Results 21 to 30 of about 58,365 (183)
Higher level quadratically twisted Gauss sums and totally isotropic subspaces [PDF]
, 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 ...
Lynne H. Walling
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Moments of Generalized Quadratic Gauss Sums Weighted by L-Functions
Journal of Number Theory, 2002 The author studies moments of the generalized quadratic Gauss sum \[ G(n, \chi; q)=\sum_{a=1}^q\chi(a)\exp(2\pi ina^2/q),\;q,n\in\mathbb Z,\;q\geq 2, \] weighted by the Dirichlet \(L\)-function \(L(s, \chi)\), where \(\chi\) is the character modulo \(q\). Let \(p\) denote an odd prime and let \((n, p)=1\).
Wenpeng Zhang
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Quadratic Reciprocity and the Sign of the Gauss Sum via the Finite Weil Representation [PDF]
International Mathematics Research Notices, 2010 We give new proofs of two basic results in number theory: The law of quadratic reciprocity and the sign of the Gauss sum. We show that these results are encoded in the relation between the discrete Fourier transform and the action of the Weyl element in the Weil representation modulo p,q and pq.
Shamgar Gurevich +2 more
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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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Dynamic Transitions for Fast Joint Acquisition and Reconstruction of CEST- $$ {R}_{ex} $$ and $$ {T}_1 $$. [PDF]
Magn Reson MedABSTRACT Purpose This work proposes a method for the simultaneous estimation of the exchange‐dependent relaxation rate Rex$$ {R}_{ex} $$ and the longitudinal relaxation time T1$$ {T}_1 $$ from a single acquisition. Methods A novel acquisition scheme was developed that combines CEST saturation with an inversion pulse and a Look‐Locker readout to capture
Huemer M +6 more
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Gauss sums and integral quadratic forms over local fields of characteristic 2 [PDF]
Pacific Journal of Mathematics, 1976 Delores Williams
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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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A certain new Gauss sum and its fourth power mean
AIMS Mathematics, 2020 The main purpose of this paper is using the elementary methods and the properties of the Legendre symbol to study the computational problem of the fourth power mean of a certain generalized quadratic Gauss sum, and give two exact calculating formulae for
Yan Zhao, Wenpeng Zhang, Xingxing Lv
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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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