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 ≥ q8/9+ɛ for any ɛ > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q1+ɛ.
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