Explicit formulas for Hecke Gauss sums in quadratic number fields
, 2010 We derive an explicit formula for Hecke Gauss sums of quadratic number fields. As an immediate consequence we obtain a quadratic reciprocity law in quadratic number fields which generalizes the classical one given by Hecke. The proofs use, apart from the
Boylan, Hatice +3 more
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On the $2k$-th power mean of $\frac {L'}L(1,\chi )$ with the weight of Gauss sums
, 1935 summary:The main purpose of this paper is to study the hybrid mean value of $\frac {L'}L(1,\chi )$ and Gauss sums by using the estimates for trigonometric sums as well as the analytic method.
Yi, Yuan, Ren, Dongmei, Carl Siegel
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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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One kind power mean of the hybrid Gauss sums
, 2018 In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it.
Lan Qi, Wenpeng Zhang
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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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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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Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]
Entropy (Basel), 2023 Jackson CS, Caves CM.
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Quadratic Gauss sums over finite commutative rings
, 2001 All quadratic Gauss sums attached to a finite commutative ring with unity and odd characteristic are ...
Fernando Szechtman
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Perspectives on mathematics competitions and their relationship with mathematics education. [PDF]
ZDM, 2022 de Losada MF, Taylor PJ.
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On the General Dedekind Sums and Two-Term Exponential Sums
, 2020 We use the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid mean value involving the general Dedekind sums and the two-term exponential sums, and give an interesting computational formula for ...
Wenpeng Zhang, Junli Zhang
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