Section:
New Results
Highlights of the Year
Two results are particularly important this year, our computer-checked
proof [11] of irrationality of and our new
algorithm [19] for the integration of multiple integrals.
The former is our first success in the merger between computer algebra and
formal methods, and stimulates further research in this direction around special
functions and creative telescoping. The latter has made a large class of
integrals possible in practice, thus allowing us to compute a challenging list
of integrals related to famous Calabi–Yau various; it has also received
attention by physicists.