Results 71 to 80 of about 58,161 (160)
Generalized quadratic Gauss sums and their 2mth power mean
Open MathematicsAbstract The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth power mean. Thus, a new simple proof of this existing result [N.
Cui, Dewang, Zhang, Wenpeng
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ON THE GENERAL QUADRATIC GAUSS SUMS WEIGHTED BY CHARACTER SUMS OVER A SHORT INTERVAL [PDF]
Bulletin of the Korean Mathematical Society, 2013 Abstract. By using the analytic methods, the mean value of the generalquadratic Gauss sums weighted by the first power mean of character sumsover a short interval is investigated. Several sharp asymptotic formulaeare obtained, which show that these sums enjoy good distributive prop-erties. Moreover, interesting connections among them are established. 1.
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Numerical Parameter‐Space Studies of Various Types of Thundercloud Gamma‐Ray Emissions
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 5, 16 March 2026.Abstract Until recently, mainly two types of hard radiation were observed in thunderstorms: intensive, short‐lived terrestrial gamma‐ray flashes (TGFs) and weak, long‐lasting gamma‐ray glows (GRGs). The Airborne Lightning Observatory for Fly's Eye GLM Simulator and TGFs (ALOFT, GLM: Geostationary Lightning Mapper) flight campaign revealed additional ...
Ø. Færder +6 more
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On a rigidity property for quadratic gauss sums
MathematikaAbstract Let be a large prime and let . We prove that if is a ‐valued multiplicative function, such that the exponential sums satisfy the ‘Gauss sum‐like’ approximate dilation symmetry property uniformly over all primes , then ...
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, 2003 In 1986, Matveev defined the notion of Borromean surgery for closed oriented 3-manifolds and showed that the equivalence relation generated by this move is characterized by the pair (first betti number, linking form up to isomorphism).
Massuyeau, Gwenael
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The structure of quadratic Gauss sums in Talbot effect
, 2016 The field diffracted from a one-dimensional, coherently illuminated periodic structure at fractional Talbot distances can be described as a coherent sum of shifted units cells weighted by a set of phases given by quadratic Gauss sums. We report on the computation of these sums by use of the properties of a recently introduced integer $s$, which is ...
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Equientangled Bases in Arbitrary Dimensions and Quadratic Gauss Sums
, 2010 This paper has been withdrawn due to the submission of a major revised version, arXiv:1004.1633 [quant-ph]. The latter provides an additional solution and contains significantly new material.
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Higher level quadratically twisted Gauss sums and totally isotropic subspaces
, 2017 We consider a generalized Gauss sum supported on matrices over a number field. We evaluate this Gauss sum and relate it to the number of totally isotropic subspaces of related quadratic spaces. Then we consider a further generalization of such a Gauss sum, realizing its value in terms of numbers of totally isotropic subspaces of related quadratic ...
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Nutrigonometry III: curvature, area and differences between performance landscapes. [PDF]
R Soc Open Sci, 2022 Morimoto J, Conceição P, Smoczyk K.
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The shifted convolution problem in function fields. [PDF]
Math AnnFlorea A, Lalín M, Malik A, Sahay A.
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