Results 1 to 10 of about 25,118 (105)
A Note on the Classical Gauss Sums [PDF]
Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind rational polynomials of the classical Gauss sums, and using the purely algebraic methods and the properties of the character sums mod p (a prime with p ≡
Tingting Wang, Guohui Chen
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On the fourth-order linear recurrence formula related to classical Gauss sums
Open Mathematics, 2017 Let p be an odd prime with p ≡ 1 mod 4, k be any positive integer, ψ be any fourth-order character mod p. In this paper, we use the analytic method and the properties of character sums mod p to study the computational problem of G(k, p) = τk(ψ)+τk(ψ ...
Zhuoyu Chen, Wenpeng Zhang
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Classical Simulation of Quantum Circuits by Half Gauss Sums [PDF]
Communications in Mathematical Physics, 2022 31 pages, no ...
Kaifeng Bu, Dax Enshan Koh
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On Classical Gauss Sums and Some of Their Properties [PDF]
Symmetry, 2018 The goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.
Li Chen
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On the classical Gauss sums and their some new identities
AIMS Mathematics, 2022 <abstract><p>In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the calculating problems of some Gauss sums involving the character of order $ 12 $ modulo an odd prime $ p $, and obtain several new and interesting identities for them.</p></abstract>
Wenpeng Zhang
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Identities arising from Gauss sums for finite classical groups
Journal of Number Theory, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dae San Kim
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Stationary Phase Method in Discrete Wigner Functions and Classical Simulation of Quantum Circuits [PDF]
Quantum, 2021 One of the lowest-order corrections to Gaussian quantum mechanics in infinite-dimensional Hilbert spaces are Airy functions: a uniformization of the stationary phase method applied in the path integral perspective.
Lucas Kocia, Peter Love
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On the classical Gauss sum and the recursive properties [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Bai, Jiayuan Hu
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The hybrid power mean of quartic Gauss sums and Kloosterman sums
Open Mathematics, 2017 The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact ...
Xiaoxue Li, Jiayuan Hu
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Mathematics, 2017 We consider the Gauss–Manin differential equations for hypergeometric integrals associated with a family of weighted arrangements of hyperplanes moving parallel to themselves.
Alexander Varchenko
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