Results 111 to 120 of about 803,219 (126)

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.
openaire   +2 more sources

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
openaire   +2 more sources

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)
openaire   +1 more source

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

Acta Arithmetica, 2012
openaire   +1 more source

Modular hyperbolas and bilinear forms of Kloosterman sums

Journal of Number Theory, 2021
exaly  

Mean value of some exponential sums and applications to Kloosterman sums

Journal of Mathematical Analysis and Applications, 2010
Huaning Liu
exaly  

On classical Kloosterman sums

Cryptography and Communications, 2019
V A Zinoviev
exaly  

HYBRID MEAN VALUE OF THE GENERALIZED KLOOSTERMAN SUMS AND DIRICHLET CHARACTER OF POLYNOMIALS

Bulletin of the Korean Mathematical Society, 2013
exaly  

Bilinear forms with Kloosterman sums and applications

Annals of Mathematics, 2017
Will Sawin, Philippe Michel, Emmanuel Kowalski   +2 more
exaly