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arXiv:1001.2962 [math.CA]AbstractReferencesReviewsResources

A method for locating where the real part of the Riemann zeta function becomes negative for its real argument greater than one

Dominic C. Milioto

Published 2010-01-18, updated 2010-01-20Version 3

This paper describes a search algorithm to locate values of t where the real part of the Riemann zeta function, zeta(sigma+it), is negative for sigma>1. The run-time to execute the search is much less than a brute-force approach and relies on certain symmetries of congruence equations related to the zeta function.

Comments: 13 Pages, six figures, five tables, two Mathematica routines
Categories: math.CA, math.NA
Subjects: 33P05, 65K05
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