Christian Pierre. Random matrices and Riemann hypothesis

Natural Sciences / Mathematics / Algebra

Submitted on: Jul 02, 2012, 19:47:25

Description: The curious connection between the spacings of the eigenvalues of random matrices and the corresponding spacings of the non trivial zeros of the Riemann zeta function is analyzed on the basis of the geometric dynamical global program of Langlands whose fundamental structures are shifted quantized conjugacy class representatives of bilinear algebraic semigroups.The considered symmetry behind this phenomenology is the differential bilinear Galois semigroup shifting the product,right by left,of automorphism semigroups of cofunctions and functions on compact transcendental quanta.

The abstract of this article has been published in the "Intellectual Archive Bulletin" , July 2012, ISSN 1929-1329.

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