Speiser’s Theorem on the Road | Zendy

Janyarak Tongsomporn | Zendy; Jörn Steuding | Zendy

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Speiser’s Theorem on the Road

Author(s) -

Janyarak Tongsomporn,

Jörn Steuding

Publication year - 2019

Publication title -

walailak journal of science and technology (wjst)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.146

H-Index - 15

eISSN - 2228-835X

pISSN - 1686-3933

DOI - 10.48048/wjst.2019.6944

Subject(s) - riemann hypothesis , mathematics , context (archaeology) , polynomial , riemann zeta function , euler's formula , derivative (finance) , pure mathematics , mathematical analysis , paleontology , financial economics , economics , biology

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.

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