Riemann Hypothesis Property for The Convergents of a Continued Fraction Expansion - UTU Tutkimustietojärjestelmä

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Riemann Hypothesis Property for The Convergents of a Continued Fraction Expansion

Tekijät: Gogin Nikita, Hirvensalo Mika

Konferenssin vakiintunut nimi: Polynomial Computer Algebra 2022

Julkaisuvuosi: 2022

Sarjan nimi: Polynomial Computer Algebra '2022

Tiivistelmä

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.