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On the largest prime factor of the partition function of \(n\)

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Publication:693027
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DOI10.1007/s11139-011-9346-6zbMath1286.11158OpenAlexW2078815166MaRDI QIDQ693027

Florian Luca

Publication date: 7 December 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-011-9346-6

zbMATH Keywords

partition functionlargest prime factor


Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Distribution of integers with specified multiplicative constraints (11N25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items

A REMARK ON PRIME DIVISORS OF PARTITION FUNCTIONS



Cites Work

  • Unnamed Item
  • On divisors of Lucas and Lehmer numbers
  • Multiplicative properties of the partition function
  • Approximate formulas for some functions of prime numbers
  • Existence of primitive divisors of Lucas and Lehmer numbers
  • An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
  • Arithmetic properties of Apéry numbers
  • A lower bound for linear forms in logarithms
  • Modular functions and transcendence questions
  • A new proof of Szemerédi's theorem
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