Character sums over shifted primes

Author: Friedlander J.  

Publisher: MAIK Nauka/Interperiodica

ISSN: 0001-4346

Source: Academy of Sciences of the USSR Mathematical Notes, Vol.88, Iss.3-4, 2010-10, pp. : 585-598

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Abstract

We obtain a new bound for sums of a multiplicative character modulo an integer q at shifted primes p + a over primes p ≤ N. Our bound is nontrivial starting with N ≥ q 8/9+ɛ for any ɛ > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q 1+ɛ .