What Is the Riemann Hypothesis?

Explore the intriguing world of the Riemann Hypothesis in this 30-minute video that delves into convergent and divergent series, Euler's solution to the Basel problem, and the Riemann-Zeta function. Discover the concept of analytic continuation, ponder the sum of positive integers, and gain insights into one of mathematics' most famous unsolved problems. Learn about domain stretching, convergence, and divergence while following along with examples from John Derbyshire's book 'Prime Obsession'. Uncover the mysteries surrounding this fundamental mathematical concept and its implications for number theory and beyond.

The Riemann Hypothesis
What is the maximum overhang?
Does it Diverge?
Back to Jenga...
What next?
Leonard Euler to the RESCUE!
Two Tricks
Euler's Magical solutions
What about odd powers?
The Riemann-Zeta Function
Convergence and Divergence
Aside: Domain Stretching
Domain Stretching the Zeta Function
Analytic Continuation
A burning question...