Results 81 to 90 of about 108 (105)

Some novel identities for analogues of Dedekind sums, Hurwitz zeta-function and general Kloosterman sum

Acta Mathematica Hungarica, 2022
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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 some hybrid power moments of products of generalized quadratic Gauss sums and Kloosterman sums*

Lithuanian Mathematical Journal, 2018
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Djanković, Goran, Đokić, Dragan, Lelas, Nikola, Vrećica, Ilija   +3 more
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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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On a Problem of D. H. Lehmer and General Kloosterman Sums

Acta Mathematica Sinica, English Series, 2004
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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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Classification by ordinal sums of conjunctive and disjunctive functions for explainable AI and interpretable machine learning solutions

Knowledge-Based Systems, 2021
Miroslav Hudec, Anna Saranti, Andreas Holzinger   +2 more
exaly  

Introducing SummerTime: A package for high-precision computation of sums appearing in DRA method

Computer Physics Communications, 2016
Roman N Lee, Kirill T Mingulov
exaly  

Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity

SIAM Journal on Optimization, 2006
Hayato Waki
exaly  

Bilinear forms with Kloosterman sums and applications

Annals of Mathematics, 2017
Philippe Michel, Will Sawin
exaly