WALAILAK JOURNAL OF SCIENCE AND TECHNOLOGY

Volume 16, No. 09, Month SEPTEMBER, Year 2019, Pages 635 - 646

Speiser’s theorem on the road

Janyarak TONGSOMPORN, J?rn STEUDING

Abstract Download PDF

In this note, we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function). We indicate similarities between these results and present there analogues in the context of elliptic curves, regular graphs, and finite Euler products.

Keywords

Riemann zeta-function, elliptic curve, Riemann hypothesis, Speiser’s Theorem, regular graphs, Gauss-Lucas theorem

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