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Zeta Explained #68: Turing's Method of Verifying the Riemann Hypothesis (1953–Present)
This is the 68th video in a series explaining the Riemann zeta function. The idea of the series is to start with basics and eventually work our way to advanced topics. We follow the text "Riemann's Zeta Function" by H.M. Edwards.
This particular video covers section 8.2 from "Riemann's Zeta Function" by H.M. Edwards. We examine Turing's method for checking S(T) at Gram points, and some math background to get there.
00:00 - Background
09:00 - Animations (Background)
12:10 - Gram's Law
21:16 - Turing's Method
34:52 - S(T) near a hypothetical violation of the Riemann Hypothesis
Видео Zeta Explained #68: Turing's Method of Verifying the Riemann Hypothesis (1953–Present) канала Zeta Explained
This particular video covers section 8.2 from "Riemann's Zeta Function" by H.M. Edwards. We examine Turing's method for checking S(T) at Gram points, and some math background to get there.
00:00 - Background
09:00 - Animations (Background)
12:10 - Gram's Law
21:16 - Turing's Method
34:52 - S(T) near a hypothetical violation of the Riemann Hypothesis
Видео Zeta Explained #68: Turing's Method of Verifying the Riemann Hypothesis (1953–Present) канала Zeta Explained
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Информация о видео
24 апреля 2026 г. 17:01:24
00:37:58
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Zeta Explained #81: Divisor Functions and Dirichlet Series
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Zeta Explained #11: The Laurent Series of the Zeta Function at s=1
Zeta Explained #83: Using Zeta to Solve Arithmetic Identities
Zeta Explained #48: Proof of the Prime Number Theorem
Zeta Explained #30: The Riemann–Siegel Z Function Under the Riemann Hypothesis
Zeta Explained #41: Riemann's Second Proof of the Functional Equation (via Jacobi Theta Functions)
Zeta Explained #24: An Approximate Functional Equation for Zeta
Zeta Explained #60: Hardy's Proof of Infinitely Many Zeros on Critical Line
Zeta Explained #28: The Prime Number Theorem (2/2)
Zeta Explained #35: Diophantine Approximation
Zeta Explained #66: Edwards' Speculation on the Riemann Hypothesis
