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Matematicheskie Zametki, 2010, Volume 88, Issue 4, Pages 605–619
DOI: https://doi.org/10.4213/mzm8692 (Mi mzm8692) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Character Sums over Shifted Primes

J. B. Friedlandera, K. Gongb, I. E. Shparlinskic

a University of Toronto
b Henan University
c Macquarie University
Full-text PDF (538 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm8692
Abstract: We obtain a new bound for sums of a multiplicative character modulo an integer $q$ at shifted primes $p+a$ over primes $p\le N$. Our bound is nontrivial starting with $N\ge q^{8/9+\varepsilon}$ for any $\varepsilon>0$. This extends the range of the bound of Z. Kh. Rakhmonov that is nontrivial for $N\ge q^{1+\varepsilon}$.
Keywords: nonprincipal character, von Mangoldt function, primitive character, Euler function, sieve of Eratosthenes, Möbius function, Legendre formula.
Received: 29.11.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 4, Pages 585–598
DOI: https://doi.org/10.1134/S0001434610090312
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: J. B. Friedlander, K. Gong, I. E. Shparlinski, “Character Sums over Shifted Primes”, Mat. Zametki, 88:4 (2010), 605–619; Math. Notes, 88:4 (2010), 585–598
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
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