Prime numbers and the Riemann hypothesis
by Barry Mazur · first published 2015
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I recently gifted Illustrated Theory of Numbers to a friend, and it is indeed beautifully illustrated. I would also recommend "Prime Numbers and the Riemann Hypothesis" for its illustrations and exposition [1]. [1] https://www.amazon.com/gp/product/1107499437
on “Ask HN: Recommend a maths book for a teenager?” ↗Very good post! For an excellent introduction to the prime number theorem (and the Riemann Hypothesis), I recommend Prime Numbers and the Riemann Hypothesis, by Barry Mazur and William Stein. It is structured in small chapters, each illuminating one idea, and I find this fantastic.
on “Our Trip to Prime Number Theorem (2021)” ↗…this is a machine with input a function very close to prime counts, and outputs info about zeta zeros. And the machine is Fourier transform. [1] https://en.wikipedia.org/wiki/Von_Mangoldt_function [2] Prime numbers and the Riemann hypothesis. Mazur, Stein
on “What does the Riemann zeta function have to do with the distribution of primes?” ↗