On the divisibility of \(q\)-trinomial coefficients
From MaRDI portal
Publication:2688349
DOI10.1007/s11139-022-00558-4OpenAlexW3173842158MaRDI QIDQ2688349
Publication date: 2 March 2023
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13613
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Divisibility and factorizations in commutative rings (13A05)
Related Items (5)
Some supercongruences on \(q\)-trinomial coefficients ⋮ Some new results about 𝑞-trinomial coefficients ⋮ \(q\)-supercongruences from squares of basic hypergeometric series ⋮ Generalizations of the (F.2) supercongruence of Van Hamme ⋮ Two new 𝑞-supercongruences arising from Carlitz’s identity
Cites Work
- Unnamed Item
- Factors of some lacunary \(q\)-binomial sums
- \(q\)-analogs of some congruences involving Catalan numbers
- Congruences involving generalized central trinomial coefficients
- On a congruence involving \(q\)-Catalan numbers
- On supercongruences for truncated sums of squares of basic hypergeometric series
- Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients
- \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
- A \(q\)-microscope for supercongruences
- Super congruences and Euler numbers
- Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
- On the lacunary sum of trinomial coefficients
- Some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
- Some \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial
- Some \(q\)-supercongruences from a quadratic transformation by Rahman
- \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping
- Congruences for \(q\)-binomial coefficients
- Congruences on sums of \(q\)-binomial coefficients
- Euler's Ëxemplum Memorabile Inductionis Fallacis" and q-Trinomial Coefficients
- Supercongruences for polynomial analogs of the Apéry numbers
- q-Analogues of two Ramanujan-type formulas for 1/π
- A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES
- Congruence properties for the trinomial coefficients
- q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon
- Some finite generalizations of Euler's pentagonal number theorem
This page was built for publication: On the divisibility of \(q\)-trinomial coefficients
