Lucas congruences for the Ap\'ery numbers modulo $p^2$

zbMath1470.11006arXiv2005.04801MaRDI QIDQ4987395

Reem Yassawi, Christian Krattenthaler, Eric S. Rowland

Publication date: 3 May 2021

Full work available at URL: https://arxiv.org/abs/2005.04801

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

Lucas’ Theorem Modulo p²

Cites Work

• Unnamed Item
• Automatic congruences for diagonals of rational functions
• Divisibility properties of sporadic Apéry-like numbers
• Mixed Tate motives over \(\mathbb{Z}\)
• Multivariate Apéry numbers and supercongruences of rational functions
• Some congruences for the Apéry numbers
• Some congruences for Apery numbers
• Multiple harmonic series
• A hypergeometric version of the modularity of rigid Calabi-Yau manifolds
• Proof of the gamma conjecture for Fano 3-folds of Picard rank 1
• Séries hypergéométriques multiples et polyzêtas

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