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Bueno, lo prometido es deuda. Estos son mis enlaces más actuales sobre el tema, con la conjetura ABC como "tema caliente". Les recomiendo el segundo enlace de abajo, el "paper" de Barry Mazur explicando y poniendo en contexto esa conjetura, que tanta historia y alcance tiene en la teoría de números (hasta se relaciona con el último teorema de Fermat)
The Ax-Grothendieck Theorem According to Category Theory http://golem.ph.utexas.edu/category/2012/09/the_axgrothendieck_theorem_acc.html
Questions about Number http://www.math.harvard.edu/~mazur/papers/scanQuest.pdf Barry Mazur
Philosophy behind Mochizuki"s work on the ABC conjecture http://mathoverflow.net/questions/106560/what-is-the-underlying-vision-that-mochizuki-pursued-when-trying-to-prove-the-abc/106658#106658
Mochizuki on ABC http://quomodocumque.wordpress.com/2012/09/03/mochizuki-on-abc/
Proof of the abc Conjecture? http://www.math.columbia.edu/~woit/wordpress/?p=5104 http://www.math.columbia.edu/~woit/wordpress/?p=561
Posible demostración de la veracidad de la conjetura ABC http://gaussianos.com/posible-demostracion-de-la-veracidad-de-la-conjetura-abc/
Math/Maths 111: A Domino Computer on a Penrose Tiling http://pulse-project.org/node/449
abc conjecture http://en.wikipedia.org/wiki/Abc_conjecture
Mathematician Claims Proof of Connection between Prime Numbers http://news.yahoo.com/mathematician-claims-proof-connection-between-prime-numbers-131737044.html
Limerick primes http://www.johndcook.com/blog/2011/03/08/limerick-primes/
Egor Ivanovich Zolotarev http://www-history.mcs.st-and.ac.uk/Biographies/Zolotarev.html
A look at a few Tripos questions VI http://gowers.wordpress.com/2012/05/11/a-look-at-a-few-tripos-questions-vi/
Johann Peter Gustav Lejeune Dirichlet http://www-history.mcs.st-and.ac.uk/Biographies/Dirichlet.html
Olimpiada Matemática Española 2012 – Problema 4: Enteros positivos http://gaussianos.com/olimpiada-matematica-espanola-2012-problema-4-enteros-positivos/
On the Infinitude of the Prime Numbers — Euler"s Proof http://www.mathcelebration.com/PDF/InfPrimesScreen.pdf
Axel Thue http://www-history.mcs.st-and.ac.uk/Biographies/Thue.html
Diophantine Equations http://www.h2g2.com/approved_entry/A964956
The Number of the Beast http://www.cadaeic.net/666.htm
Rationality of the zeta function mod p http://sbseminar.wordpress.com/2011/12/12/rationality-of-the-zeta-function-mod-p/
Why isn"t the fundamental theorem of arithmetic obvious? http://gowers.wordpress.com/2011/11/13/why-isnt-the-fundamental-theorem-of-arithmetic-obvious/
Fermat Pseudoprime http://mathworld.wolfram.com/FermatPseudoprime.html
John Leech http://www-history.mcs.st-andrews.ac.uk/Biographies/Leech.html
Mis enlaces http://delicious.com/ajlopez/numbertheory
Nos leemos!
Angel "Java" Lopez http://www.ajlopez.com http://twitter.com/ajlopez
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