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One special kind of Kloosterman sum and its fourth-power mean

Open Mathematics
This article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums.
Zhang Wenpeng, Wang Li, Liu Xiaoge
doaj   +3 more sources

The Exotic Inverted Kloosterman Sum

International Mathematics Research Notices
Abstract Let $B$ be a product of finitely many finite fields containing $\mathbb{F}_{q}$, $\psi :\mathbb{F}_{q}\to \overline{\mathbb{Q}}_\ell ^{*}$ a nontrivial additive character, and $\chi : B^{*}\to \overline{\mathbb{Q}}_\ell ^{*}$ a multiplicative character.
Fu, Lei, Wan, Daqing
core   +5 more sources

An efficient deterministic test for Kloosterman sum zeros [PDF]

Mathematics of Computation, 2011
We propose a simple deterministic test for deciding whether or not a non-zero element $a \in \F_{2^n}$ or $\F_{3^n}$ is a zero of the corresponding Kloosterman sum over these fields, and analyse its complexity.
Robert Granger, Omran Ahmadi
core   +3 more sources

On sums of hyper-Kloosterman sums

Forum Mathematicum, 2023
Abstract A formula of Kuznetsov allows one to interpret a smooth sum of Kloosterman sums as a sum over the spectrum of GL ⁡ (
Buttcane, Jack
openaire   +4 more sources

Upper bound estimate of incomplete Cochrane sum

Open Mathematics, 2017
By using the properties of Kloosterman sum and Dirichlet character, an optimal upper bound estimate of incomplete Cochrane sum is given.
Ma Yuankui, Peng Wen, Zhang Tianping
doaj   +3 more sources

Kloosterman sums on orthogonal groups. [PDF]

Ramanujan J
Abstract We study Kloosterman sums on the orthogonal groups $$SO_{3,3}$$ S O 3 , 3
Mujdei C.
europepmc   +5 more sources

Oxidative Stress Induced Senescent Macrophage-Driven Squamous Cell Carcinoma Invasion via Glutamine Metabolic Reprogramming. [PDF]

Aging Cell
Oxidative stress induces GLS2‐dependent IL‐1β secretion in senescent macrophages, promoting SCC invasion through the IL‐1β/IL‐1R2 axis. Targeting IL‐1β suppresses invasion more effectively than GLS2 inhibition, highlighting a potential therapeutic strategy for SCC.
Wang S, Mu J, Zhao W, Hu C, Shi X, Zhou H, Liu J, Wu F.   +7 more
europepmc   +2 more sources

Some Identities Involving Certain Hardy Sums and General Kloosterman Sums

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 ...
Huifang Zhang, Tianping Zhang
doaj   +2 more sources

Note on the Kloosterman sum

, 1971
The Kloosterman sum \[ ∑ x = 0 ; ( x , p ) = 1 p
Kenneth S. Williams
core   +2 more sources

Neural Oscillations Track Subjective and Pupillary Arousal During Naturalistic Movie Viewing. [PDF]

Eur J Neurosci
In this study, participants watched an emotionally evocative movie while EEG, pupil size and continuous subjective arousal annotations were recorded. By extracting the mean group arousal signatures, we revealed a cross‐modal convergence (r = 0.40) between the pupillary and subjective measures.
Camenzind M, Nanni-Zepeda M, Giron AP, Dapper K, Esterman M, Frohlich F, Zuberer A.   +6 more
europepmc   +2 more sources