Results 21 to 30 of about 20,647 (117)
Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case
, 2010 Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let $\k$ be a primitive multiplicative character of order $N$ over finite field $\fq$.
B. C. Berndt +18 more
core +1 more source
On the character sums analogous to high dimensional Kloosterman sums
AIMS Mathematics, 2021 The main purpose of this paper is using the properties of the classical Gauss sums and the analytic methods to study the computational problem of one kind of character sums analogous to high dimensional Kloosterman sums, and give some interesting ...
Jianghua Li, Xi Zhang
semanticscholar +1 more source
Talbot effect for dispersion in linear optical fibers and a wavelet approach
, 2005 We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are coprimes, and are ...
Cabrera, H. +3 more
core +1 more source
AIMS Mathematics, 2021 We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo $ p $, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some ...
Wenpeng Zhang, Jiafan Zhang
semanticscholar +1 more source
Polya-Vinogradov inequality for polynomial character sums over finite fields
Journal of Mathematical Inequalities, 2021 . A version of Polya–Vinogradov inequality in function fi elds appeared in [1, 2, 3, 9] recently. In this paper, we show some new bounds for polynomial character sums by making use of polynomial Gauss sums (see [4, 12]) and a formula from L. Carlitz (see [
Zhi Zheng, Ziwei Hong
semanticscholar +1 more source
On matrix elements for the quantized cat map modulo prime powers
, 2008 The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking arithmetic symmetries into account. We give explicit formulas for the matrix
Kelmer, Dubi
core +3 more sources
Gauss Sums of the Cubic Character over GF(2^m): an elementary derivation [PDF]
, 2010 An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field F2s without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is 1, and ifs is even its value is ( 2) s=2 ).
D. Schipani, M. Elia
semanticscholar +1 more source
Universal Gauss-Thakur sums and L-series
, 2013 In this paper we study the behavior of the function omega of Anderson-Thakur evaluated at the elements of the algebraic closure of the finite field with q elements F_q.
Angles, Bruno, Pellarin, Federico
core +2 more sources
On a Certain Quadratic Character Sums of Ternary Symmetry Polynomials mod p
, 2021 In this article, we are using the elementary methods and the properties of the classical Gauss sums to study the calculating problem of a certain quadratic character sums of a ternary symmetry polynomials modulo and obtain some interesting identities for
Yuanyuan Meng
semanticscholar +1 more source
Crystal constructions in Number Theory
, 2018 Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms of crystal graphs. We present crystals as parameterized by Littelmann patterns and we give a survey of purely combinatorial constructions of prime power ...
A Berenstein +36 more
core +1 more source