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Your search keyword '"*NUMBER theory"' showing total 1 results
Start Over Descriptor "*NUMBER theory" Topic analytic number theory Topic set theory Journal journal of mathematical analysis & applications Publisher academic press inc.

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1 results on '"*NUMBER theory"'

1. Self-intersections of the Riemann zeta function on the critical line.

Author

Banks, William, Castillo-Garate, Victor, Fontana, Luigi, and Morpurgo, Carlo

Subjects
*INTERSECTION graph theory, *ANALYTIC number theory, *EQUATIONS, *COMPUTATIONAL complexity, *SET theory, *INJECTIVE functions
Abstract

Abstract: We show that the Riemann zeta function has only countably many self-intersections on the critical line, i.e., for all but countably many the equation has at most one solution . More generally, we prove that if is analytic in a complex neighborhood of and locally injective on , then either the set is countable, or the image is a loop in . [Copyright &y& Elsevier]

Published
2013
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