the sum of all positive integers is -1/12, and other such nonsense Sure sure, but do know that a lot of all that hacky regularization stuff can be made mathema

the sum of all positive integers is -1/12, and other such nonsense Sure sure, but do know that a lot of all that hacky regularization stuff can be made mathematically sound after all --see for instance [1,2]. [1] http://www.maths.qmul.ac.uk/~tp/talks/casimir.pdf#page55 http://www.maths.qmul.ac.uk/~tp/talks/casimir.pdf#page55 [2] http://terrytao.wordpress.com/2010/04/10/the-euler-maclaurin-formula-bernoulli-numbers-the-zeta-function-and-real-variable-analytic-continuation/ http://terrytao.wordpress.com/2010/04/10/the-euler-maclaurin...