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. Support future PeakMath projects here: https://ko-fi.com/peakmath
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*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
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*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
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*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.
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*Social:*
https://www.peakmath.org/
#RiemannHypothesis #F1Geometry #Mathematics #PeakMath #RHSaga