A supercongruence fantasy on Fibonacci and Lucas (after Guillera)

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Wadim Valentinovich Zudilin
DOI: 10.48550/arxiv.2602.06679
Cited by: 0

Abstract

Motivated by observations of Guillera we generalise the so-called Ramanujan-type supercongruences to a further level in which the sequences of Fibonacci, Lucas, Apéry numbers and their friends all receive a natural appearance.

Fields of Study & Subjects

Advanced Mathematical Identities Analytic Number Theory Research Advanced Mathematical Theories and Applications

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Document type
Preprint