Factors of certain sums involving central \(q\)-binomial coefficients
From MaRDI portal
Publication:2057953
DOI10.1007/s13398-021-01192-3zbMath1495.11040arXiv2102.01861OpenAlexW3217165094MaRDI QIDQ2057953
Publication date: 7 December 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.01861
Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)
Related Items (3)
A new \(q\)-supercongruence modulo the fourth power of a cyclotomic polynomial ⋮ Further generalizations of four supercongruences of Rodriguez-Villegas ⋮ Generalizations of the (F.2) supercongruence of Van Hamme
Cites Work
- Unnamed Item
- Unnamed Item
- \(q\)-analogues of two ``divergent Ramanujan-type supercongruences
- On a congruence involving \(q\)-Catalan numbers
- Ramanujan-type supercongruences
- A \(q\)-analogue of a Ramanujan-type supercongruence involving central binomial coefficients
- A \(q\)-microscope for supercongruences
- Super congruences and Euler numbers
- Products and sums divisible by central binomial coefficients
- Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
- \(q\)-analogues of two Ramanujan-type supercongruences
- Some \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial
- A \(q\)-analogue of the (A.2) supercongruence of Van Hamme for primes \(p\equiv 1\pmod{4} \)
- A method for proving Ramanujan's series for \(1/\pi\)
- Some new \(q\)-congruences on double sums
- Polynomial reduction and supercongruences
- Congruences for \(q\)-binomial coefficients
- Congruences on sums of \(q\)-binomial coefficients
- Some symmetric \(q\)-congruences modulo the square of a cyclotomic polynomial
- Proof of Sun's conjectures on super congruences and the divisibility of certain binomial sums
- Factors of the Gaussian coefficients
- Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
- Divisibility of some binomial sums
- A $p$-adic supercongruence conjecture of van Hamme
- Ramanujan-type formulae for 1/π: q-analogues
- q-Analogues of two Ramanujan-type formulas for 1/π
- Some congruences involving fourth powers of central q-binomial coefficients
- Some variations of a ‘divergent’ Ramanujan-type q-supercongruence
- A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)
- A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES
- Generalized Powers
This page was built for publication: Factors of certain sums involving central \(q\)-binomial coefficients