On a generalisation of a Lehmer problem

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Abstract

We consider a generalisation of the classical Lehmer problem about the distribution of modular inverses in arithmetic progression, introduced by E. Alkan, F. Stan and A. Zaharescu. Using bounds for multiplicative character sums instead of bounds for Kloosterman sums traditionally applied to this kind of problem, we improve their results in several directions.

Original languageEnglish
Pages (from-to)619-631
Number of pages13
JournalMathematische Zeitschrift
Volume263
Issue number3
DOIs
Publication statusPublished - Sep 2009

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