Higher uniformity of arithmetic functions in short intervals I. All intervals

Kaisa Matomäki, Xuancheng Shao, Terence Tao, Joni Teräväinen

Type: Preprint

Publication Date: 2022-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2204.03754

View Publication

Locations

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

Similar Works

Action	Title	Year	Authors
+ PDF	Higher uniformity of arithmetic functions in short intervals I. All intervals	2023	Kaisa Matomäki Xuancheng Shao Terence Tao Joni Teräväinen
+ PDF Chat	Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	2024	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+	Ergodic averages for sparse sequences along primes	2023	Andreas Koutsogiannis Konstantinos Tsinas
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+	Hardy-Littlewood Numbers in Short Intervals	1995	Alberto Perelli J. Pintz
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+ PDF Chat	The error in the prime number theorem in short intervals	2024	Ethan Simpson Lee
+ PDF Chat	A short-interval Hildebrand-Tenenbaum theorem	2024	Jacques Benatar
+	Short intervals with a given number of primes	2015	Tristan Freiberg
+	Short intervals with a given number of primes	2015	Tristan Freiberg
+ PDF	Correction to: Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Goldbach numbers in short intervals	2021	Lasse Grimmelt
+	Möbius Disjointness for Nilsequences Along Short Intervals	2019	Xiaoguang He Zhiren Wang
+ PDF Chat	A note on zero-density approaches for the difference between consecutive primes	2024	Valeriia Starichkova
+ PDF	Multiplicative functions in short intervals	2016	Kaisa Matomäki Maksym Radziwiłł
+	Short intervals with a given number of primes	2016	Tristan Freiberg
+ PDF Chat	ON WEYL SUMS OVER PRIMES IN SHORT INTERVALS	2013	Angel Kumchev
+ PDF Chat	POSITIVE PROPORTION OF SHORT INTERVALS CONTAINING A PRESCRIBED NUMBER OF PRIMES	2019	Daniele Mastrostefano

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (53)

Action	Title	Year	Authors
+ PDF	The Ternary Goldbach Problem	1985	D. R. Heath‐Brown
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+ PDF	Some problems of analytic number theory	1976	K. Ramachandra
+	A note on the Liouville function in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+ PDF Chat	Multiple recurrence and convergence for hardy sequences of polynomial growth	2010	Nikos Frantzikinakis
+	A quadratic divisor problem	1994	William Duke John Friedlander Henryk Iwaniec
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Three-dimensional exponential sums with monomials	2006	O. Robert Patrick Sargos
+ PDF Chat	High moments of the Riemann zeta-function	2001	J. Brian Conrey S. M. Gonek
+ PDF Chat	Multiple recurrence and convergence along the primes	2012	Trevor D. Wooley Tamar Ziegler