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Riemann Hypothesis Property for The Convergents of a Continued Fraction Expansion



Authors: Gogin Nikita, Hirvensalo Mika

Conference name: Polynomial Computer Algebra 2022

Publication year: 2022

Series title: Polynomial Computer Algebra '2022

Publication's open availability at the time of reporting: No Open Access

Publication channel's open availability : No Open Access publication channel


Abstract

We show that the denominators and numerators of convergents to a continued fraction both satisfy a Riemann Hypothesis property, meaning that their zeros lie in a perpendicular line in a complex plane.



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