Special values of L-functions (RH Saga S1E9)

This is the ninth episode of the RH Saga.

The philosophy of special values is that individual L-function values can hold deep and mysterious information about the underlying number-theoretic objects. Often, such values can be expressed in terms of periods.

The overall aim of RH Saga Season 1 is to map the landscape of L-functions, as a foundation for in-depth exploration of some of the most immortal math problems of all time.

This video is part of a PeakMath project.

---

Chapters:
00:00 - Intro
02:31 - Examples of special values
11:03 - What is a period?
14:31 - Riemann zeta again
18:53 - Final remarks

---

Links:

1. LMFDB:
https://www.lmfdb.org/

2. Riemann's Hypothesis, by Brian Conrey:
https://aimath.org/~kaur/publications...

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

---

Errata:

No errors found yet.

---

Social:

https://www.peakmath.org/

#RiemannHypothesis #F1Geometry #Mathematics #PeakMath #RHSaga #Langlands #BSD