Crea sito
INFINITE SERIES


Prove that

n=-∞  (-1)n exp( - πn2 / 2) ,

where n is an interger, is equal to

(2/√π - 1) ∑n=-∞  exp( - πn2 / 2) .

Here π denotes the constant π=3.14159...

Marco Corvi - 2003