Results 21 to 30 of about 269 (52)

the Transformation of Sieve Function

open access: yes, 2020
In this paper, we will introduce the transformation of sieve function to improve sieve method. The sieve function can be transformed to similar sieve function and keep its value constant.
Han, Jinzhu
core  

An Invitation to Additive Prime Number Theory [PDF]

open access: yes, 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 the saturation number for cubic surfaces

open access: yes, 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

Correlations of the Moebius and Liouville functions and the twin prime conjecture

open access: yes, 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  

Refined Goldbach conjectures with primes in progressions

open access: yes, 2018
We formulate some refinements of Goldbach's conjectures based on heuristic arguments and numerical data. For instance, any even number greater than 4 is conjectured to be a sum of two primes with one prime being 3 mod 4. In general, for fixed $m$ and $a,
Martin, Kimball
core  

Applications of some exponential sums on prime powers: a survey

open access: yes, 2016
A survey paper on some recent results on additive problems with prime ...
Languasco, Alessandro
core  

Romanov type problems. [PDF]

open access: yesRamanujan J, 2018
Elsholtz C, Luca F, Planitzer S.
europepmc   +1 more source

Atrial Fibrillation Genetics Update: Toward Clinical Implementation. [PDF]

open access: yesFront Cardiovasc Med, 2019
Kalstø SM   +3 more
europepmc   +1 more source

NF-kappa B genes have a major role in inflammatory breast cancer. [PDF]

open access: yesBMC Cancer, 2008
Lerebours F   +6 more
europepmc   +1 more source

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