Riemann zeta function definitions

Riemann zeta function

This function, as a function of a real argument, was introduced and studied by Leonhard Euler in the first half of the eighteenth century without using complex analysis, which was not available at that time. Bernhard Riemann in his article `On the Number of Primes Less Than a Given Magnitude` published in 1859 extended the Euler definition to a .....
Found on http://en.wikipedia.org/wiki/Riemann_zeta_function

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Riemann zeta function

function useful in number theory for investigating properties of prime numbers. Written as (), it was originally defined as the infinite series () = ... [6 related articles]
Found on http://www.britannica.com/eb/a-z/r/48

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Riemann zeta function

We may – paraphrasing the famous sentence of George Orwell – say that 'all mathematics is beautiful, yet some is more beautiful than the other.' But the most beautiful in all mathematics is the zeta function. There is no doubt about it. —Krzysztof Maslanka, Polish cosmologist ...
Found on http://www.daviddarling.info/encyclopedia/R/Riemann_zeta_function.html

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