Results 91 to 100 of about 803,219 (126)
, 2015 In this paper, we construct two binary linear codes associated with multi-dimensional and m-multiple power Kloosterman sums (for any fixed m) over the finite field Fq. Here q is a power of two.
Kim, D.S.
core
The purity locus of matrix Kloosterman sums
We construct a perverse sheaf related to the the matrix exponential sums investigated by Erdélyi and Tóth [ Matrix Kloosterman sums , 2021, arXiv:2109.00762].
Sawin, Will +2 more
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Correlation-Generated Factorability in a Generic Sector of Folded Quadratic Kloosterman Sums
We isolate a factorability mechanism that appears after a $TT^*$ expansion of a folded quadratic-root Kloosterman sum. Starting from a two-variable sum with modular inverse phase and a smooth radial phase, the off-diagonal correlation for two short variables $r_1, r_2$ has a common difference $d = r_2 - r_1$.
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Visual properties of generalized Kloosterman sums [PDF]
Journal of Number Theory, 2016 For a positive integer $m$ and a subgroup $Λ$ of the unit group $(\mathbb{Z}/m\mathbb{Z})^\times$, the corresponding generalized Kloosterman sum is the function $K(a,b,m,Λ) = \sum_{u \in Λ}e(\frac{au + bu^{-1}}{m})$. Unlike classical Kloosterman sums, which are real valued, generalized Kloosterman sums display a surprising array of visual features when
Florian Luca, Stephan Ramon Garcia
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The equidistribution of elliptic Dedekind sums and generalized Selberg–Kloosterman sums [PDF]
Research in Number Theory14 ...
Tian An Wong, Kimberly Klinger-Logan
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Identities of general Kloosterman sums
International Journal of Number Theory, 2023Let [Formula: see text] be any integers with [Formula: see text], and [Formula: see text] be a Dirichlet character modulo [Formula: see text]. The general Kloosterman sums [Formula: see text] are defined as follows: [Formula: see text] where [Formula: see text], and [Formula: see text] denotes the multiplicative inverse of [Formula: see text] modulo ...
Xiaoge Liu, Tianping Zhang
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HYBRID MEAN VALUE OF GENERALIZED BERNOULLI NUMBERS, GENERAL KLOOSTERMAN SUMS AND GAUSS SUMS [PDF]
Journal of the Korean Mathematical Society, 2007 The main purpose of this paper is to use the properties of primitive characters, Gauss sums and Ramanujan’s sum to study the hybrid mean value of generalized Bernoulli numbers, general Kloosterman sums and Gauss sums, and give two asymptotic formulae.
Wenpeng Zhang, Huaning Liu
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A generalization of power moments of Kloosterman sums
Archiv der Mathematik, 2007We find an expression for a sum which can be viewed as a generalization of power moments of Kloosterman sums studied by Kloosterman and Salie.
Hi-Joon Chae, Dae San Kim
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On the General Kloosterman Sums
Journal of Mathematical Sciences, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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