A structure theorem for multiplicative functions over the Gaussian integers and applications

Wenbo Sun

Type: Preprint

Publication Date: 2014-01-01

Citations: 1

DOI: https://doi.org/10.48550/arxiv.1405.0241

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A structure theorem for multiplicative functions over the Gaussian integers and applications	2018	Wenbo Sun
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Uniformity of multiplicative functions and partition regularity of some quadratic equations	2013	Nikos Frantzikinakis Bernard Host
+	Multiplicative functions over the Gaussian integers with regularity properties	1986	И. Катаи Mustafa A. Amer
+ PDF Chat	Partition regularity of homogeneous quadratics: Current trends and challenges	2024	Nikos Frantzikinakis
+ PDF Chat	Partition regularity of generalized Pythagorean pairs	2024	Nikos Frantzikinakis Oleksiy Klurman Joel Moreira
+	Multiplicative functions over the Gaussian integers. III	1990	И. Катаи Mustafa A. Amer
+	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2019	Wenbo Sun
+ PDF Chat	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2023	Wenbo Sun
+	Multiplicative functions over the Gaussian integers. II	1986	И. Катаи Mustafa A. Amer
+	Additive functions on the Gaussian integers	2022	Marijke van Rossum-Wijsmuller
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host
+	Gaussian integers	2017	Lisl Gaal
+	Quadratic phenomena in additive combinatorics and number theory	2019	Sofia Lindqvist
+	Rado's criterion over squares and higher powers	2018	Sam Chow Sofia Lindqvist Sean Prendiville
+ PDF Chat	On a certain additive function on the Gaussian integers	1989	Piotr Zarzycki
+	Multiplicative Functions	2003	Svetoslav Savchev Titu Andreescu
+	Fourier optimization and quadratic forms	2020	Andrés Chirre Oscar E. Quesada-Herrera
+	Fourier optimization and quadratic forms	2020	Andrés Chirre Oscar E. Quesada-Herrera

Works That Cite This (2)

Action	Title	Year	Authors
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host

Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	Algebraic Number Theory	1999	Jürgen Neukirch
+	Higher order Fourier analysis of multiplicative functions and applications	2014	Nikos Frantzikinakis Bernard Host
+	Uniformity of multiplicative functions and partition regularity of some quadratic equations	2013	Nikos Frantzikinakis Bernard Host
+	On higher order Fourier analysis	2012	Balázs Szegedy
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg
+ PDF Chat	A Quantitative Ergodic Theory Proof of Szemerédi's Theorem	2006	Terence Tao
+ PDF Chat	Linear equations in primes	2010	Ben Green Terence Tao
+ PDF Chat	Studien zur Kombinatorik	1933	Richard Rado
+	On the Number of Monochromatic Solutions of x + y =z 2	2006	AYMAN KHALFALAH Endre Szemerédi