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Diophantine equations and the generalized Riemann hypothesis
by
Brandon Fodden
University of Lethbridge
We indicate how one may show that the statement "the generalized Riemann hypothesis holds for all number fields K" is equivalent to the unsolvability of a particular Diophantine equation. This is done using methods arising from the negative solution to Hilbert's tenth problem. These methods allow one to show that statements of a certain type are equivalent to the unsolvability of a Diophantine equation.
Date received: April 18, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-26.