Supercongruences for the Catalan-Larcombe-French numbers
Frazer Jarvis, Helena Verrill
TL;DR
This paper extends the theory of supercongruences to the Catalan-Larcombe-French sequence and explores applications to other related sequences.
Contribution
It introduces a new application of supercongruence theory to the Catalan-Larcombe-French numbers and related sequences.
Findings
Established supercongruences for the Catalan-Larcombe-French sequence.
Derived new congruence relations for related sequences.
Extended the Stienstra-Beukers framework to new mathematical contexts.
Abstract
We develop the Stienstra-Beukers theory of supercongruences in the setting of the Catalan-Larcombe-French sequence. We also give some applications to other sequences.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Algebra and Geometry