Character sums over squarefree and squarefull numbers

Marc Munsch

doi:10.1007/s00013-014-0658-9

Character sums over squarefree and squarefull numbers

Marc Munsch^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We give upper bounds for character sums over squarefree and squarefull numbers sharper than the prior known in the literature. As an application, we study the distribution of squarefull numbers in arithmetic progressions and sharpen (without restriction on the modulus) the recent results obtained by Liu and Zhang.

Original language	English
Pages (from-to)	555-563
Number of pages	9
Journal	Archiv der Mathematik
Volume	102
Issue number	6
DOIs	https://doi.org/10.1007/s00013-014-0658-9
Publication status	Published - 1 Jan 2014
Externally published	Yes

Keywords

Arithmetic progressions
Character sums
Squarefree numbers

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00013-014-0658-9

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Character sums over squarefree and squarefull numbers

Abstract

Keywords

ASJC Scopus subject areas

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