Numerical methods for Eisenstein series - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T01:59:49Z http://mathoverflow.net/feeds/question/108383 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/108383/numerical-methods-for-eisenstein-series Numerical methods for Eisenstein series R. Rosenbaum 2012-09-29T03:50:37Z 2012-09-29T03:50:37Z <p>Are there any existing numerical libraries for Eisenstein series? In particular I am interested in calculating values of parabolic Eisenstein series on $SL(n,\mathbb Z) \setminus GL(n,\mathbb R) / (O(n,\mathbb R),\mathbb R^{\times})$. If no such libraries exist, might there be a formulation of the series which is more suitable for numerical computations? Ultimately I would like to be able to numerically calculate integrals whose integrand contain such Eisenstein series, which is why I am in search of more efficient methods.</p>