A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Creative telescoping for rational functions using the griffiths
2013
Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation - ISSAC '13
Creative telescoping algorithms compute linear differential equations satisfied by multiple integrals with parameters. We describe a precise and elementary algorithmic version of the Griffiths-Dwork method for the creative telescoping of rational functions. This leads to bounds on the order and degree of the coefficients of the differential equation, and to the first complexity result which is simply exponential in the number of variables. One of the important features of the algorithm is that
doi:10.1145/2465506.2465935
dblp:conf/issac/BostanLS13
fatcat:i3zxw62hdbbppnuvjpbx4nsc4i