5 citations · 17 across the 9 of their papers we have counts for
10 papers
Algebraic geometric framework of Rogers--Ramanujan identities
Yifeng Huang, Kenny Lau, Ken Ono +1
The Rogers--Ramanujan identities equate a -series whose exponents are governed by a quadratic form with an infinite product supported on two residue classes modulo~. Identiti…
Asymptotics for the reciprocal and shifted quotient of the partition function
Koustav Banerjee, Peter Paule, Cristian-Silviu Radu +1
Let denote the partition function. In this paper our main goal is to derive an asymptotic expansion up to order (for any fixed positive integer ) along with estimates…
Creative Telescoping for Hypergeometric Double Sums
Peter Paule, Carsten Schneider
We present efficient methods for calculating linear recurrences of hypergeometric double sums and, more generally, of multiple sums. In particular, we supplement this approach with…
Error bounds for the asymptotic expansion of the partition function
Koustav Banerje, Peter Paule, Cristian-Silviu Radu +1
Asymptotic study on the partition function began with the work of Hardy and Ramanujan. Later Rademacher obtained a convergent series for and an error bound was given…
Towards a symbolic summation theory for unspecified sequences
Peter Paule, Carsten Schneider
The article addresses the problem whether indefinite double sums involving a generic sequence can be simplified in terms of indefinite single sums. Depending on the structure of th…
Holonomic Tools for Basic Hypergeometric Functions
Christoph Koutschan, Peter Paule
With the exception of q-hypergeometric summation, the use of computer algebra packages implementing Zeilberger's "holonomic systems approach" in a broader mathematical sense is les…