[EstudiantesMatemática]Teoría de Números

[Maru S.]

Les comparto algo que me llegó, quizás les interese.

 Two Results in Number TheoryTwo results announced this week relate to two long-unresolved problems:the Twin Prime Conjecture and the Goldbach Conjecture.  - "Bounded gaps between primes," a paper by  Yitang Zhang  (University of New Hampshire) shows that there are infinitely many pairs of consecutive prime numbers that differ by a finite amount. In the paper Zhang shows that there are an infinite number of consecutive primes that differ by less than 70 million. It has been accepted by the  Annals of Mathematics . The proof represents progress on settling the Twin Prime Conjecture, which states that there are infinitely many prime numbers that differ by 2. In an article in emNew Scientist [ http://www.newscientist.com/article/dn23535-proof-that-an-infinite-number-of-primes-are-paired.html ] , Henry Iwaniec (Rutgers University) called Zhang's result "beautiful."  - "Major arcs for Goldbach's theorem," a paper [ http://arxiv.org/abs/1305.2897 ]  by  Harald Helfgott  (École Normale Supérieure) is a proof of the Weak Goldbach Conjecture, which states that every odd number greater than five can be written as the sum of three primes. The Goldbach Conjecture states that every even number greater than two can be written as the sum of two primes. 		 	   		  
------------ próxima parte ------------
Se ha borrado un adjunto en formato HTML...
URL: <http://www.cmat.edu.uy/pipermail/listaestudiantes/attachments/20130519/538257fe/attachment.html>