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The Generalized Quadratic Gauss Sum and Its Fourth Power Mean [PDF]
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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A new sum analogous to quadratic Gauss sums and its 2k th power mean [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiancun, Du, Xiaoxue, Li
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Arbitrary Sampling Fourier Transform and Its Applications in Magnetic Field Forward Modeling
Applied Sciences, 2022 Numerical simulation and inversion imaging are essential in geophysics exploration. Fourier transform plays a vital role in geophysical numerical simulation and inversion imaging, especially in solving partial differential equations.
Shikun Dai +4 more
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Double-Janus linear sigma models and generalized reciprocity for Gauss sums
Journal of High Energy Physics, 2021 We study the supersymmetric partition function of a 2d linear σ-model whose target space is a torus with a complex structure that varies along one worldsheet direction and a Kähler modulus that varies along the other.
Ori J. Ganor +2 more
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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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Powers of Gauss sums in quadratic fields [PDF]
Journal of Number Theory, 2022 18 pages; 2 ...
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Indicators of Tambara-Yamagami categories and Gauss sums [PDF]
, 2015 We prove that the higher Frobenius-Schur indicators, introduced by Ng and Schauenburg, give a strong enough invariant to distinguish between any two Tambara-Yamagami fusion categories.
Basak, Tathagata, Johnson, Ryan
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Semi-analytical approximation of the normal derivative of the heat simple layer potential near the boundary of a two-dimensional domain [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA semi-analytical approximation of the normal derivative of the simple layer heat potential near the boundary of a two-dimensional domain with $C^{5} $ smoothness is proposed.
Ivanov, Dmitrii Yurievich
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A Kronecker-type identity and the representations of a number as a sum of three squares [PDF]
, 2017 By considering a limiting case of a Kronecker-type identity, we obtain an identity found by both Andrews and Crandall. We then use the Andrews-Crandall identity to give a new proof of a formula of Gauss for the representations of a number as a sum of ...
Mortenson, E.
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, 2011 We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series: (i) a two-photon transition in a multi-level ladder system induced by a chirped laser pulse, (ii) a chirped one-photon transition in a two-level ...
Averbukh, I. Sh. +5 more
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