On the mean value of a sum analogous to character sums over short intervals
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 651-668
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The main purpose of this paper is to study the mean value properties of a sum analogous to character sums over short intervals by using the mean value theorems for the Dirichlet L-functions, and to give some interesting asymptotic formulae.
The main purpose of this paper is to study the mean value properties of a sum analogous to character sums over short intervals by using the mean value theorems for the Dirichlet L-functions, and to give some interesting asymptotic formulae.
Classification :
11L40
Keywords: character sums; short intervals; even power mean; asymptotic formula
Keywords: character sums; short intervals; even power mean; asymptotic formula
@article{CMJ_2008_58_3_a4,
author = {Ganglian, Ren and Wenpeng, Zhang},
title = {On the mean value of a sum analogous to character sums over short intervals},
journal = {Czechoslovak Mathematical Journal},
pages = {651--668},
year = {2008},
volume = {58},
number = {3},
mrnumber = {2455928},
zbl = {1174.11067},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a4/}
}
TY - JOUR AU - Ganglian, Ren AU - Wenpeng, Zhang TI - On the mean value of a sum analogous to character sums over short intervals JO - Czechoslovak Mathematical Journal PY - 2008 SP - 651 EP - 668 VL - 58 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a4/ LA - en ID - CMJ_2008_58_3_a4 ER -
Ganglian, Ren; Wenpeng, Zhang. On the mean value of a sum analogous to character sums over short intervals. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 651-668. http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a4/