Chapter
Understanding Analytic Number Theory
36:04 - 40:25 (04:21)
The intricacies of analytic number theory can be daunting, but the Princeton Companion to Math offers a great introduction for those with a college-level background in math. Explained through formulas like the convergence of infinite series, analytic number theory involves the study of primes and their positioning within number sequences.
Clips
The things that are most beautiful are often the ones that we have a partial understanding of, but not a full comprehension, like the elegant equation that includes all prime numbers.
36:04 - 38:18 (02:14)
Summary
The things that are most beautiful are often the ones that we have a partial understanding of, but not a full comprehension, like the elegant equation that includes all prime numbers.
ChapterUnderstanding Analytic Number Theory
EpisodeGrant Sanderson: 3Blue1Brown and the Beauty of Mathematics
PodcastLex Fridman Podcast
The Princeton Companion to Math has a great article on analytic number theory, which could help people with a math background familiarize themselves with the concept behind the Riemann Hypothesis.
38:18 - 40:25 (02:07)
Summary
The Princeton Companion to Math has a great article on analytic number theory, which could help people with a math background familiarize themselves with the concept behind the Riemann Hypothesis. However, the intuition behind the Fourier transform is crucial to grasp the exact relation between the zeros of the Riemann zeta function and their significance in the prime number distribution.