Results 1 to 10 of about 803,219 (126)
On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums [PDF]
Mathematics, 2019 The main aim of this paper is to use the properties of the trigonometric sums and character sums, and the number of the solutions of several symmetry congruence equations to research the computational problem of a certain sixth power mean of the ...
Xinyu Liu, Wenpeng Zhang
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A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
Journal of Mathematics, 2021 In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
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Generalized Kloosterman sums and the Fourier coefficients of cusp forms [PDF]
Transactions of the American Mathematical Society, 1976 Certain generalized Kloosterman sums connected with congruence subgroups of the modular group and suitably restricted multiplier systems of half-integral degree are studied. Then a Fourier coefficient estimate is obtained for cusp forms of half-integral degree on congruence subgroups of the modular group and the Hecke groups
L. Alayne Parson
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GENERALIZED KLOOSTERMAN SUMS AND THE FOURIER COEFFICIENTS OF CUSP FORMS.
, 1973 GENERALIZED KLOOSTERMAN SUMS AND THE FOURIER COEFFICIENTS OF CUSP ...
LOUISE ALAYNE STEPHENSON. PARSON (7982624)
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Newton polygons for L -functions of generalized Kloosterman sums [PDF]
Forum Mathematicum, 2021 Abstract In the present paper, we study the Newton polygons for the L -functions of n -variable generalized Kloosterman sums. Generally, the Newton polygon has a topological lower bound, called the Hodge polygon.
Wang, Chunlin, Yang, Liping
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Generalization of the Lehmer problem over incomplete intervals
Journal of Inequalities and Applications, 2023 Let α ≥ 2 $\alpha \geq 2$ , m ≥ 2 $m\geq 2 $ be integers, p be an odd prime with p ∤ m ( m + 1 ) $p\nmid m (m+1 )$ , 0 < λ 1 $0 max { [ 1 λ 1 ] , [ 1 λ 2 ] } $q=p^{\alpha }> \max \{ [ \frac{1}{\lambda _{1}} ], [ \frac{1}{\lambda _{2}} ] \}$ .
Zhaoying Liu, Di Han
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An identity involving Dedekind sums and generalized Kloosterman sums [PDF]
Czechoslovak Mathematical Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huan, Le, Wang, Jingzhe, Wang, Tingting
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Ukrainian Mathematical Journal, 2023 UDC 511 We study a hybrid mean-value problem related to the generalized Dedekind sum, certain generalized Hardy sums, and Kloosterman sum and obtain several meaningful conclusions by means of the analytic method and the properties of the character sum and the Gauss sum.
Dağlı, Muhammet Cihat, Sever, Hamit
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An Algorithm for the explicit evaluation of GL(n, R) Kolsterman sums [PDF]
, 2009 An algorithm for the explicit evaluation of Kloosterman sums for GL(n, R) for n ≥2 and an implementation in the Mathematics package GL(n) pack are ...
Broughan, Kevin A.
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On the Generalization of Lehmer Problem and High-Dimension Kloosterman Sums [PDF]
The Scientific World Journal, 2014 For any fixed integerk≥2and integerrwithr, p=1, it is clear that there existkintegers1≤ai≤p-1 i=1, 2, …, ksuch thata1a2⋯ak≡r mod p. LetN(k,r;p)denote the number of alla1, a2, ⋯aksuch thata1a2⋯ak≡r mod pand 2†a1+a2+⋯ + ak. In this paper, we will use the analytic method and the estimate for high-dimension Kloosterman sums to study the asymptotic ...
Guohui Chen, Han Zhang
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