Results 31 to 40 of about 212,333 (259)

The integral part of a nonlinear form with a square, a cube and a biquadrate

open access: yesOpen Mathematics, 2020
In this paper, we show that if λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} are non-zero real numbers, and at least one of the numbers λ1,λ2,λ3{\lambda }_{1},{\lambda }_{2},{\lambda }_{3} is irrational, then the integer parts of λ1n12+λ2n23+λ3n34{
Ge Wenxu, Li Weiping, Zhao Feng
doaj   +1 more source

Averages Along the Primes: Improving and Sparse Bounds

open access: yesConcrete Operators, 2020
Consider averages along the prime integers ℙ given ...
Han Rui   +3 more
doaj   +1 more source

Different Stages, Different Signals: The Modulating Effect of Cognitive Conflict on Subsequent Processing. [PDF]

open access: yesPLoS ONE, 2016
The present study used event-related potentials (ERPs) to investigate the function of signals induced by cognitive conflict during the detection stage and the resolution stage of perceptual processing.
Fada Pan   +4 more
doaj   +1 more source

COMPARATIVE STUDY BETWEEN A NOVEL DETERMINISTIC TEST FOR MERSENNE PRIMES AND THE WELL-KNOWN PRIMALITY TESTS

open access: yesمجلة بغداد للعلوم, 2023
In this article, a new deterministic primality test for Mersenne primes is presented. It also includes a comparative study between well-known primality tests in order to identify the best test.
Yahia Awad, Ramiz Hindi, Haissam Chehade
doaj   +1 more source

Vinogradov's three primes theorem with almost twin primes

open access: yes, 2017
In this paper we prove two results concerning Vinogradov's three primes theorem with primes that can be called almost twin primes. First, for any $m$, every sufficiently large odd integer $N$ can be written as a sum of three primes $p_1, p_2$ and $p_3 ...
Matomäki, Kaisa, Shao, Xuancheng
core   +1 more source

A Density Version of the Vinogradov Three Primes Theorem

open access: yes, 2013
We prove that if A is a subset of the primes, and the lower density of A in the primes is larger than 5/8, then all sufficiently large odd positive integers can be written as the sum of three primes in A.
Shao, Xuancheng
core   +1 more source

On Diophantine approximation by unlike powers of primes

open access: yesOpen Mathematics, 2019
Suppose that λ1, λ2, λ3, λ4, λ5 are nonzero real numbers, not all of the same sign, λ1/λ2 is irrational, λ2/λ4 and λ3/λ5 are rational. Let η real, and ε > 0.
Ge Wenxu, Li Weiping, Wang Tianze
doaj   +1 more source

The generalization and proof of Bertrand's postulate

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
The purpose of this paper is to show that for ...
George Giordano
doaj   +1 more source

On the Eight Levels theorem and applications towards Lucas-Lehmer primality test for Mersenne primes, I

open access: yesArab Journal of Basic and Applied Sciences, 2023
Lucas-Lehmer test is the current standard algorithm used for testing the primality of Mersenne numbers, but it may have limitations in terms of its efficiency and accuracy.
Moustafa Ibrahim
doaj   +1 more source

Figurate primes and Hilbert's 8th problem

open access: yes, 2014
In this paper, by using the theory of elliptic curves, we discuss several Diophantine equations related with the so-called figurate primes. Meanwhile, we raise several conjectures related with figurate primes and Hilbert's 8th problem, including Goldbach'
Cai, Tianxin   +2 more
core   +1 more source

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