ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
From MaRDI portal
Publication:3011054
DOI10.1142/S1793042111004393zbMath1247.11027arXiv0709.1665MaRDI QIDQ3011054
Publication date: 27 June 2011
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.1665
Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)
Related Items
Supercongruences involving dual sequences ⋮ Elementary proof of congruences involving sum of binomial coefficients ⋮ Constant term evaluation and two kinds of congruence ⋮ Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\) ⋮ ON DIVISIBILITY OF BINOMIAL COEFFICIENTS ⋮ Binomial coefficients, roots of unity and powers of prime numbers ⋮ The \(p\)-adic valuations of sums of binomial coefficients ⋮ Congruences for Franel numbers ⋮ On congruences related to trinomial coefficients and harmonic numbers ⋮ Super congruences and Euler numbers ⋮ New congruences involving products of two binomial coefficients ⋮ Some new results about 𝑞-trinomial coefficients ⋮ ON THE DIVISIBILITY OF SUMS OF q-SUPER CATALAN NUMBERS ⋮ Binomial coefficients, Catalan numbers and Lucas quotients ⋮ Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials ⋮ \(q\)-analogs of some congruences involving Catalan numbers ⋮ On two conjectural supercongruences of Apagodu and Zeilberger ⋮ New series for powers of \(\pi\) and related congruences ⋮ On congruences related to central binomial coefficients ⋮ On some congruences involving trinomial coefficients ⋮ Proof of a q-congruence conjectured by Tauraso ⋮ Supercongruences involving Lucas sequences ⋮ Two triple binomial sum supercongruences ⋮ Congruences on sums of super Catalan numbers ⋮ Factors of alternating sums of powers of \(q\)-Narayana numbers ⋮ Some curious congruences modulo primes ⋮ Some \(q\)-congruences related to 3-adic valuations ⋮ New congruences for central binomial coefficients ⋮ Two congruences involving harmonic numbers with applications ⋮ Some congruences involving central \(q\)-binomial coefficients ⋮ On two congruence conjectures ⋮ On binomial coefficients modulo squares of primes ⋮ Proof of a conjecture of Adamchuk ⋮ Congruences on sums of \(q\)-binomial coefficients ⋮ Congruence properties for the trinomial coefficients ⋮ Congruences for the second-order Catalan numbers ⋮ On a congruence involving \(q\)-Catalan numbers ⋮ On a supercongruence conjecture of Z.-W. Sun
Uses Software
Cites Work
