Results 11 to 20 of about 110 (97)
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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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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On the fourth power mean of the general k th Kloosterman sums [PDF]
Advances in Difference Equations, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Xiaoyan, Geng, Guohua, Pan, Xiaowei
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Some Identities Involving Certain Hardy Sums and General Kloosterman Sums [PDF]
Mathematics, 2020 Using the properties of Gauss sums, the orthogonality relation of character sum and the mean value of Dirichlet L-function, we obtain some exact computational formulas for the hybrid mean value involving general Kloosterman sums K ( r , l , λ ; p ) and certain Hardy sums S 1 ( h , q ) ∑ m = 1 p − 1 ∑ s = 1 p
Zhang, Huifang, Zhang, Tianping
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Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020 We prove non-trivial bounds for bilinear forms with hyper-Kloosterman sums with characters modulo a prime $q$ which, for both variables of length $M$, are non-trivial as soon as $M\geq q^{3/8+δ}$ for any $δ>0$. This range, which matches Burgess's range, is identical with the best results previously known only for simpler exponentials of monomials ...
Kowalski, Emmanuel +2 more
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A note on the mean value of the general Kloosterman sums [PDF]
Czechoslovak Mathematical Journal, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New identities involving Hardy sums $S_3(h,k)$ and general Kloosterman sums
AIMS Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenjia Guo, Yuankui Ma, Tianping Zhang
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Generalized Twisted Kloosterman Sum Over ℤ[i] [PDF]
Ukrainian Mathematical Journal, 2014 The twisted Kloosterman sums over Z were studied by V. Bykovsky, A.Vinogradov, N. Kuznetsov, R. W. Bruggeman, R. J. Miatello, I. Pacharoni, A. Knightly, and C. Li. In our paper, we obtain similar estimates for K χ (α, β; γ; q) over ℤ[i] and improve the estimates obtained for the sums of this kind with ...
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Families of generalized Kloosterman sums
, 2013 36 pages, 4 ...
Haessig, C. Douglas, Sperber, Steven
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Kuznetsov Formulas for Generalized Kloosterman Sums
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.
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