Congruence properties for \(\mathrm{bi}^s\)nomial coefficients and like extended Ram and Kummer theorems under suitable hypothesis
DOI10.1007/s00009-019-1457-0zbMath1439.11056OpenAlexW2998041951MaRDI QIDQ2295445
Oussama Igueroufa, Hacène Belbachir
Publication date: 13 February 2020
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-019-1457-0
generating functioncongruencesprime numbers\(p\)-adic representation\(\mathrm{bi}^s\)nomial coefficientsabsorption identity
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Primes (11A41)
Related Items (4)
Uses Software
Cites Work
- The Andrews-Gordon identities and \(q\)-multinomial coefficients
- A \(q\)-analogue for bi\(^{s}\)nomial coefficients and generalized Fibonacci sequences
- DETERMINING THE MODE FOR CONVOLUTION POWERS OF DISCRETE UNIFORM DISTRIBUTION
- Extended Pascal Triangles
- Restricted Occupancy Theory-A Generalization of Pascal's Triangle
- Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution
- Lucas's Theorem and Some Related Results for Extended Pascal Triangles
- The on-line encyclopedia of integer sequences
- Connection between bi s nomial coefficients and their analogs and symmetric functions
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