A hybrid mean value formula involving Kloosterman sums and Hurwitz zeta-function

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.06.104 ◽

2007 ◽

Vol 330 (2) ◽

pp. 1307-1316

Author(s):

Ren Ganglian

Keyword(s):

Zeta Function ◽

Kloosterman Sums ◽

Hurwitz Zeta Function ◽

Hybrid Mean Value ◽

Mean Value Formula

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On the hybrid mean value of Dedekind sums and Hurwitz zeta-function

Acta Arithmetica ◽

10.4064/aa-92-2-141-152 ◽

2000 ◽

Vol 92 (2) ◽

pp. 141-152 ◽

Author(s):

Wenpeng Zhang

Keyword(s):

Zeta Function ◽

Hurwitz Zeta Function ◽

Dedekind Sums ◽

Hybrid Mean Value

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A Hybrid Mean Value Formula of Dedekind Sums and Hurwitz Zeta-Functions

Analytic Number Theory - Developments in Mathematics ◽

10.1007/978-1-4757-3621-2_23 ◽

2002 ◽

pp. 395-408

Author(s):

Wenpeng Zhang

Keyword(s):

Zeta Functions ◽

Dedekind Sums ◽

Hybrid Mean Value ◽

Mean Value Formula

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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums

Acta Arithmetica ◽

10.4064/aa153-2-4 ◽

2012 ◽

Vol 153 (2) ◽

pp. 191-197 ◽

Author(s):

Tingting Wang

Keyword(s):

Kloosterman Sums ◽

Hybrid Mean Value

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An hybrid mean value of quadratic Gauss sums and a sum analogous to Kloosterman sums

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-129 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Xiaowei Pan ◽

Han Zhang

Keyword(s):

Kloosterman Sums ◽

Hybrid Mean Value

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On a Cochrane sum and its hybrid mean value formula (II)

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00501-2 ◽

2002 ◽

Vol 276 (1) ◽

pp. 446-457 ◽

Author(s):

Wenpeng Zhang

Keyword(s):

Hybrid Mean Value ◽

Mean Value Formula ◽

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A hybrid mean value related to the Dedekind sums and Kloosterman sums

Acta Mathematica Sinica English Series ◽

10.1007/s10114-010-9192-2 ◽

2010 ◽

Vol 27 (3) ◽

pp. 435-440

Author(s):

Yan Ni Liu ◽

Wen Peng Zhang

Keyword(s):

Kloosterman Sums ◽

Dedekind Sums ◽

Hybrid Mean Value

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A hybrid mean value of Dedekind sums and Kloosterman sums

Journal of Number Theory ◽

10.1016/j.jnt.2014.01.017 ◽

2015 ◽

Vol 147 ◽

pp. 861-870 ◽

Author(s):

Wenpeng Zhang ◽

Di Han

Keyword(s):

Kloosterman Sums ◽

Dedekind Sums ◽

Hybrid Mean Value

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A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums*

Lithuanian Mathematical Journal ◽

10.1007/s10986-016-9309-0 ◽

2016 ◽

Vol 56 (1) ◽

pp. 127-132

Author(s):

Wenpeng Zhang

Keyword(s):

Kloosterman Sums ◽

Hybrid Mean Value

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On a Generalized Cochrane Sum and Its Hybrid Mean Value Formula

The Ramanujan Journal ◽

10.1007/s11139-005-1874-5 ◽

2005 ◽

Vol 9 (3) ◽

pp. 373-380 ◽

Author(s):

Liu Hongyan ◽

Zhang Wenpeng

Keyword(s):

Hybrid Mean Value ◽

Mean Value Formula ◽

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A hybrid mean value involving a new sum and Kloosterman sums

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-44 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Xiaohan Wang ◽

Xiaoxue Li

Keyword(s):

Kloosterman Sums ◽

Hybrid Mean Value

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