AI 中文总结
研究涉及勒让德多项式与类阿佩里数的恒等式，通过建立恒等式推导出新的超级同余式。
AI 中文摘要
本文建立了一些涉及勒让德多项式和第一类类阿佩里数的奇妙恒等式，并由此推导出许多新的超级同余式。
英文摘要
In this paper, we establish some curious identities involving Legendre polynomials and the first kind of Apéry-like numbers. As applications, many new supercongruences are deduced.
Comments25 pages
