Rational values of the Riemann zeta function |
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Authors: | D. Masser |
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Affiliation: | Mathematisches Institut, Universität Basel, Rheinsprung 21, 4051 Basel, Switzerland |
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Abstract: | We prove the existence of a constant C such that for any D?3 there are at most rational numbers s with 2<s<3 and denominator at most D such that ζ(s) is also rational with denominator at most D. This is done by combining elements of the works of Bombieri-Pila, Pila, and Surroca with a new zero estimate. |
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Keywords: | Zeta function Irrationality Counting |
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