Results 11 to 20 of about 31,766 (124)
Kuznetsov Formulas for Generalized Kloosterman Sums [PDF]
Rocky Mountain Journal of Mathematics, 1997 The Kuznetsov trace formula [\textit{N. V. Kuznetsov}, Mat. Sb., Nov. Ser. 111(153), 334-383 (1980; Zbl 0427.10016)] relates a weighted sum of classical Kloosterman sums to a weighted sum of Fourier coefficients of \(GL(2)\) automorphic forms and other spectral information.
Y. Ye
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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.
L. Huan, Jingzhe Wang, Tingting Wang
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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.
M. C. Dağlı, Hamit Sever
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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums [PDF]
Acta Arithmetica, 2012 Tingting Wang
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HYBRID MEAN VALUE OF GENERALIZED BERNOULLI NUMBERS, GENERAL KLOOSTERMAN SUMS AND GAUSS SUMS [PDF]
Journal of the Korean Mathematical Society, 2007 The main purpose of this paper is to use the properties of primitive characters, Gauss sums and Ramanujan’s sum to study the hybrid mean value of generalized Bernoulli numbers, general Kloosterman sums and Gauss sums, and give two asymptotic formulae.
Huaning Liu, Wenpeng Zhang
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Symmetric power L-functions for families of generalized Kloosterman sums
Transactions of the American Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Haessig, S. Sperber
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The generalized Kloosterman's sums and its fourth power mean
AIMS Mathematics, 2023 The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties ...
Junfeng Cui, Li Wang
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A note on the fourth power mean of the generalized Kloosterman sums
Journal of Number Theory, 2017 Let \(p\) be an odd prime, and let \(\alpha\geq 2\) be an integer. Let \(\chi\) be any non-primitive character modulo \(p^{\alpha}\) satisfying \(\chi\neq \chi_0\), the principal character. Let \(n\) be an integer with \((n, p)=1\). This paper proves that \[ \mathop{\sum_{m=1}^{p^{\alpha}}}_{(m,p)=1}\left|\sum_{a=1}^{p^{\alpha}}\chi(a)e\left(\frac{ma+n\
Wenpeng Zhang, Shimeng Shen
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Families of generalized Kloosterman sums [PDF]
, 2013 36 pages, 4 ...
C. Douglas Haessig, Steven Sperber
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On the Hybrid Mean Value of Generalized Dedekind Sums, Generalized Hardy\n Sums and Kloosterman Sums [PDF]
, 2018 The main purpose of this paper is to study the hybrid mean value problem involving generalized Dedekind sums, generalized Hardy sums and Kloosterman sums, and give some exact computational formulae for them by using the properties of Gauss sums and the mean value theorem of the Dirichlet L-function.
Tian Qing
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