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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