RISC JKU
  • @techreport{RISC5167,
    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},
    license = {CC BY 4.0 International},
    type = {RISC Report Series},
    institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
    address = {Altenberger Straße 69, 4040 Linz, Austria},
    issn = {2791-4267 (online)}
    }