On the residues of binomial coefficients and their products modulo prime powers

DOI10.1007/s101140100144zbMath1026.11005OpenAlexW1967480750MaRDI QIDQ1862879

Andrew Granville, Tian Xin Cai

Publication date: 10 April 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140100144

zbMATH Keywords

binomial coefficientsrecognizing primes

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Power residues, reciprocity (11A15)

Related Items

AN EXTENSION OF SURY’S IDENTITY AND RELATED CONGRUENCES, RECOGNIZING THE PRIMES USING PERMUTATIONS, A note on the congruences with sums of powers of binomial coefficients, Complex Hadamard matrices, instantaneous uniform mixing and cubes, A generalization of Morley's congruence, On \(p\)-rationality of \(\mathbb{Q}(\zeta_{2l+1})^+\) for Sophie Germain primes \(l\), Some congruences with $q-$binomial coefficients and $q-$harmonic numbers, Unnamed Item, A primality criterion based on Lucas’ congruence

Cites Work

• Diophantine Representation of the Set of Prime Numbers
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