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2007•Unpublished venueRequires access

A conjecture about the non-trivial zeroes of the Riemann zeta function

Julio Alcántara Bode

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Abstract

Some heuristic arguments are given in support of the following conjecture: If the Riemann Hypothesis (RH) does not hold then the number of zeroes of the Riemann zeta function with real part σ >  ½ is infinite.

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What this paper is about

Some heuristic arguments are given in support of the following conjecture: If the Riemann Hypothesis (RH) does not hold then the number of zeroes of the Riemann zeta function with real part σ >  ½ is infinite.

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Available abstract

Some heuristic arguments are given in support of the following conjecture: If the Riemann Hypothesis (RH) does not hold then the number of zeroes of the Riemann zeta function with real part σ >  ½ is infinite.

Key concepts: Conjecture, Riemann hypothesis, Riemann zeta function, Mathematics, Arithmetic zeta function, Riemann Xi function, Particular values of Riemann zeta function, Pure mathematics

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