On the exponent average of integer sequences

DOI10.1007/BF01585914zbMath0835.11009OpenAlexW2080817428MaRDI QIDQ1902525

Jürgen Sander

Publication date: 16 April 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178699

zbMATH Keywords

divisor functionbinomial coefficientsnumber of distinct prime factorsalmost squarefreeasymptotic exponent averageexponent averagenumber of prime factors counted with multiplicities

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

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• On divisors of binomial coefficients. I
• On numbers with a large prime power factor
• Topics in multiplicative number theory
• Über einige arithmetische Summen. (On some arithmetical sums)
• Prime power divisors of binomial coefficients.
• An asymptotic formula for a ‐th powers dividing binomial coefficients
• On primes not dividing binomial coefficients
• On the Factorization of Integers
• Primes in short intervals
• Primes in short intervals

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