Prerequisites for this post: definition of Dirichlet convolution, and big $latex {O}&fg=000000$-notation. Normally I don't like to blog about something until I'm pretty confident that I have a reasonably good understanding of what's happening, but I desperately need to sort out my thoughts, so here I go\dots 1. Primes One day, an alien explorer lands… Continue reading von Mangoldt and Zeta