Open AccessSpeiser’s Theorem on the Road
Author(s) -
Janyarak Tongsomporn,
Jörn Steuding
Publication year - 2019
Publication title -
walailak journal of science and technology
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.