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Riemann zeta function

The Riemann zeta function ζ is defined by

and is used in number theory to study the distribution of prime numbers.



For natural numbers you write the function as

and for complex numbers as



With this, the French nathematician Jean Baptiste Fourier calculated

With this, the Swiss mathematician Leonhard Euler calculated



The German mathematician Bernhard Riemann (1826 - 1866) defined the Zeta function.

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