Results 11 to 20 of about 63 (48)
On the identity involving certain Hardy sums and Kloosterman sums
Journal of Inequalities and Applications, 2014 The main purpose of this paper is, using the properties of Gauss sums and the mean value theorem of Dirichlet L-functions, to study a hybrid mean value problem involving certain Hardy sums and Kloosterman sums and give two exact computational formulae ...
Han Zhang, Wenpeng Zhang
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An identity involving certain Hardy sums and Ramanujan’s sum
Advances in Differential Equations, 2013 The main purpose of this paper is using the properties of Gauss sums and the mean value theorem of the Dirichlet L-functions to study one kind of a hybrid mean value problem involving certain Hardy sums and Ramanujan’s sum and to give an exact ...
Weiqiong Wang, Di Han
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A new sum analogous to quadratic Gauss sums and its 2k th power mean
Journal of Inequalities and Applications, 2014 The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of a new sum analogous to quadratic Gauss sums, and to give an interesting asymptotic formula for its 2k th power mean.MSC ...
Xiancun Du, Xiaoxue Li
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A sum analogous to the high-dimensional Kloosterman sums and its upper bound estimate
Journal of Inequalities and Applications, 2013 The main purpose of this paper is, using the properties of Gauss sums and the estimate for the generalized exponential sums, to study the upper bound estimate problem of one kind sums analogous to the high-dimensional Kloosterman sums and to give some ...
Yijun Li, Di Han
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, 2006 Acta Arith. 127(2007), no. 4, 337–363. arXiv:math/0603462v3 [math.NT] 30 Apr 2007 ON FLECK QUOTIENTS Zhi-Wei Sun 1 (Nanjing) and Daqing Wan 2 (Irvine, CA) Department of Mathematics, Nanjing University Nanjing 210093, People’s Republic of China zwsun@nju ...
Zhi-Wei Sun, D. Wan
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Retracted Article: On the fourth power mean of the two-term exponential sums
Journal of Inequalities and Applications, 2014 The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind of fourth power mean of two-term exponential sums, and to give an interesting identity and asymptotic formula for
Minhui Zhu, Di Han
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Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
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IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES
Forum of Mathematics, Pi, 2019 We prove an upper bound on the log canonical threshold of a hypersurface that satisfies a certain power condition and use it to prove several generalizations of Igusa’s conjecture on exponential sums, with the log canonical threshold in the exponent of ...
RAF CLUCKERS +2 more
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On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
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On the generalized exponential sums and their fourth power mean
Open MathematicsThe main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Liu Wencong, Ning Shushu
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