Speiser’s Theorem on the Road

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...

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Bibliographic Details
Main Authors: Janyarak TONGSOMPORN, Jörn STEUDING
Format: Article
Language:English
Published: Walailak University 2019-05-01
Series:Walailak Journal of Science and Technology
Subjects:
Online Access:http://wjst.wu.ac.th/index.php/wjst/article/view/6944
Description
Summary: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.
ISSN:1686-3933
2228-835X