New congruences involving Ap\'ery-like numbers
Zhi-Hong Sun
TL;DR
This paper introduces numerous new congruences for Apéry-like sequences, expanding the understanding of their arithmetic properties and relationships.
Contribution
It provides new congruences for various Apéry-like sequences, contributing to the number theory literature.
Findings
Several new congruences for Apéry-like sequences
Enhanced understanding of their arithmetic properties
Potential implications for related mathematical conjectures
Abstract
In this paper we present many congruences for several Ap\'ery-like sequences.
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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Combinatorial Mathematics · Analytic Number Theory Research