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An apparent connection between random matrices and the Riemann Zeta Function
- RiderOfGiraffes 17y agoThe interesting thing here is the similarity with Fermat's Last Theorem (now the Wiles-Taylor Theorem). There it was a completely unexpected connection between Modular Forms and Elliptic Curves (Taniyama-Suimura Conjecture - now Theorem) that opened the way for the proof. Here there appears to be predictive power in random matrices to talk about the zeros on the critical line of the RZF. And before you ask, I don't know much about this. I've been to a talk and it all looked reasonable and exciting, but there's no way I could reproduce any of it. I can try to interpret stuff if people ask.
- andrewcooke 17y agosome background i found on a quick search: http://www.maa.org/mathland/mathtrek_6_28_99.html http://www.maa.org/mathland/mathtrek_6_28_99.html (short summary) http://www.maths.bris.ac.uk/~majm/bib/GAFoS.pdf http://www.maths.bris.ac.uk/~majm/bib/GAFoS.pdf (two page magazine article) http://www.maths.bris.ac.uk/~majpk/papers/67.pdf http://www.maths.bris.ac.uk/~majpk/papers/67.pdf (heavier)
- RiderOfGiraffes 17y agoThanks. I'm never quite sure how much extra material to provide.