Speiser’s Theorem on the Road
DOI:
https://doi.org/10.48048/wjst.2019.6944Keywords:
Riemann zeta-function, elliptic curve, Riemann hypothesis, Speiser’s Theorem, regular graphs, Gauss-Lucas theoremAbstract
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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