Character sums over shifted primes

J. B. Friedlander; K. Gong; I. E. Shparlinskii

doi:10.1134/S0001434610090312

Character sums over shifted primes

J. B. Friedlander, K. Gong, I. E. Shparlinskii

School of Computing

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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+e{open} for any e{open} > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q^1+e{open}.

Original language	English
Pages (from-to)	585-598
Number of pages	14
Journal	Mathematical Notes
Volume	88
Issue number	3-4
DOIs	https://doi.org/10.1134/S0001434610090312
Publication status	Published - Oct 2010

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title = "Character sums over shifted primes",

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+e{open} for any e{open} > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q1+e{open}.",

author = "Friedlander, {J. B.} and K. Gong and Shparlinskii, {I. E.}",

year = "2010",

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T1 - Character sums over shifted primes

AU - Friedlander, J. B.

AU - Gong, K.

AU - Shparlinskii, I. E.

PY - 2010/10

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N2 - 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+e{open} for any e{open} > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q1+e{open}.

AB - 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+e{open} for any e{open} > 0. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for N ≥ q1+e{open}.

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U2 - 10.1134/S0001434610090312

DO - 10.1134/S0001434610090312

M3 - Article

AN - SCOPUS:78249234131

SN - 0001-4346

VL - 88

SP - 585

EP - 598

JO - Mathematical Notes

JF - Mathematical Notes

IS - 3-4

ER -

Character sums over shifted primes

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