On a Generalisation of a Lehmer Problem

Details On a Generalisation of a Lehmer Problem On a Generalisation of a Lehmer Problem

2006-07-18

arxiv.org/abs/math/0607414v2

Mathematics

Number Theory

17 pages

Scientific paper

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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