Results 31 to 40 of about 25,118 (105)

Phase of the Wilson Line [PDF]

, 1994
This paper discusses the global $Z(N)$ symmetry of finite-temperature, $SU(N)$, pure Yang-Mills lattice gauge theory and the physics of the phase of the Wilson line expectation value.
Kiskis, J.
core   +2 more sources

Gauss Sums and Quantum Mechanics

, 2000
By adapting Feynman's sum over paths method to a quantum mechanical system whose phase space is a torus, a new proof of the Landsberg-Schaar identity for quadratic Gauss sums is given.
Alice Rogers, Armitage J V, Berry M, Davison B, Dym H, Feynman R P, Hecke E, Landau E, Polya G, Schiff L, Schulman L S, Shor P W, Vernon Armitage, Waterhouse W C   +13 more
core   +1 more source

On the two-term exponential sums and character sums of polynomials

Open Mathematics, 2019
The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
doaj   +1 more source

One kind of character sum modulo a prime p and its recurrence formula

Advances in Difference Equations, 2019
The aim of this paper is to use an analytic method and the properties of the classical Gauss sums to research the computational problem of one kind of character sum of polynomials modulo an odd prime p and obtain several meaningful third- and fourth ...
Wenpeng Zhang, Zhuoyu Chen
doaj   +1 more source

Twisting formula of epsilon factors

, 2017
For characters of a non-Archimedean local field we have explicit formula for epsilon factors. But in general, we do not have any generalized twisting formula of epsilon factors.
Biswas, Sazzad Ali
core   +1 more source

Factorization of numbers with Gauss sums: I. Mathematical background

, 2011
We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for various examples.
Averbukh, I. Sh., Girard, B., Merkel, W., Schleich, W. P., Wölk, S.   +4 more
core   +3 more sources

A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 cases

, 2009
Recently, the explicit evaluation of Gauss sums in the index 2 and 4 cases have been given in several papers (see [2,3,7,8]). In the course of evaluation, the sigh (or unit root) ambiguities are unavoidably occurred.
B. C. Berndt, C. F. Gauss, J. Yang, J. Yang, Jing Yang, K. Feng, K. Feng, K. Ireland, L. Stickelberger, Lingli Xia, M. V. Vlugt, O. D. Mbodj, P. Langevin, P. Meijer, R. J. McEliece, R. Lidl   +15 more
core   +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

Some New Identities Related to Dedekind Sums Modulo a Prime

Journal of Mathematics
The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give
Jiayuan Hu
doaj   +1 more source

q-Newton binomial: from Euler to Gauss

, 2000
A counter-intuitive result of Gauss (formulae (1.6), (1.7) below) is made less mysterious by virtue of being generalized through the introduction of an additional ...
Andrews G.E., Andrews G.E., Andrews G.E., Andrews G.E., Arnold V.I., Askey R., Berndt B.C., Berndt Bruce C., Berndt Bruce C., Berndt Bruce C., Berndt Bruce C., Bolobás B., Hardy G.H., Hirschhorn M.D., Kanigel R., Knopp K., Kupershmidt B.A., Kupershmidt B.A., Littlewood J.E., Mordell L.J., Neville E.H., Ramanujan S., Ramanujan S., Ranganathan S.R., Watson G.N., Waugh A.   +25 more
core   +2 more sources