author = {Peter Paule and Silviu Radu},
title = {{Partition Analysis, Modular Functions, and Computer Algebra}},
language = {english},
abstract = {This article describes recent developments connecting problems of enumerative combinatorics, constrained by linear systems of Diophantine inequalities, with number theory topics like partitions, partition congruences, and q-series identities. Special emphasis is put on the role of computer algebra algorithms. The presentation is intended for a broader audience; to this end, elementary introductions to notions like modular functions and to algorithmic aspects of algebra are given.},
number = {15-14},
year = {2015},
howpublished = {In Recent Trends in Combinatorics, IMA Volume 511-543},
keywords = {modular functions, computer algebra},
length = {24},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}