Results 21 to 30 of about 270 (42)
On the sum of a prime and a Fibonacci number
, 2010 We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic ...
Lee, K. S. Enoch
core +1 more source
Diophantine approximation by special primes
, 2018 We show that whenever $\delta>0$, $\eta$ is real and constants $\lambda_i$ satisfy some necessary conditions, there are infinitely many prime triples $p_1,\, p_2,\, p_3$ satisfying the inequality $|\lambda_1p_1 + \lambda_2p_2 + \lambda_3p_3+\eta|
Dimitrov, S. I.
core +1 more source
An Invitation to Additive Prime Number Theory [PDF]
, 2005 2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36, 11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches of analytic number ...
Kumchev, A., Tolev, D.
core
On a Diophantine problem with two primes and s powers of two
, 2009 We refine a recent result of Parsell on the values of the form $\lambda_1p_1 + \lambda_2p_2 + \mu_1 2^{m_1} + ...m + \mu_s 2^{m_s}, $ where $p_1,p_2$ are prime numbers, $m_1,...c, m_s$ are positive integers, $\lambda_1 / \lambda_2$ is negative and ...
Languasco, A., Zaccagnini, A.
core +3 more sources
On the saturation number for cubic surfaces
, 2014 We investigate the density of rational points on the Fermat cubic surface and the Cayley cubic surface whose coordinates have few prime factors. The key tools used are the weighted sieve, the circle method and universal torsors.Comment: 20 pages ...
Wang, Yuchao
core +1 more source
Sums of four prime cubes in short intervals
, 2018 We prove that a suitable asymptotic formula for the average number of representations of integers $n=p_{1}^{3}+p_{2}^{3}+p_{3}^{3}+p_{4}^{3}$, where $p_1,p_2,p_3,p_4$ are prime numbers, holds in intervals shorter than the the ones previously known ...
Languasco, Alessandro +1 more
core +1 more source
On some universal sums of generalized polygonal numbers
, 2016 For $m=3,4,\ldots$ those $p_m(x)=(m-2)x(x-1)/2+x$ with $x\in\mathbb Z$ are called generalized $m$-gonal numbers. Sun [13] studied for what values of positive integers $a,b,c$ the sum $ap_5+bp_5+cp_5$ is universal over $\mathbb Z$ (i.e., any $n\in\mathbb ...
Ge, Fan, Sun, Zhi-Wei
core +1 more source
Correlations of the Moebius and Liouville functions and the twin prime conjecture
, 2015 In this note we describe weight functions that exhibit a transitional behavior between weak and strong correlation with the Liouville function. We also describe a binary problem which may be considered as an interpolation between Chowla's conjecture for ...
Preobrazhenskaya, Tatyana +1 more
core
Diophantine approximation with one prime, two squares of primes and one $k$-th power of a prime
, 2017 Let ...
Gambini, Alessandro
core