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math.NT2024
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…
cs.SC2024
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…