The Generalized Riemann Hypothesis (RH Saga S1E3) скачать в хорошем качестве

The Generalized Riemann Hypothesis (RH Saga S1E3)

This is the third episode of the RH Saga Support PeakMath on Ko-fi! https://ko-fi.com/peakmath We continue our journey by considering the zeros of L-functions beyond the Riemann zeta function. The location of these zeros is the subject of the generalized Riemann hypothesis. The story of these zeros also give a first indication of the general relationship between prime numbers and L-functions. The overall 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. --- Chapters: 00:00 - Intro 02:00 - Review of examples 05:04 - Analytic continuation 12:39 - Zeros in the critical strip 16:44 - Cosine waves 21:35 - Final remarks --- Links: 1. LMFDB https://www.lmfdb.org/ 2. "The Music of the Primes" on Amazon UK: https://www.amazon.co.uk/Music-Primes... --- Errata: The integral written at approx. 11:00 has a slight mistake. Instead of the number 2, the variable s should be used inside the sine function in the integrand. Correction displayed on screen at 11:20. --- Social: https://www.peakmath.org/ #RiemannHypothesis #F1Geometry #Mathematics #PeakMath #RHSaga #Langlands