On the Riemann zeta-function, Part III

Details On the Riemann zeta-function, Part III On the Riemann zeta-function, Part III

2007-05-21

arxiv.org/abs/0705.2995v1

Mathematics

General Mathematics

23 pages

Scientific paper

An odd meromorphic function f(s) is constructed from the Riemann zeta-function evaluated at one-half plus s. The partial fraction expansion, p(s), of f(s) is obtained using the conjunction of the Riemann hypothesis and hypotheses advanced by the author. That compound hypothesis and the expansion p(s) are employed in Part IV to derive the two-sided Laplace transform representation of f(s) on the open vertical strip of all s with real part between zero and four.

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