On the distribution of squarefree numbers

H.-Q. Liu

Type: Article

Publication Date: 2015-09-04

Citations: 15

DOI: https://doi.org/10.1016/j.jnt.2015.07.013

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Journal of Number Theory - View

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Action	Title	Year	Authors
+ PDF Chat	The distribution of $k$-free numbers	2020	Michael J. Mossinghoff Tomás Oliveira e Silva Timothy S. Trudgian
+ PDF Chat	Asymptotics of the k‐free diffraction measure via discretisation	2021	Nick Rome Efthymios Sofos
+ PDF Chat	Explicit bounds for large gaps between squarefree integers	2023	Angel Kumchev Wade McCormick Nathan McNew Ariana Park Russell Scherr Willow Ziehr
+ PDF Chat	On primitive lattice points in planar domains	2003	Wenguang Zhai
+	Moments of the distribution of k$k$‐free numbers in short intervals and arithmetic progressions	2022	Ramon M. Nunes
+ PDF Chat	On the error term of an asymptotic formula of Ramanujan	2005	Helmut Maier A. Sankaranarayanan
+ PDF Chat	On sums and differences of two coprime kth powers	1999	Wenguang Zhai
+	Prime Numbers	2020	Olivier Bordellès
+ PDF Chat	Sums of two relatively prime cubes	2007	Roger C. Baker
+	Alternating sums concerning multiplicative arithmetic functions	2016	László Tóth

Works Cited by This (9)

Action	Title	Year	Authors
+	The Distribution of Squarefree Numbers	1981	S. W. Graham
+	Almost Primes in Short Intervals	1996	H.-Q. Liu
+	The Pjateckiĭ-S̆apiro prime number theorem	1983	D. R. Heath‐Brown
+	On the distribution of k-free integers	2014	H.-Q. Liu
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown
+	The distribution of k-free numbers	2009	Roger C. Baker Kevin James Powell
+	The Distribution of Square-free Numbers	1993	J. P. Chao
+ PDF Chat	On a fundamental result in van der Corput's method of estimating exponential sums	1999	Hong Liu
+ PDF Chat	The distribution of square-free numbers	1985	Roger C. Baker J. Pintz