Results 1 to 10 of about 30 (30)
On the Waring-Goldbach problem for two squares and four cubes
Open Mathematics, 2023 Let NN be a sufficiently large integer. In this article, it is proved that, with at most O(N112+ε)O\left({N}^{\tfrac{1}{12}+\varepsilon }) exceptions, all even positive integers up to NN can be represented in the form p12+p22+p33+p43+p53+p63{p}_{1}^{2 ...
Zhang Min, Bai Hongxin, Li Jinjiang
doaj +1 more source
A pair of equations in unlike powers of primes and powers of 2
Open Mathematics, 2020 In this article, we show that every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of one prime, one prime squares, two prime cubes, and 187 powers of 2.
Cai Yong, Hu Liqun
doaj +1 more source
Quantitative relations between short intervals and exceptional sets of cubic Waring-Goldbach problem
Open Mathematics, 2017 In this paper, we are able to prove that almost all integers n satisfying some necessary congruence conditions are the sum of j almost equal prime cubes with j = 7, 8, i.e., N=p13+…+pj3$\begin{array}{} N=p_1^3+ \ldots +p_j^3 \end{array} $ with |pi−(N ...
Feng Zhao
doaj +1 more source
On pairs of equations in unlike powers of primes and powers of 2
Open Mathematics, 2017 In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
Hu Liqun, Yang Li
doaj +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 ...
Tolev, D., Kumchev, A.
core
It takes two (seconds): decreasing encoding time for two-choice functional near-infrared spectroscopy brain-computer interface communication. [PDF]
Neurophotonics, 2023 Vorreuther A +6 more
europepmc +1 more source
Restriction estimates of ε -removal type for k-th powers and paraboloids. [PDF]
Math Ann, 2018 Henriot K, Hughes K.
europepmc +1 more source
Relationship between Legionella spp. and antibody titres at a therapeutic thermal spa in Portugal. [PDF]
Epidemiol Infect, 1995 Rocha G +4 more
europepmc +1 more source
The Density and Solution Volume of some Proteins. [PDF]
Biochem J, 1913 Chick H, Martin CJ.
europepmc +1 more source