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. © 2014 Springer Basel.

Character sums over squarefree and squarefull numbers

Munsch M.
2014-01-01

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. © 2014 Springer Basel.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/1091990
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