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

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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. 
@article{MZM_2010_88_3_a14,
     author = {J. B. Friedlander and H. Iwaniec},
     title = {Reducing {Character} {Sums} to {Kloosterman} {Sums}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {476--480},
     publisher = {mathdoc},
     volume = {88},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_3_a14/}
}
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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/