Geodesic
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.
Classification : 11L40
Keywords: character sums; short intervals; even power mean; asymptotic formula 
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     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},
     publisher = {mathdoc},
     volume = {58},
     number = {3},
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     mrnumber = {2455928},
     zbl = {1174.11067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_3_a4/}
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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/