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arXiv · 2607.12330

Curious identities involving Legendre polynomials and Ap\'ery-like numbers

Li-Li Cui·Zhi-Hong Sun
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Abstract

In this paper, we establish some curious identities involving Legendre polynomials and the first kind of Ap\'ery-like numbers. As applications, many new supercongruences are deduced.

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Li-Li Cui, Zhi-Hong Sun. 2026-07-14. Curious identities involving Legendre polynomials and Ap\'ery-like numbers. https://arxiv.org/abs/2607.12330

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