Analytic combinatorics aims to enable precise quantitative predictions of the properties of
large combinatorial structures. The theory has emerged over recent decades as essential …

In theory there is no difference between theory and practice. In practice there is. Yogi Berra
A SINGULAR Introduction to Commutative Algebra offers a rigorous intro duction to …

[I] ntuition comes to us much earlier and with much less outside influence than formal
arguments which we cannot really understand unless we have reached a relatively high …

Part 1. Symbolic summation methods and applications Page 1 Séminaire Lotharingien de
Combinatoire 56 (2007), Article B56b SYMBOLIC SUMMATION ASSISTS COMBINATORICS …

The concrete tetrahedron Page 1 The Concrete Tetrahedron Manuel Kauers ∗ RISC Johannes
Kepler University 4040 Linz (Austria) mkauers@risc.jku.at ABSTRACT We give an overview …

Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

This is a complement to my previous article “Advanced Determinant Calculus”[C.
Krattenthaler, Advanced determinant calculus, Séminaire Lotharingien Combin. 42 …

A function of several variables is called holonomic if, roughly speaking, it is determined from
finitely many of its values via finitely many linear recursion relations with polynomial …

We extend Zeilberger's fast algorithm for definite hypergeometric summation to non-
hypergeometric holonomic sequences. The algorithm generalizes to the differential case …

We present a complete algorithm that computes all hypergeometric solutions of
homogeneous linear difference equations and rational solutions of parameterized linear …