Download e-book for iPad: The Riemann Hypothesis for Function Fields: Frobenius Flow by Machiel van Frankenhuijsen

By Machiel van Frankenhuijsen

This e-book offers a lucid exposition of the connections among non-commutative geometry and the recognized Riemann speculation, targeting the idea of one-dimensional forms over a finite box. The reader will come upon many very important facets of the idea, equivalent to Bombieri's evidence of the Riemann speculation for functionality fields, besides an evidence of the connections with Nevanlinna conception and non-commutative geometry. the relationship with non-commutative geometry is given targeted recognition, with a whole decision of the Weil phrases within the specific formulation for the purpose counting functionality as a hint of a shift operator at the additive house, and a dialogue of the way to acquire the categorical formulation from the motion of the idele category crew at the area of adele sessions. The exposition is offered on the graduate point and above, and gives a wealth of motivation for additional learn during this area.

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The Riemann Hypothesis for Function Fields: Frobenius Flow and Shift Operators (London Mathematical Society Student Texts) by Machiel van Frankenhuijsen


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