101 citations · 629 across the 59 of their papers we have counts for
5 papers · 1 filter
The iterated integrals of ln(1 + x^2)
Tewodros Amdeberhan, Christoph Koutschan, Victor H. Moll +1
For a polynomial P, we consider the sequence of iterated integrals of ln P(x). This sequence is expressed in terms of the zeros of P(x). In the special case of ln(1 + x^2), arithme…
The SL_3 Jones polynomial of the trefoil: a case study of -holonomic sequences
Stavros Garoufalidis, Christoph Koutschan
The SL_3 colored Jones polynomial of the trefoil knot is a -holonomic sequence of two variables with natural origin, namely quantum topology. The paper presents an explicit set…
The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that Computed Ground States of Two-Electron Atoms (and its 2010 Redux)
Christoph Koutschan, Doron Zeilberger
In order to appreciate how well off we mathematicians and scientists are today, with extremely fast hardware and lots and lots of memory, as well as with powerful software, both fo…
A Fast Approach to Creative Telescoping
Christoph Koutschan
In this note we reinvestigate the task of computing creative telescoping relations in differential-difference operator algebras. Our approach is based on an ansatz that explicitly…
Proof of George Andrews's and David Robbins's q-TSPP Conjecture
Christoph Koutschan, Manuel Kauers, Doron Zeilberger
The conjecture that the orbit-counting generating function for totally symmetric plane partitions can be written as an explicit product formula, has been stated independently by Ge…