https://riemannhypothesis.blog/tags/infinity/ Recent content in Infinity on Understanding the Riemann Hypothesis Hugo -- gohugo.io en markus@recommend.games (Markus Shepherd) markus@recommend.games (Markus Shepherd) Sun, 23 Feb 2014 10:38:53 +0000 https://riemannhypothesis.blog/2014/02/infinity-is-worth-no-more-than-112/ Sun, 23 Feb 2014 10:38:53 +0000markus@recommend.games (Markus Shepherd) https://riemannhypothesis.blog/2014/02/infinity-is-worth-no-more-than-112/ On 16 January 1913, a confused manuscript reached the famous mathematician G. H. Hardy in Cambridge. Other researchers have received similar letters before, and rejected it due to the seemingly incoherent formulae mixed with trivial mathematical results. Professional mathematicians are used to receiving manuscripts by amateurs who believe to have solved famous problems, but this particularly odd scribble caught the eye: \[ 1+2+3+4+5+6+\ldots+\infty=-\frac{1}{12} \] Did this amateur mathematician really think that the sum of all natural numbers, a value that will exceed any given boundary at some point, will wind up being a negative fraction?