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 https://www.peakmath.org/

---

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
https://arxiv.org/pdf/1312.5160.pdf

2. "Riemann's Hypothesis" - Brian Conrey
https://tinyurl.com/conrey90

3. SageMathCell
https://sagecell.sagemath.org/

4. SageMath
https://www.sagemath.org/

5. SageMathCell permalink for Riemann spectrum code
https://tinyurl.com/e1-spectrum

6. SageMathCell permalink for cosine waves code
https://tinyurl.com/e1-cosine

---

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:

https://www.peakmath.org/

#RiemannHypothesis #F1Geometry #Mathematics #PeakMath #RHSaga