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Character sums over shifted primes |
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| Authors: | J. B. Friedlander K. Gong I. E. Shparlinskii |
| Affiliation: | 1. University of Toronto, Toronto, Canada 2. Henan University, Henan, P. R. China 3. Macquarie University, Sydney, Australia |
| 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+? for any ? > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q 1+? . |
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