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Prime-power factorization of binomial coefficients

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Publication:5220103
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DOI10.4064/aa180814-10-4zbMath1436.11094OpenAlexW3005171232MaRDI QIDQ5220103

Grigori Kolesnik, Daniel Berend

Publication date: 10 March 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa180814-10-4


zbMATH Keywords

\(q\)-additive functionsbinomial coefficientsCatalan numbersfactorialsuniform distribution in arithmetic progressions


Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Well-distributed sequences and other variations (11K36) Special sequences (11K31)





Cites Work

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  • Regularity of patterns in the factorization of n!
  • Joint distribution of completely \(q\)-additive functions in residue classes
  • On the joint distribution of \(q\)-additive functions in residue classes
  • On the parity of exponents in the factorization of \(n\)!
  • On the parity of exponents in the standard factorization of \(n!\)
  • On the prime power factorization of \(n!\)
  • WHAT IS...Benford's Law?
  • Divisors of the Middle Binomial Coefficient
  • Perfect Numbers with Identical Digits
  • On the prime power factorization of \(n\)!
  • On the parity of exponents in the prime factorization of factorials




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