A hybrid mean value related to certain Hardy sums and Kloosterman sums
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 759-769
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The main purpose of this paper is using the mean value formula of Dirichlet L-functions and the analytic methods to study a hybrid mean value problem related to certain Hardy sums and Kloosterman sums, and give some interesting mean value formulae and identities for it.
DOI :
10.1007/s10587-011-0024-z
Classification :
11L05, 11M20, 11N37
Keywords: Hardy sums; the Kloosterman sums; hybrid mean value; asymptotic formula; identity
Keywords: Hardy sums; the Kloosterman sums; hybrid mean value; asymptotic formula; identity
@article{10_1007_s10587_011_0024_z,
author = {Guo, Xiaoyan and Zhang, Wenpeng},
title = {A hybrid mean value related to certain {Hardy} sums and {Kloosterman} sums},
journal = {Czechoslovak Mathematical Journal},
pages = {759--769},
publisher = {mathdoc},
volume = {61},
number = {3},
year = {2011},
doi = {10.1007/s10587-011-0024-z},
mrnumber = {2853089},
zbl = {1249.11088},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0024-z/}
}
TY - JOUR AU - Guo, Xiaoyan AU - Zhang, Wenpeng TI - A hybrid mean value related to certain Hardy sums and Kloosterman sums JO - Czechoslovak Mathematical Journal PY - 2011 SP - 759 EP - 769 VL - 61 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0024-z/ DO - 10.1007/s10587-011-0024-z LA - en ID - 10_1007_s10587_011_0024_z ER -
%0 Journal Article %A Guo, Xiaoyan %A Zhang, Wenpeng %T A hybrid mean value related to certain Hardy sums and Kloosterman sums %J Czechoslovak Mathematical Journal %D 2011 %P 759-769 %V 61 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0024-z/ %R 10.1007/s10587-011-0024-z %G en %F 10_1007_s10587_011_0024_z
Guo, Xiaoyan; Zhang, Wenpeng. A hybrid mean value related to certain Hardy sums and Kloosterman sums. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 759-769. doi: 10.1007/s10587-011-0024-z
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