Results 91 to 100 of about 25,118 (105)

New Product Formulas for Classical Gauss Sums

open access: closedActa Mathematica Sinica, English Series
In this paper, the authors prove interesting triplication formulas for classical Gaussian sums using elementary methods from algebra and number theory. Letting \(\tau(\chi)\) denote the Gaussian sum \(\tau(\chi) = \sum_{\mu=1}^{q} \chi(\mu) \exp(2\pi i \mu/q)\), one such triplication formula is \[ \tau(\chi^6) = \left(\frac{-1}{q}\right) \frac{\chi(432)
Wenpeng Zhang
exaly   +4 more sources

Gauss Sums and the Classical Γ-Function

open access: closedBulletin of the London Mathematical Society, 1980
Carsten Schmidt
openalex   +2 more sources

New Identities Dealing with Gauss Sums

Symmetry, 2020
Wenpeng Zhang   +2 more
exaly  

On the fourth-power mean of the general cubic Gauss sums*

Lithuanian Mathematical Journal, 2016
Wenpeng Zhang
exaly  

On the fourth power mean of the generalized quadratic Gauss sums

Acta Mathematica Sinica, English Series, 2017
Wen Peng Zhang, Xin Lin
exaly  

IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS

Journal of the Korean Mathematical Society, 2010
Dae San Kim
exaly  

New factorization algorithm based on a continuous representation of truncated Gauss sums

Journal of Modern Optics, 2009
Vincenzo Tamma   +2 more
exaly  

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