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New Product Formulas for Classical Gauss Sums
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
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Gauss Sums and the Classical Γ-Function
Carsten Schmidt
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Values of Dirichlet L-functions, Gauss sums and trigonometric sums
Ramanujan Journal, 2011Emre Alkan
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On the fourth-power mean of the general cubic Gauss sums*
Lithuanian Mathematical Journal, 2016Wenpeng Zhang
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On the fourth power mean of the generalized quadratic Gauss sums
Acta Mathematica Sinica, English Series, 2017Wen Peng Zhang, Xin Lin
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IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS
Journal of the Korean Mathematical Society, 2010Dae San Kim
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New factorization algorithm based on a continuous representation of truncated Gauss sums
Journal of Modern Optics, 2009Vincenzo Tamma +2 more
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