Results 111 to 120 of about 146 (124)

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

Acta Mathematica Sinica, English Series, 2004
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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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Modular hyperbolas and bilinear forms of Kloosterman sums

Journal of Number Theory, 2021
I D Shkredov
exaly  

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, Zinoviev V A
exaly  

An identity involving Dedekind sums and generalized Kloosterman sums

Czechoslovak Mathematical Journal, 2013
Jingzhe Wang
exaly  

The hybrid power mean of quartic Gauss sums and Kloosterman sums

Open Mathematics, 2017
Li Xiaoxue
exaly