Geodesic
Character Sums over Shifted Primes
Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 605-619

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : Legendre formula. 
@article{MZM_2010_88_4_a11,
     author = {J. B. Friedlander and K. Gong and I. E. Shparlinski},
     title = {Character {Sums} over {Shifted} {Primes}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {605--619},
     publisher = {mathdoc},
     volume = {88},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a11/}
}
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J. B. Friedlander; K. Gong; I. E. Shparlinski. Character Sums over Shifted Primes. Matematičeskie zametki, Tome 88 (2010) no. 4, pp. 605-619. http://geodesic.mathdoc.fr/item/MZM_2010_88_4_a11/