We give several conjectures that allow us to derive many series for {\small $ 1/ \pi$} and {\small $ 1/ \pi^2$}. These series include Ramanujan's series, as well as those associated with the Domb numbers and Apéry numbers. We have checked the conjectures numerically in many examples with a precision of two hundred digits.
Publié le : 2006-05-14
Classification:
Ramanujan series,
series for 1/π,
series for 1/π2,
Domb numbers,
Apéry numbers
@article{1150476906,
author = {Guillera, Jes\'us},
title = {A New Method to Obtain Series for $1 / \pi$ and $1 / \pi^2$},
journal = {Experiment. Math.},
volume = {15},
number = {1},
year = {2006},
pages = { 83-89},
language = {en},
url = {http://dml.mathdoc.fr/item/1150476906}
}
Guillera, Jesús. A New Method to Obtain Series for $1 / \pi$ and $1 / \pi^2$. Experiment. Math., Tome 15 (2006) no. 1, pp. 83-89. http://gdmltest.u-ga.fr/item/1150476906/