Bounds of multiplicative character sums with Fermat quotients of primes

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Abstract

Given a prime p, the Fermat quotient qp(u) of u with gcd (u,p)=1 is defined by the conditions qp(u) ≡ up-1-1/p mod p, -< qp (u) ≤ p -1. We derive a new bound on multiplicative character sums with Fermat quotients qp(ℓ) at prime argumentsℓ.

Original languageEnglish
Pages (from-to)456-462
Number of pages7
JournalBulletin of the Australian Mathematical Society
Volume83
Issue number3
DOIs
Publication statusPublished - Jun 2011

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