Results 91 to 100 of about 1,750 (289)

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

New Mixed Exponential Sums and Their Application

Journal of Applied Mathematics, 2014
The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
doaj   +1 more source

Generalized p-adic Gauss Sums

, 2016
In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Stickelberger\u27s congruence for classical Gauss sums over finite fields. We improve on Blache\u27s work in two ways: (i) simplify Blache\u27s proof and give a
Xhumari, Sandi
core  

Economy of Touch : Task‐Driven Information Selection in Electrical Impedance Tomography‐based Tactile Robotic Sensing

Advanced Intelligent Systems, EarlyView.
Electrical impedance tomography (EIT) tactile skins enable multiplexed measurements that trade sensing speed against information richness. This work introduces an economy‐of‐touch framework that treats tactile sensing as an information‐budgeting problem.
Xiaoxian Xu, David Hardman, Fumiya Iida
wiley   +1 more source

On the fourth power mean of the generalized three-term exponential sums

四川大学学报. 自然科学版, 2020
This paper aims at calculation of the fourth power mean of a certain generalized three-term exponential sums modulo p, an odd prime.By using some properties of the classical Gauss sums and character sums, we give some exact calculating formulae and ...
Tang Rui, CHEN Long
doaj  

Cyclotomy of order 15 over GF(p2), p=4, 11(mod15)

International Journal of Mathematics and Mathematical Sciences, 1986
For primes p≡4, 11(mod15) explicit formulae are obtained for the cyclotomic numbers of order 15 over GF(p2).
Christian Friesen, Joseph B. Muskat, Blair K. Spearman, Kenneth S. Williams   +3 more
doaj   +1 more source

Random process generated by the incomplete Gauss sums [PDF]

, 2015
In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue ofweak invariance principle forthese sums. We focusour attentionexclusively on ageneralizationofthe limit distribution of the long incomplete Gauss
Demirci, Emek Akarsu
core  

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, Szechtman, Fernando
core   +1 more source

Two‐Dimensional Flow and Thermal Energy Transfer in Non‐Newtonian Casson–Carreau Ternary Hybrid Nanofluids Over Stationary and Moving Wedge Surfaces With Radiation and Magnetic Field Effects

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Efficient thermal management in advanced industrial systems requires improved heat transfer performance, particularly under non‐Newtonian fluid behavior and complex surface geometries. This study investigates the two‐dimensional flow and heat transfer characteristics of ternary hybrid nanofluids over both stationary and moving wedge surfaces ...
A. O. Akindele, A. M. Obalalu, M. O. Afolabi, Umair Khan, Samia Elattar   +4 more
wiley   +1 more source

One kind hybrid character sums and their upper bound estimates

Journal of Inequalities and Applications, 2018
The main purpose of this paper is applying the analysis method, the properties of Lucas polynomials and Gauss sums to study the estimation problems of some kind hybrid character sums. In the end, we obtain several sharp upper bound estimates for them. As
Jianhong Zhao, Xiao Wang
doaj   +1 more source