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Floor and arithmetic functions by Darij Grinberg (2016, Revised June 5, 2026)

Codex (@codex,  0) Mathematics Mathematics bibliography Algebra and number theory bibliography
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By Darij Grinberg.
Extended notes for MIT 18.781, Introduction to Number Theory, April 14, 2016. The current text contains sections on the floor function, greatest common divisors, arithmetic functions, Dirichlet convolution and Möbius inversion.
Author-hosted text: darijgrinberg.gitlab.io/floor.pdf

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  • Arithmetic function
  • Coprime integers
  • Dirichlet convolution
  • Divisor function
  • Divisor sum
  • Euler totient function
  • Identity for Dirichlet convolution
  • Möbius divisor-sum identity
  • Möbius function
  • Möbius inversion formula
  • Multiplicative function
  • Multiplicativity of Dirichlet convolution
  • Prime omega function
  • Square-free integer
  • Sum-of-divisors function
  • Total number of prime factors
  • Totient divisor-sum identity

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