Сибирский федеральный университет

One of the greatest advances in combinatorics was Egorychev's approach to evaluation sums by converting them into multi-contour integrals. This bridge turned out to be very important, and can be crossed both ways.

Thanks to so-called Wilf-Zeilberger algorithmic proof theory, one can nowadays evaluate mechanically, many combinatorial sums and integrals.

There are many techniques for evaluating (symbolic) determinants, but converting them to integrals, can yield surprising bonuses.