On a Generalisation of a Lehmer Problem

Igor Shparlinski

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On a Generalisation of a Lehmer Problem

Igor Shparlinski

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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 of sums of multiplicative characters instead of traditionally applied to this kind of problem Kloosterman sums, we improve their results in several directions.

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Igor Shparlinski. 2006-07-19. On a Generalisation of a Lehmer Problem. https://arxiv.org/abs/math/0607414

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