Congruences for sums of binomial coefficients

DOI10.1016/j.jnt.2007.01.002zbMath1215.11013arXivmath/0502187OpenAlexW2019962543MaRDI QIDQ2466039

Roberto Tauraso, Zhi-Wei Sun

Publication date: 11 January 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502187

zbMATH Keywords

binomial coefficients

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (6)

Binomial coefficients, roots of unity and powers of prime numbers ⋮ Hamming weights of symmetric Boolean functions ⋮ On the \(p\)-adic properties of \(2\)-sected sums involving binomial coefficients ⋮ On sums of binomial coefficients and their applications ⋮ Congruences for certain lacunary sums of products of binomial coefficients ⋮ Partial sums of binomials, intersecting numbers, and the excess bound in Rosenbloom-Tsfasman space

Cites Work

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• PRIMES is in P
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• Values of Bernoulli polynomials
• It is easy to determine whether a given integer is prime
• A Congruence for Primes
• Norm residue symbol and cyclotomic units
• Fibonacci numbers and Fermat's last theorem
• A Special Congruence

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