Results 11 to 20 of about 43 (42)

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  

Some identities involving primes

, 2018
The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study some classical problem related to a prime p. We shall give some new identities involving a prime p, one of which is that if prime p = 6k + 1, then ...
Liu, Yuhui
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Kusniec's Theorem (expanded)

This work presents a comprehensive study on the distribution of prime numbers through geometric and arithmetic methodologies, offering new insights into their behavior and verifying several conjectures, including Legendre’s, Oppermann’s, Brocard’s, and ...
Charles Kusniec
core   +1 more source

Prime Numbers and Gaps: A Unified Approach to Goldbach's Conjecture Using the Difference of Squares

This study explores the Goldbach Conjecture and the Twin Prime Conjecture using novel approaches rooted in the difference of squares. By analyzing the equations x_1= 4uv-2u-2v+1 and x_1=(2g-1)^2-(2t)^2, we demonstrate the existence of gaps in the ...
Charles Kusniec
core  

Romanov type problems. [PDF]

Ramanujan J, 2018
Elsholtz C, Luca F, Planitzer S.
europepmc   +1 more source

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

Front Cardiovasc Med, 2019
Kalstø SM, Siland JE, Rienstra M, Christophersen IE.   +3 more
europepmc   +1 more source

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

BMC Cancer, 2008
Lerebours F, Vacher S, Andrieu C, Espie M, Marty M, Lidereau R, Bieche I.   +6 more
europepmc   +1 more source

Similar NF-κB gene signatures in TNF-α treated human endothelial cells and breast tumor biopsies. [PDF]

PLoS One, 2011
Perrot-Applanat M, Vacher S, Toullec A, Pelaez I, Velasco G, Cormier F, Saad Hel S, Lidereau R, Baud V, Bièche I.   +9 more
europepmc   +1 more source

Tenm, a Drosophila gene related to tenascin, is a new pair-rule gene. [PDF]

EMBO J, 1994
Baumgartner S, Martin D, Hagios C, Chiquet-Ehrismann R.   +3 more
europepmc   +1 more source

Some Experiments on the Relative Digestibility of White and Wholemeal Breads. [PDF]

J Hyg (Lond), 1912
Newman LF, Robinson GW, Halnan ET, Neville HA.   +3 more
europepmc   +1 more source