On the distribution of squarefree integers in arithmetic progressions

Pierre Le Boudec

Type: Article

Publication Date: 2018-02-09

Citations: 6

DOI: https://doi.org/10.1007/s00209-017-2023-8

View Publication

Download PDF

Locations

Mathematische Zeitschrift - View
arXiv (Cornell University) - PDF

Similar Works

Action	Title	Year	Authors
+	On the distribution of squarefree integers in arithmetic progressions	2014	Pierre Le Boudec
+ PDF Chat	On the variance of squarefree integers in short intervals and arithmetic progressions	2021	Ofir Gorodetsky Kaisa Matomäki Maksym Radziwiłł Brad Rodgers
+	On the distribution of square-free numbers in arithmetic progressions	2014	Ramon M. Nunes
+	Square-free numbers in arithmetic progressions	2014	Ramon M. Nunes
+	Square-free numbers in arithmetic progressions	2014	Ramon M. Nunes
+	Squarefree numbers in arithmetic progressions	2015	Ramon M. Nunes
+	On two conjectures concerning squarefree numbers in arithmetic progressions	2015	Ramon M. Nunes
+	On two conjectures concerning squarefree numbers in arithmetic progressions	2015	Ramon M. Nunes
+	On the distribution of square-full integers	2021	Dan Wang
+	On the distribution of square-full integers	1997	Cai Yingchun
+	On the distribution of square-full integers	2001	Jie Wu
+	The distribution of squarefree integers in small intervals	1954	Richard Bellman Harold N. Shapiro
+	On the distribution of square-full numbers in arithmetic progressions	2013	Huaning Liu Ting Zhang
+	Equidistribution problems of squarefree numbers	2015	Ramon M. Nunes
+ PDF Chat	Arithmetic Progressions, Prime Numbers, and Squarefree Integers	2004	Stuart Clary J. Fabrykowski
+	On the distribution of $\alpha n + \beta$ modulo 1 over some arithmetic set	2017	Kam Hung Yau
+	The distribution of square-full integers	1994	Xiaodong Cao
+ PDF Chat	The distribution of square-full integers	1973	D. Suryanarayana R. Sita Rama Chandra Rao
+ PDF Chat	The distribution of square-full integers	1994	H. -Q. Liu
+	On arithmetic progressions in sums of sets of integers	2012	Jean Bourgain

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	Moments of moments of primes in arithmetic progressions	2023	Régis de la Bretèche Daniel Fiorilli
+	Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions	2022	Ramon M. Nunes
+	Moments of the distribution of $k$-free numbers in short intervals and arithmetic progressions	2020	Ramon M. Nunes
+ PDF Chat	A variance for k-free numbers in arithmetic progressions of given modulus	2021	Tomos Parry
+ PDF Chat	On the variance of squarefree integers in short intervals and arithmetic progressions	2021	Ofir Gorodetsky Kaisa Matomäki Maksym Radziwiłł Brad Rodgers
+	THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS	2019	Guangwei Hu Yujiao Jiang Guangshi Lü

Works Cited by This (8)

Action	Title	Year	Authors
+	Diophantine approximation with square-free numbers	1984	D. R. Heath‐Brown
+	THE AVERAGE VALUE OF DIVISOR SUMS IN ARITHMETIC PROGRESSIONS	2007	Valentin Blomer
+	Squarefree numbers in arithmetic progressions	2015	Ramon M. Nunes
+	Square-Free Numbers in Arithmetic Progressions	1975	Michael Croft
+	A Note on Square‐Free Numbers in Arithmetic Progressions	1975	C. Hooley
+	Limitations to the Equi-Distribution of Primes I	1989	John Friedlander Andrew Granville
+ PDF Chat	Affine congruences and rational points on a certain cubic surface	2014	Pierre Le Boudec
+	Problems concerning prime numbers (Hilbert’s problem 8)	1976	Hugh L. Montgomery