On the parity of exponents in the factorization of \(n\)!

DOI10.1006/jnth.1997.2106zbMath0874.11025OpenAlexW2012164061MaRDI QIDQ1356233

Daniel Berend

Publication date: 8 June 1997

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

Full work available at URL: https://doi.org/10.1006/jnth.1997.2106

zbMATH Keywords

exponentsparityfactorials

Mathematics Subject Classification ID

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

Related Items (13)

Regularity of patterns in the factorization of n! ⋮ On the parity of exponents in the standard factorization of \(n!\) ⋮ On a divisibility problem ⋮ On polynomial-factorial diophantine equations ⋮ On the prime power factorization of \(n\)! ⋮ On the prime power factorization of \(n\)! ⋮ On the parity of exponents in the prime factorization of factorials ⋮ On the prime power factorization of \(n!\). II ⋮ The exponents in the prime decomposition of factorials ⋮ Prime-power factorization of binomial coefficients ⋮ On the exponents modulo 3 in the standard factorisation of n! ⋮ On a problem of Chen and Liu concerning the prime power factorization of 𝑛! ⋮ On the prime power factorization of \(n!\)

Cites Work

• The product of consecutive integers is never a power
• A combinatorial problem on finite Abelian groups. II
• Unnamed Item
• Unnamed Item

This page was built for publication: On the parity of exponents in the factorization of \(n\)!