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Distribution of Squares Modulo a Composite Number

Name: Distribution of Squares Modulo a Composite Number
Creator: Farzad Aryan
Keywords: Mathematics - Number Theory, 0103 physical sciences, FOS: Mathematics, Number Theory (math.NT), 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 10 Mar 2015Embargo end date: 01 Jan 2015 English Publisher:Oxford University Press (OUP)Journal:International Mathematics Research Notices (issn: 1073-7928, eissn: 1687-0247,

Authors: Farzad Aryan;

doi: 10.1093/imrn/rnv061 , 10.48550/arxiv.1502.05062

arXiv: http://arxiv.org/abs/1502.05062

Distribution of Squares Modulo a Composite Number

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Abstract

In this paper we study the distribution of squares modulo a square-free number $q$. We also look at inverse questions for the large sieve in the distribution aspect and we make improvements on existing results on the distribution of $s$-tuples of reduced residues.

22 pages, to appear in IMRN

Related Organizations

University of Lethbridge
Canada

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

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