Sarnak's Conjecture for nilsequences on arbitrary number fields and applications

Wenbo Sun

Type: Preprint

Publication Date: 2019-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1902.09712

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Sarnak's Conjecture for nilsequences on arbitrary number fields and applications	2023	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
+	Spherical higher order Fourier analysis over finite fields I: equidistribution for nilsequences	2023	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
+	The quantitative behaviour of polynomial orbits on nilmanifolds	2007	Ben Green Terence Tao
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host
+	Möbius orthogonality for the Zeckendorf sum-of-digits function	2017	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+ PDF Chat	Partition regularity of homogeneous quadratics: Current trends and challenges	2024	Nikos Frantzikinakis
+	The Mobius and Nilsequences Conjecture	2008	Ben Green Terence Tao
+	Automatic sequences, generalised polynomials, and nilmanifolds.	2016	Jakub Byszewski Jakub Konieczny
+	M\"obius orthogonality for the Zeckendorf sum-of-digits function	2017	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+	On automorphic analogues of the Möbius randomness principle	2018	Yujiao Jiang Guangshi Lü
+	Number Theory and Polynomials	2008	James McKee Chris Smyth
+	Smooth numbers are orthogonal to nilsequences	2022	Lilian Matthiesen Mengdi Wang
+	A structure theorem for multiplicative functions over the Gaussian integers and applications	2014	Wenbo Sun
+	The partition rank vs. analytic rank problem for cyclic groups I. Equidistribution for periodic nilsequences	2023	James Leng
+	A Bogomolov property for the canonical height of maps with superattracting periodic points	2021	Nicole Looper

Works That Cite This (2)

Action	Title	Year	Authors
+	Additive averages of multiplicative correlation sequences and applications	2021	Sebastián Donoso Anh N. Le Joel Moreira Wenbo Sun
+	Sarnak’s Conjecture from the Ergodic Theory Point of View	2020	Joanna Kułaga-Przymus Mariusz Lemańczyk

Works Cited by This (38)

Action	Title	Year	Authors
+ PDF Chat	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+	Representations of nilpotent Lie groups and their applications	1989	Lawrence Corwin Frederick Greenleaf
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao
+ PDF Chat	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Problems in Algebraic Number Theory	1999	Jody Esmonde M. Ram Murty
+	Disjointness of Moebius from Horocycle Flows	2012	Jean Bourgain Peter Sarnak Tamar Ziegler
+	On higher order Fourier analysis	2012	Balázs Szegedy
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg
+	On the correlation of the Moebius functionwith rank-one systems	2013	Jean Bourgain
+	Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat	2013	Jean Bourgain