George E. Andrews, Peter Paule,
"MacMahon's Partition Analysis XIV: Partitions with n copies of n"
, Serie RISC Report Series, Johannes Kepler University Linz, Austria, Nummer 22-14, RISC, JKU, Linz, Hagenberg, 10-2022
Original Titel:
MacMahon's Partition Analysis XIV: Partitions with n copies of n
Sprache des Titels:
Englisch
Original Kurzfassung:
We apply the methods of partition analysis to partitions with~$n$ copies of~$n$. This allows us to obtain multivariable generating functions related to classical Rogers-Ramanujan type identities. Also, partitions with $n$ copies of $n$ are extended to partition diamonds yielding numerous new results including a natural connection to overpartitions and a variety of partition congruences.
Sprache der Kurzfassung:
Englisch
Veröffentlicher:
RISC, JKU
Verlagsanschrift:
Linz, Hagenberg
Serie:
RISC Report Series, Johannes Kepler University Linz, Austria
Forschungs-