On congruences related to central binomial coefficients
From MaRDI portal
Publication:640035
DOI10.1016/j.jnt.2011.04.004zbMath1261.11019arXiv0911.2415OpenAlexW2963143708MaRDI QIDQ640035
Publication date: 12 October 2011
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.2415
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Sums of squares and representations by other particular quadratic forms (11E25) Congruences; primitive roots; residue systems (11A07)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Binomial coefficients, Catalan numbers and Lucas quotients
- On Delannoy numbers and Schröder numbers
- Padé approximations to the logarithm. III: Alternative methods and additional results
- New congruences for central binomial coefficients
- Some congruences involving central \(q\)-binomial coefficients
- Congruences concerning Bernoulli numbers and Bernoulli polynomials
- A combinatorial identity with application to Catalan numbers
- ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
- Binomial Coefficients and Jacobi Sums
- Limits of zeros of polynomial sequences
- p-adic valuations of some sums of multinomial coefficients