Aled Walker
+	Uniformity of multiplicative functions and partition regularity of some quadratic equations	2013	Nikos Frantzikinakis Bernard Host
+	Topics in additive combinatorics and higher order Fourier analysis	2020	Diego González Sánchez
+	On superorthogonality	2020	Lillian B. Pierce
+	Quantitative inverse theory of Gowers uniformity norms	2020	Thomas F. Bloom
+ PDF Chat	Higher-order Fourier Analysis and Applications	2019	Hamed Hatami Pooya Hatami Shachar Lovett
+	Quantitative inverse theory of Gowers uniformity norms	2020	Thomas F. Bloom
+	Applications of multiplicative number theory to uniform distribution and ergodic Ramsey theory	2017	Vitaly Bergelson Joanna Kułaga-Przymus Mariusz Lemańczyk F. K. Richter
+ PDF Chat	Partition regularity of homogeneous quadratics: Current trends and challenges	2024	Nikos Frantzikinakis

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	Ergodicity of the Liouville system implies the Chowla conjecture	2018	Nikos Frantzikinakis
+	A structure theorem for multiplicative functions over the Gaussian integers and applications	2014	Wenbo Sun
+	A transference approach to a Roth-type theorem in the squares	2015	T. D. Browning Sean Prendiville
+ PDF Chat	Gowers norms of multiplicative functions in progressions on average	2017	Xuancheng Shao
+ PDF Chat	Oscillating sequences, MMA and MMLS flows and Sarnak’s conjecture	2017	Aihua Fan Yunping Jiang

Works Cited by This (46)

Action	Title	Year	Authors
+	Old and new problems and results in combinatorial number theory	1980	P. Erdős Ronald Graham
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao
+ PDF Chat	Quadratic uniformity of the Möbius function	2008	Ben Green Terence Tao
+	On higher order Fourier analysis	2012	Balázs Szegedy
+	Root numbers and the parity problem	2003	H. A. Helfgott
+ PDF Chat	Additive equations in dense variables via truncated restriction estimates	2017	Kevin Henriot
+ PDF Chat	Exponential sums with multiplicative coefficients	1977	Hugh L. Montgomery R. C. Vaughan
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg