Results 31 to 40 of about 884,151 (313)
Note on the quadratic Gauss sums
International Journal of Mathematics and Mathematical Sciences, 2001 Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
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On the structure of quadratic Gauss sums in the Talbot effect. [PDF]
Journal of The Optical Society of America A-optics Image Science and Vision, 2016 We report on the detailed derivation of the Gauss sums leading to the weighting phase factors in the fractional Talbot effect. In contrast to previous approaches, the derivation is directly based on the two coprime integers p and q that define the ...
C. Fernández-Pousa
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Identities on quadratic Gauss sums [PDF]
Transactions of the American Mathematical Society, 1990 Given a local field F F , each multiplicative character θ \theta of the split algebra F × F F \times F or of a separable quadratic extension of F F has an associated generalized Gauss sum γ θ F \gamma _\theta ^F .
Paul Gerardin, Wen-Ch' Ing Winnie Li
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AIMS Mathematics, 2021 We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo p, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some ...
Wenpeng Zhang , Jiafan Zhang
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Exponential transform of quadratic functional and multiplicative ergodicity of a Gauss-Markov process [PDF]
, 2013 The Laplace transform of partial sums of the square of a non-centered Gauss-Markov process, conditioning on its starting point, is explicitly computed.
Breton, Alain Le +2 more
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Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x) [PDF]
, 2012 We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer.
Miller, A. R., Paris, Richard B.
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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean
Mathematics, 2019 In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two ...
Shimeng Shen, Wenpeng Zhang
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On Tractable Exponential Sums [PDF]
, 2010 We consider the problem of evaluating certain exponential sums. These sums take the form $\sum_{x_1,...,x_n \in Z_N} e^{f(x_1,...,x_n) {2 \pi i / N}} $, where each x_i is summed over a ring Z_N, and f(x_1,...,x_n) is a multivariate polynomial with ...
A. Bulatov +10 more
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On refined metric and hermitian structures in arithmetic, I : Galois–Gauss sums and weak ramification [PDF]
Annals of K-theory, 2018 We use techniques of relative algebraic K-theory to develop a common refinement of the existing theories of metrized and hermitian Galois structures in arithmetic.
W. Bley, D. Burns, Carl Hahn
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