On the Gauss sums and generalized Bernoulli numbers

被引：0

作者：

H. Liu

J. Gao

机构：

[1] Northwest University,

[2] Xi’an Jiaotong University,undefined

来源：

Ukrainian Mathematical Journal | 2012年 / 64卷

关键词：

Asymptotic Formula; Bernoulli Polynomial; Dirichlet Character; Analytic Number Theory; Primitive Character;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using the properties of primitive characters, Gauss sums, and the Ramanujan sum, we study two hybrid mean values of Gauss sums and generalized Bernoulli numbers and give two asymptotic formulas.

引用

页码：971 / 978

页数：7

共 8 条

[1]

Yi Y(2004)On the 2 Acta Math. Sinica (English Ser.) 20 175-180

[2]

Zhang W(1958) th power mean of inversion of Abhand. Math. Semin. Univ. Hamburg 22 131-140

[3]

Leopoldt AW(2004)-functions with the weight of the Gauss sum Proc. Jpn. Acad., Ser. A, Math. Sci. 80 113-115

[4]

Liu H(2002)Eine Verallgemeinerung der Bernoullischen Zahlen J. Math. Anal. Appl. 267 89-96

[5]

Zhang W(2003)On the hybrid mean value of Gauss sums and generalized Bernoulli numbers J. Math. Anal. Appl. 288 646-659

[6]

Zhang W(undefined)On a Cochrane sum and its hybrid mean value formula undefined undefined undefined-undefined

[7]

Zhang W(undefined)A note on the Cochrane sum and its hybrid mean value formula undefined undefined undefined-undefined

[8]

Liu H(undefined)undefined undefined undefined undefined-undefined

← 1 →