Results 21 to 30 of about 269 (52)
the Transformation of Sieve Function
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]
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.
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On the saturation number for cubic surfaces
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
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
Let ...
Gambini, Alessandro
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Refined Goldbach conjectures with primes in progressions
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
A survey paper on some recent results on additive problems with prime ...
Languasco, Alessandro
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Atrial Fibrillation Genetics Update: Toward Clinical Implementation. [PDF]
Kalstø SM +3 more
europepmc +1 more source
NF-kappa B genes have a major role in inflammatory breast cancer. [PDF]
Lerebours F +6 more
europepmc +1 more source

