Results 81 to 90 of about 110 (97)

On a Problem of D. H. Lehmer and General Kloosterman Sums

Acta Mathematica Sinica, English Series, 2004
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A New Hybrid Power Mean Involving the Generalized Quadratic Gauss Sums and Sums Analogous to Kloosterman Sums

Lithuanian Mathematical Journal, 2017
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Xingxing Lv, Wenpeng Zhang
exaly   +3 more sources

Fourth Power Mean Values of Generalized Kloosterman Sums

Functiones Et Approximatio, Commentarii Mathematici
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Nilanjan Bag
exaly   +2 more sources

The generating fields of twisted Kloosterman sums

International Journal of Number Theory
We use the Kloosterman sheaves constructed by Fisher to show when two twisted Kloosterman sums differ by a factor of a [Formula: see text]th root of unity, and use p-adic analysis to prove the non-vanishing of twisted Kloosterman sums. Then, we determine generating fields of twisted Kloosterman sums by these results.
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ON THE GENERAL k-TH KLOOSTERMAN SUMS AND ITS FOURTH POWER MEAN

Chinese Annals of Mathematics, 2004
Let \(k\geq 1\) and let \(\chi\) be a character modulo \(q\). Define \[ S(m,n,k;\chi,q)= \sum^q_{a=1} \chi(a)\exp\Biggl({2\pi i\over q}(ma^k+ n\overline a^k)\Biggr), \] where \(a\overline a\equiv 1\pmod q\). In the case \(k=1\), \(\chi= \chi_0\), that is for the classical Kloosterman sum, \textit{H.
Liu, Hongyan, Zhang, Wenpeng
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General Kloosterman sums over ring of Gaussian integers

2020
?????????????????????? ???????? ?????????????????????? K(m,n;k;q) ?????? Z ?????????????? S. Kanemitsu, Y. Tanigawa, Yi. Yuan, Zhang Wenpeng ?? ???? ?????????????????????? ???????????????? D. H. Lehmer. ?? ?????? ???????????? ???????????????? ?????????????? ???????????? K(??,??;k;??) ?????? Z[i]. ?????????? ???????????????????? ???????? K??(??,??;h,q;k)
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Hybrid Mean Value of the Generalized Kloosterman Sums and Dirichlet Character of Polynomials

Bulletin of the Korean Mathematical Society, 2013
Jingzhe Wang
exaly  

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

Acta Arithmetica, 2012
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On Classical Kloosterman Sums

Cryptography and Communications, 2019
V A Zinoviev
exaly  

On Zeros of Kloosterman Sums

Designs, Codes, and Cryptography, 2011
Petr Lisonek, Marko Moisio
exaly