Binomial coefficients, roots of unity and powers of prime numbers
From MaRDI portal
Publication:2147591
DOI10.1007/s40840-022-01266-4zbMath1495.11003arXiv2203.03281OpenAlexW4221017309WikidataQ114218432 ScholiaQ114218432MaRDI QIDQ2147591
Publication date: 20 June 2022
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.03281
Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Primes (11A41)
Cites Work
- Unnamed Item
- Congruences involving generalized central trinomial coefficients
- Proof of a conjectural supercongruence
- On the sum \(\sum_{k\equiv r\pmod m}{n\choose k}\) and related congruences.
- A binomial sum related to Wolstenholme's theorem
- Bernoulli numbers, Wolstenholme's theorem, and \(p^5\) variations of Lucas' theorem
- Two \(p^ 3\) variations of Lucas' theorem
- Lucas' theorem for prime powers
- Some curious congruences modulo primes
- Combinatorial congruences and \(\psi\)-operators
- A binomial coefficient congruence modulo prime powers
- A note on primality tests for \(N=h\cdot 2^ n-1\)
- On some properties of the number of permutations being products of pairwise disjoint \(d\)-cycles
- Congruences for sums of binomial coefficients
- On Wolstenholme's theorem and its converse
- On sums of binomial coefficients modulo p2
- A note on the congruence $$\left( {_{mp^k }^{np^k } } \right) \equiv \left( {_m^n } \right)$$ (mod p r )
- ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
- A search for Fibonacci-Wieferich and Wolstenholme primes
- Combinatorial congruences modulo prime powers
- A Really Trivial Proof of the Lucas-Lehmer Test
- On the converse of Wolstenholme's Theorem
- A Congruence for Primes
- Some congruences involving binomial coefficients
- Polynomial extension of Fleck's congruence
This page was built for publication: Binomial coefficients, roots of unity and powers of prime numbers
