On a Generalised Lehmer Problem for Arbitrary Powers

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dc.creatorShparlinski, I. E.
dc.date2008-03-25
dc.date2008-03-27
dc.date.accessioned2026-07-07T09:28:38Z
dc.date.available2026-07-07T09:28:38Z
dc.descriptionWe consider a generalisation of the classical Lehmer problem about the parity distribution of an integer and its modular inverse. We use some known estimates of exponential sums to study a more general question of simultaneous distribution of the residues of any fixed number of negative and positive powers of integers in prescribed arithmetic progressions. In particular, we improve and generalise a recent result of Y. Yi and W. Zhang.
dc.identifierhttps://arxiv.org/abs/0803.3487
dc.identifierhttp://arxiv.org/abs/0803.3487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157496
dc.subjectNumber Theory
dc.subject11A07, 11L07
dc.titleOn a Generalised Lehmer Problem for Arbitrary Powers
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