Term

Multiplicative-Functions

Index

All notes

2026.04.28

Number Theory #2: Multiplicative Functions, Möbius Inversion & Dirichlet Convolution

Multiplicative functions, single-point and linear-sieve evaluation; Möbius function, both forms of Möbius inversion with full derivations and examples; Dirichlet convolution, key identities, Du Jiao sieve; generalized …

#math #number-theory #multiplicative-functions #mobius-inversion #dirichlet-convolution

2026.04.28

Number Theory 13 min read

Number Theory #4: Min_25 Sieve and Du Jiao Sieve

Min_25 sieve: theory, two complete examples, Lagrange interpolation for power sums. Du Jiao sieve: template, P3768, GCD sum, LCM sum.

#math #number-theory #min25-sieve #du-jiao-sieve #multiplicative-functions