Results 61 to 70 of about 110 (97)
Finite Fourier Series and Cyclotomy. [PDF]
Proc Natl Acad Sci U S A, 1951 Whiteman AL.
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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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Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 511 We study a hybrid mean-value problem related to the generalized Dedekind sum, certain generalized Hardy sums, and Kloosterman sum and obtain several meaningful conclusions by means of the analytic method and the properties of the character sum and the Gauss sum.
Muhammet Cihat Dagli
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Visual Properties of Generalized Kloosterman Sums
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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An Identity Involving Dedekind Sums and Generalized Kloosterman Sums [PDF]
Czechoslovak Mathematical Journal, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingzhe Wang
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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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The Equidistribution of Elliptic Dedekind Sums and Generalized Selberg–Kloosterman Sums
Research in Number Theory14 ...
Tian An Wong
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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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