Power-partible reduction and congruences for Schröder polynomials
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Publication:6619539
DOI10.1007/S13398-024-01659-ZzbMATH Open1548.11013MaRDI QIDQ6619539
Chen-Bo Jia, Rong-Hua Wang, Michael X. X. Zhong
Publication date: 16 October 2024
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83)
Cites Work
- A supercongruence involving Delannoy numbers and Schröder numbers
- Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\)
- Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials
- Congruences involving generalized central trinomial coefficients
- A Stern-type congruence for the Schröder numbers
- On Delannoy numbers and Schröder numbers
- On divisibility of sums of Apéry polynomials
- A fast algorithm for proving terminating hypergeometric identities
- A holonomic systems approach to special functions identities
- The method of creative telescoping
- Arithmetic properties of Delannoy numbers and Schröder numbers
- A \(q\)-microscope for supercongruences
- On two supercongruences for sums of Apéry-like numbers
- Polynomial reduction and supercongruences
- Further generalizations of four supercongruences of Rodriguez-Villegas
- On sums involving products of three binomial coefficients
- On congruences involving Apéry numbers
- Supercongruences involving products of three binomial coefficients
- Generalizations of the (F.2) supercongruence of Van Hamme
- Polynomial reduction for holonomic sequences and applications in \(\pi\)-series and congruences
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