"A Friendly Introduction to the Riemann Hypothesis." (n.d.): n.
And so the Riemann Hypothesis was born!
Riemann came up with a new function called ζ(s) that equaled Z(s), but with the important difference that s could equal any number except 1.
History of the Hypothesis
Attempts to Prove/Disprove
Thus Riemann did not succeed in proving his famous Hypothesis.
He was a German National
He studied at The University of Göttingen and the University of Berlin
His mother died when he was young
Although he was brilliant, he often suffered from anxiety, shyness, and timidity and was also prone to mental breakdowns and was afraid to speak in public Notable achievements: Riemann Sums and Riemann Integrals
He was the inspiration for "Alice's Adventures in Wonderland" and "Through the Looking Glass This function was first recognized by Euler, but Riemann studied it further and used it as the foundation for his hypothesis
Some values of the function have been found; for values of s that are even, pi is involved in the output, but it has not been shown what the output is for values of s that are odd Why Should We Care?
The Riemann Hypothesis | Mathematical Association of …
The significance of this is that the (with which the Riemann Hypothesis is intimately linked) employs complex dimensions and generates many results that have no strict meaning in quantitative terms.
Riemann Hypothesis in a Nutshell - Vancouver Island …
So a major philosophical dilemma - which is central to difficulties in unravelling the Riemann Hypothesis - is that Conventional Mathematics still attempts to interpret complex numbers through a qualitative approach that is solely real.
Numbers of the World | Understanding the Riemann Hypothesis
So the Riemann Zeta Function thereby represents the sum of terms - that first appeared in the harmonic series - when raised to powers (dimensions) that have complex values.