Results 21 to 30 of about 8,534 (180)

Exponential Function Analogue of Kloosterman Sums [PDF]

Rocky Mountain Journal of Mathematics, 2004
Let \(p\) be a prime, and let \(t\) be a divisor of \(p-1\). Further let \(\mathbb{Z}^*_t\) be the subset of \(\{0,\dots, t-1\}\) consisting of \(\varphi(t)\) invertible elements, where \(\varphi(t)\) is the Euler function. For any integers \(a\) and \(b\) with \(0\leq a\), \(b\leq p-1\), let \(K_g(a,b)= \sum_{x\in\mathbb{Z}^*_t} e(ag^x+ bg^{x^{-1}})\),
Igor E. Shparlinski
openalex   +3 more sources

Kloosterman sums with multiplicative coefficients [PDF]

Science China Mathematics, 2015
In this version we make some ...
Gong, Ke, Jia, Chaohua
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Short Kloosterman sums to powerful modulus

, 2016
We obtain the estimate of incomplete Kloosterman sum to powerful modulus $q$.
Korolev, Maxim A.
core   +1 more source

Legendre sums, Soto–Andrade sums and Kloosterman sums [PDF]

Pacific Journal of Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the sum of matrices of special linear group over finite field

AIMS Mathematics
Let $ \mathbb{F}_q $ be a finite field of $ q $ elements. For $ n\in\mathbb{N}^* $ with $ n\ge2, $ let $ M_{n}: = Mat_n(\mathbb{F}_q) $ be the ring of matrices of order $ n $ over $ \mathbb{F}_q, $ $ G_{n, 1}: = Sl_n(\mathbb{F}_q) $ be the special ...
Yifan Luo, Qingzhong Ji
doaj   +1 more source

Hybrid Level Aspect Subconvexity for $GL(2)\times GL(1)$ Rankin-Selberg $L$-Functions

, 2018
Let $M$ be a squarefree positive integer and $P$ a prime number coprime to $M$ such that $P\sim M^\eta$ with $0 < \eta < 2/5$. We simplify the proof of subconvexity bounds for $L(\frac{1}{2},f\otimes\chi)$ when $f$ is a primitive holomorphic cusp form of
Aggarwal, Keshav, Jo, Yeongseong, Nowland, Kevin   +2 more
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Double sums of Kloosterman sums in finite fields [PDF]

Finite Fields and Their Applications, 2019
We bound double sums of Kloosterman sums over a finite field ${\mathbb F}_{q}$, with one or both parameters ranging over an affine space over its prime subfield ${\mathbb F}_p \subseteq {\mathbb F}_{q} $. These are finite fields analogues of a series of recent results by various authors in finite fields and residue rings.
Macourt, Simon, Shparlinski, Igor E.
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Stroke and motor outcomes are associated with regional and age‐specific changes in periodic and aperiodic cortical activity

Experimental Physiology, EarlyView.
Abstract Historically, stroke and ageing have been associated with changes in narrow‐band periodic neuronal activity, but recent work has highlighted the importance of broad‐band aperiodic activity. Aperiodic activity is represented by the 1/f slope of power spectral density generated by cortical activity.
Asher J. Albertson, Eric C. Landsness, Margaret Eisfelder, Brittany M. Young, Bradley Judge, Matthew R. Brier, Matthew J. Euler, Steven C. Cramer, Jin‐Moo Lee, Keith R. Lohse   +9 more
wiley   +1 more source

On some kloosterman sums

manuscripta mathematica, 1991
Let \({\mathbb{F}}_ q\) be the finite field with q elements, V be a finite- dimensional vector space over \({\mathbb{F}}_ q\), dim V\(=n\), \(L_ 1\), \(L_ 2\) linear forms and Q a quadratic form on V. The author proves an upper bound for the Kloosterman sum \[ K(L_ 1,L_ 2;Q):=\sum_{Q(v)\neq 0}\chi ((L_ 1(v)+L_ 2(v)(Q(v))^{-1}), \] where \(\chi\) is a ...
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Symplectic Kloosterman sums and Poincaré series [PDF]

The Ramanujan Journal, 2021
AbstractWe prove power-saving bounds for general Kloosterman sums on $${\text {Sp}}(4)$$ Sp ( 4 ) associated to all Weyl elements via a stratification argument coupled with p-adic stationary phase methods.
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