Results 91 to 100 of about 40,388 (276)

Generalized quadratic Gauss sums and their 2mth power mean

Open Mathematics
The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth ...
Cui Dewang, Zhang Wenpeng
doaj   +1 more source

The hybrid power mean of the generalized Gauss sums

Advances in Difference Equations, 2017
The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums mod p $\operatorname{mod}\ p$ , an odd prime ...
Li Chen, Wenpeng Zhang
doaj   +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

On the generalized exponential sums and their fourth power mean

Open Mathematics
The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meantime, a
Liu Wencong, Ning Shushu
doaj   +1 more source

A new fourth power mean of two-term exponential sums

Open Mathematics, 2019
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
doaj   +1 more source

Kummer’s conjecture for cubic Gauss sums [PDF]

Israel Journal of Mathematics, 2000
In J. Reine Angew. Math. 310, 111--130 (1979; Zbl 0412.10028) the author and the reviewer proved that cubic Gauss sums defined over primes in the ring \(\mathbb Z[\omega]\), \(\omega^2+ \omega+1=0\) were uniformly distributed; this result showed in particular that conjecture (or rather suggestion) about the distribution of the values of cubic Gauss ...
openaire   +3 more sources

Magnetic Field‐Modulated Boolean Logic in Proteinoid‐ Fe3 O4 Hybrid Materials

Advanced Physics Research, EarlyView.
Proteinoid‐Fe3O4${\rm Fe}_3{\rm O}_4$. nanoparticle composites exhibit spontaneous electrical oscillations that emulate Boolean logic gates (AND, OR, XOR, NAND, NOR, NOT) under magnetic field modulation. External fields of 65.103 mT tune oscillatory behavior: 84 mT enhances amplitude while 103 mT suppresses it.
Panagiotis Mougkogiannis, Andrew Adamatzky   +1 more
wiley   +1 more source

Primality proving with Gauss and Jacobi sums

Journal of Telecommunications and Information Technology, 2004
This article presents a primality test known as APR (Adleman, Pomerance and Rumely) which was invented in 1980. It was later simplified and improved by Cohen and Lenstra.
Andrzej Chmielowiec
doaj   +1 more source

Covalent Attachment of a Platinum(II) Complex inside DNA Duplexes

ChemistryEurope, EarlyView.
Oxidative addition is used for the site‐specific incorporation of an organometallic PtII complex as an artificial nucleobase into a DNA duplex. The platination stabilizes the duplex and confers it with phosphorescence. An organometallic phosphorescent PtII complex is introduced into DNA duplexes via oxidative addition to a tailor‐made artificial ...
Tim Schäfer, Iván Maisuls, Felix Boisten, Marian Hebenbrock, Alexander Hepp, Cristian A. Strassert, Jens Müller   +6 more
wiley   +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