Divisibility of certain sums involving central \(q\)-binomial coefficients
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Publication:6635545
DOI10.1216/RMJ.2024.54.1291MaRDI QIDQ6635545
Publication date: 12 November 2024
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65)
Cites Work
- Title not available (Why is that?)
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- Modular equations and approximations to \(\pi\).
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- Factors of certain sums involving central \(q\)-binomial coefficients
- Some \(q\)-supercongruences from a quadratic transformation by Rahman
- Further \(q\)-analogues of the (G.2) supercongruence of Van Hamme
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- A method for proving Ramanujan's series for \(1/\pi\)
- Congruences for \(q\)-binomial coefficients
- Some symmetric \(q\)-congruences modulo the square of a cyclotomic polynomial
- Factors of the Gaussian coefficients
- Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series
- \(q\)-supercongruences from gasper and Rahman's summation formula
- Proofs of Guo and Schlosser's two conjectures
- Divisibility of some binomial sums
- Von den Coefficienten der Reihen von Kugelfunctionen einer Variablen.
- A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4)
- Two curious \(q\)-supercongruences and their extensions
- Proof of two conjectures of Guo and of Tang
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