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The Riemann Hypothesis, Explained
13, Aug, 2024
Time Stamps...
A glimpse into the mystery of the Riemann Hypothesis (
00:00
)
The world of prime numbers (
01:42
)
Carl Friedrich Gauss looks for primes, Prime Counting Function (
02:30
)
Logarithm Function and Gauss's Conjecture (
03:30
)
Leonard Euler and infinite series (
04:39
)
Euler and the Zeta Function (
06:30
)
Bernhard Riemann enters the prime number picture (
07:30
)
Imaginary and complex numbers (
08:18
)
Complex Analysis and the Zeta Function (
09:40
)
Analytic Continuation: two functions at work at once (
10:25
)
Zeta Zeros and the critical strip (
11:14
)
The critical line (
12:20
)
Why the Riemann's Hypothesis has a profound consequence to number theory (
12:51
)
Riemann's Hypothesis shows the distribution of prime numbers can be predicted (
13:04
)
The search for a proof of the Riemann Hypothesis (
14:59
)
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