Results 141 to 150 of about 58,161 (160)

Gauss Sums, Quadratic Reciprocity, and the Jacobi Symbol

2018
Our first goal in this chapter is to present Gauss’s sixth proof of his Law of Quadratic Reciprocity. The presentation here follows [32, §3.3] fairly closely, except that our Gauss sums are over the complex numbers, as opposed to ibid. where Gauss sums are considered over a finite field. Later in the chapter we introduce the Jacobi symbol and study its
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Quadratic Gauss sums and the distribution of quadratic residues

1994
13 p.
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An explicit evaluation of $10^{\text{th}}$-power moment of quadratic Gauss sums and some applications

Functiones Et Approximatio, Commentarii Mathematici, 2022
Antonio Rojas-León
exaly  

AN AMAZING IDENTITY OF GAUSS AND JENKINS’ LEMMA

Bulletin of the Australian Mathematical Society, 2023
Heng Huat Chan, Song Heng Chan
exaly  

A Hybrid Mean Value of L-Functions and General Quadratic Gauss Sums

2002
The main purpose of this paper is using the estimates for character sums and the analytic method to study the 2k-th power mean of Dirichlet L-functions with the weight of general quadratic Gauss sums, and give an interesting asymptotic formula.
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Quadratic residues and Gauss sums

2013
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The quadratic Gauss sum

2017
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Structure factor and the electronic structure in quadratic Gauss chains: A hidden symmetry revealed

Physics Letters, Section A: General, Atomic and Solid State Physics, 2023
exaly  

A multiplicative regularized Gauss-Newton method with trust region Sequential Quadratic Programming for structural model updating

Mechanical Systems and Signal Processing, 2019
Matteo Mazzotti, ivan bartoli
exaly  

Local Characterization of Integral Quadratic Forms by Gauss Sums

American Journal of Mathematics, 1957
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