Results 61 to 70 of about 133,789 (107)
Evaluations of a Weighted Average of Gauss Sums
, 2021 In this paper, we perform a further investigation for a weighted average of Gauss sums. By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the ...
Wen-Kai Shao, Yuan He
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Equidistribution and independence of Gauss sums [PDF]
We prove a general independent equidistribution result for Gauss sums associated to $n$ monomials in $r$ variable multiplicative characters over a finite field, which generalizes several previous equidistribution results for Gauss and Jacobi sums.
Rojas-León, Antonio
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Random process generated by the incomplete Gauss sums [PDF]
, 2015 In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue ofweak invariance principle forthese sums. We focusour attentionexclusively on ageneralizationofthe limit distribution of the long incomplete Gauss
Demirci, Emek Akarsu
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Gauss Sums of Orders Six and Twelve
, 2001 Precise, elegant evaluations are given for Gauss sums of orders six and twelve.
Ronald Evans
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, 2016 Let p be a prime, n, r positive integers, S an integer coprime to p. We let Q_r denote an r-dimensional integral quadratic form. For convenience, set e(x) = e^{2 pi i x}, where x is any rational number, i is the imaginary unit. Denote the quadratic Gauss
Doyle, Gregory
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Local units and Gauss sums [PDF]
, 2003 In this paper, we will determine the structure of a certain module which is related to the plus part of the ideal class groups in terms of the divisibility of Gauss sums in some local fields. This result is a generalization of a result of Iwasawa and the
Aoki, Miho
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On the efficient evaluation of the azimuthal Fourier components of the Green's function for Helmholtz's equation in cylindrical coordinates. [PDF]
J Comput Phys, 2022 Garritano J +3 more
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On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Res Number Theory, 2022 Leterrier G.
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Anderson's Root Numbers and Thakur's Gauss Sums [PDF]
, 1997 In this paper we prove that Anderson's root numbers introduced in [1] are certain products of Thakur's Gauss sums up to a polynomial factors in Fqd[T].
Feng, Keqin
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Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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