Geodesic
Reducing Character Sums to Kloosterman Sums
Matematičeskie zametki, Tome 88 (2010) no. 3, pp. 476-480.

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

We apply a bound for very short Kloosterman type sums, due to A. A. Karatsuba, to deduce a bound for a mean-value of short sums of Dirichlet characters.
Keywords: Kloosterman sum, primitive character, $L$-function
Mots-clés : dyadic segment, Fourier transform, Poisson formula. 
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J. B. Friedlander; H. Iwaniec. Reducing Character Sums to Kloosterman Sums. Matematičeskie zametki, Tome 88 (2010) no. 3, pp. 476-480. http://geodesic.mathdoc.fr/item/MZM_2010_88_3_a14/

[1] A. A. Karatsuba, “Analogi summ Kloostermana”, Izv. RAN. Ser. matem., 59:5 (1995), 93–102 | MR | Zbl

[2] J. B. Friedlander, H. Iwaniec, Opera de Cribro, Colloq. Pub., 57, Amer. Math. Soc., Providence, RI, 2010

[3] J. Friedlander, H. Iwaniec, “The Brun–Titchmarsh theorem”, Analytic Number Theory (Kyoto, 1996), London Math. Soc. Lecture Note Ser., 247, Cambridge Univ. Press, Cambridge, 1997, 85–93 | MR | Zbl