Results 61 to 70 of about 1,750 (289)
Algebraic degrees of a class of exponential sums
四川大学学报. 自然科学版, 2020 Recently Wan studied the algebraic degrees of the exponential sums S_q(f) over a finite field F_q. In this article, basing on Wan's results, we discuss the Gauss sums for the case q=p^2 and obtain that S_q(x^d) has only two possible values, if it is of ...
Chen Chao, PENG Guo-Hua
doaj
On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
doaj +1 more source
Tokyo Journal of Mathematics, 2012 Let \(p > 2\) be a prime number, \(\mathbb F_p\) the prime finite field with \(p\) elements, \(\mathbb F^*_p\) its multiplicative cyclic group of order \(p-1\) and \(i = \sqrt{-1}\). The classical Gauss sum \(g_p\) is given by \[ \tau_p= \sum_{x \in \mathbb F^*_p} \left( \frac{x}{p} \right) e^{2 { \pi}i x/p}, \] where \( \left( \frac{x}{p} \right)\) is
GOMI, Yasushi +2 more
openaire +3 more sources
THE VALUE DISTRIBUTION OF INCOMPLETE GAUSS SUMS [PDF]
Mathematika, 2013 It is well known that the classical Gauss sum, normalized by the square-root number of terms, takes only finitely many values. If one restricts the range of summation to a subinterval, a much richer structure emerges. We prove a limit law for the value distribution of such incomplete Gauss sums.
Emek Demirci Akarsu, Jens Marklof
openaire +3 more sources
Advanced Materials Technologies, EarlyView.The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin +5 more
wiley +1 more source
A Hybrid Mean Value Involving Dedekind Sums and the General Exponential Sums
The Scientific World Journal, 2014 The main purpose of this paper is using the analytic method, A. Weil’s classical work for the upper bound estimate of the general exponential sums, and the properties of Gauss sums to study the hybrid mean value problem involving Dedekind sums and the ...
Jianghua Li, Tingting Wang
doaj +1 more source
The Weil representation and Gauss sums [PDF]
Pacific Journal of Mathematics, 1996 We use the Weil representation to evaluate certain Gauss sums over a local field, up to \(\pm 1\). Also we construct a cocycle on \(\text{Sp} (2m, \mathbb{R})\) with a simple formula on the maximal compact torus and we show how to lift homomorphisms \(j: \text{Sp} (2n, \mathbb{R})\to \text{Sp} (2m, \mathbb{R})\) to the double covers of these groups.
openaire +3 more sources
On Gauss sums and the evaluation of Stechkin’s constant [PDF]
Mathematics of Computation, 2015 For the Gauss sums which are defined by \[ S n (
William D. Banks, Igor E. Shparlinski
openaire +4 more sources
The Iwasawa Main Conjecture and Gauss Sums
, 2001 In this paper, we give a new proof of the Iwasawa main conjecture using the Euler systems of Gauss sums. Our proof is different from that of Mazur and Wiles and that of Rubin and Greither.
Aoki, Miho, Miho Aoki
core +1 more source
Classical Simulation of Quantum Circuits by Half Gauss Sums
, 2022 We give an efficient algorithm to evaluate a certain class of exponential sums, namely the periodic, quadratic, multivariate half Gauss sums. We show that these exponential sums become
Bu, Kaifeng, Koh, Dax E.
core +1 more source