Results 261 to 270 of about 121,729 (283)

Gauss Sums and Orthogonal Polynomials

International Journal of Modern Physics A, 1997
It is shown that q-Hermite polynomials for q a root of unity are orthogonal on finite numbers of points of the real axes. The (complex) weight function coincides with a special type of the Gauss sums in number theory. The same Gauss sum plays the role of the weight function for the Stiltjes–Wigert and Rogers–Szegö polynomials leading to the ...
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Quadratic Gauss Sums

2021
We introduce Pell forms and show they lead us in a natural way to quadratic Gauss sums. We point out connections to the analytic class number formula and the modularity of elliptic curves.
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On the biquadratic Gauss sum

Mathematical Proceedings of the Cambridge Philosophical Society, 1972
1. Professor J. W. S. Cassels (in (l)) recently enunciated a conjecture concerning Kummer sums. His conjecture suggests that there is a close connexion between the Kummer sum and a certain product of Weierstrass elliptic functions.In this paper we consider the biquadratic Gauss sum. A theory similar to that used in (1) and in (4) suggests that there is
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ON A SUM ANALOGOUS TO A GAUSS'S SUM

The Quarterly Journal of Mathematics, 1932
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The Gauss sums and Jacobi sums over Galois ring GR(p 2, r)

Science China Mathematics, 2013
Shixin Zhu, Keqin Feng
exaly  

Gauss Sums, Jacobi Sums, and Relative Gauss Sums

2020
Jennifer Seberry, Mieko Yamada
exaly  

RAMANUJAN'S INTEGRALS AND GAUSS'S SUMS

The Quarterly Journal of Mathematics, 1936
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Values of Dirichlet L-functions, Gauss sums and trigonometric sums

Ramanujan Journal, 2011
Emre Alkan
exaly  

Gauss’ Sum

1980
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Gauss Sums

2007
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