Multiplicative Number Theory I

Montgomery, H. L., & Vaughan, R. C. (2010). Multiplicative Number Theory I: Classical Theory. Cambridge University Press.

Type

Book

Intellectual base

Review or monograph

Year

2010

Link

https://personal.science.psu.edu/rcv4/personal/Publications/MNTI/06.0_pp_35_75_The_elementary_theory_of_arithmetic_functions.pdf

Cited by

1 citation across 1 artifact.

Domain-specific

• Normal Order of an Arithmetic Function
  • The founding example is Hardy and Ramanujan's theorem that both \(\omega(n)\), the number of distinct prime factors, and \(\Omega(n)\), the number counted with multiplicity, have normal order \(\log\log n\).

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