<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Multiplicative-Functions on Jasper</title><link>https://jasper-aa64.github.io/tags/multiplicative-functions/</link><description>Recent content in Multiplicative-Functions on Jasper</description><generator>Hugo</generator><language>en-us</language><lastBuildDate>Tue, 28 Apr 2026 00:00:00 +0800</lastBuildDate><atom:link href="https://jasper-aa64.github.io/tags/multiplicative-functions/index.xml" rel="self" type="application/rss+xml"/><item><title>Number Theory #2: Multiplicative Functions, Möbius Inversion &amp; Dirichlet Convolution</title><link>https://jasper-aa64.github.io/posts/number-theory-2-multiplicative-functions/</link><pubDate>Tue, 28 Apr 2026 00:00:00 +0800</pubDate><guid>https://jasper-aa64.github.io/posts/number-theory-2-multiplicative-functions/</guid><description>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 Möbius inversion on posets.</description></item><item><title>Number Theory #4: Min_25 Sieve and Du Jiao Sieve</title><link>https://jasper-aa64.github.io/posts/number-theory-4-min25-du-jiao-sieve/</link><pubDate>Tue, 28 Apr 2026 00:00:00 +0800</pubDate><guid>https://jasper-aa64.github.io/posts/number-theory-4-min25-du-jiao-sieve/</guid><description>Min_25 sieve: theory, two complete examples, Lagrange interpolation for power sums. Du Jiao sieve: template, P3768, GCD sum, LCM sum.</description></item></channel></rss>