Primes as Sums of Fibonacci Numbers

Lukas Spiegelhofer; Michael Drmota; Clemens Müllner

Primes as Sums of Fibonacci Numbers

Titel in Übersetzung: Darstellung von Primzahlen als Summe von Fibonacci-Zahlen

Lukas Spiegelhofer, Michael Drmota, Clemens Müllner

Lehrstuhl für Mathematik, Statistik und Geometrie (380)

Technische Universität Wien

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Begutachtung

Abstract

We prove that, for a large enough integer k, there exist prime numbers that are the sum of exactly k different, non-consecutive Fibonacci numbers.
Along the way, we prove that the level of distribution of the Zeckendorf sum-of-digits function equals 1.

Titel in Übersetzung	Darstellung von Primzahlen als Summe von Fibonacci-Zahlen
Originalsprache	Englisch
Seitenumfang	135
Fachzeitschrift	Memoirs of the American Mathematical Society
Publikationsstatus	Angenommen/In Druck - 1 Sept. 2022

Zugriff auf Dokument

https://arxiv.org/abs/2109.04068Lizenz: Andere

Dieses zitieren

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