Binomial coefficients and the ring of $p$-adic integers

DOI10.1090/S0002-9939-2010-10587-7zbMath1267.11015arXiv0812.3089MaRDI QIDQ3003569

No author found.

Publication date: 27 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3089

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Other nonanalytic theory (11S85)

Related Items

FACTORS OF SUMS AND ALTERNATING SUMS INVOLVING BINOMIAL COEFFICIENTS AND POWERS OF INTEGERS, Factors of binomial sums from the Catalan triangle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A binomial coefficient congruence modulo prime powers
• Character sums and products of factorials modulo \(p\)
• An extension of Lucas’ theorem
• On sums of primes and triangular numbers