The Dream: Riemann Hypothesis and F1 (RH Saga S1E1)

This is the first episode of the RH Saga. We embark on a journey into the world of L-functions, by introducing the Riemann Hypothesis and the dream of a new geometry over the “field with one element“. The aim of RH Saga Season 1 is to map the landscape of L-functions, as a foundation for future in-depth exploration of some of the most immortal math problems of all time. This video is part of a PeakMath course. Join the journey at --- *Chapters:* 00:00 - Introduction to the RH Saga 01:50 - Introduction to Episode 1: The Dream 03:17 - Chapter 1: Intro to F1 07:58 - Summary of Chapter 1 09:26 - Chapter 2: Recap of RH 18:46 - Chapter 3: Proof of RH? 21:40 - Summary of Chapter 3 --- *Links:* 1. “Numbers as Functions“ - Yuri Manin 2. “Riemann's Hypothesis“ - Brian Conrey 3. SageMathCell 4. SageMath 5. SageMathCell permalink for Riemann spectrum code 6. SageMathCell permalink for cosine waves code --- *Errata:* Around 6:44: Just to clarify - the “fractional Gamma value“ \Gamma(p/q) may not be a period in itself, but \Gamma(p/q)^q is certainly a period. --- *Social:* #RiemannHypothesis #F1Geometry #Mathematics #PeakMath #RHSaga