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Analytic continuation

visualizing the Riemann hypothesis and analytic continuation by 3Blue1Brown (2016) is a good quick visual non-mathematical introduction is to it.

The key question is: how can this continuation be unique since we are defining the function outside of its original domain?

The answer is: due to the identity theorem.

Table of contents 147 4
- Visualizing the Riemann hypothesis and analytic continuation by 3Blue1Brown (2016) Analytic continuation 13
- Identity theorem Analytic continuation 96 2
  - Riemann zeta function Identity theorem 25 1
    - Riemann hypothesis Riemann zeta function 25

 Ancestors

 Incoming links

Identity theorem