Results 31 to 40 of about 212,333 (259)
The integral part of a nonlinear form with a square, a cube and a biquadrate
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
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]
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
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
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
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
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
The purpose of this paper is to show that for ...
George Giordano
doaj +1 more source
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
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

