Pregled bibliografske jedinice broj: 728615
New Identities for the Polarized Partitions and Partitions with d-Distant Parts
New Identities for the Polarized Partitions and Partitions with d-Distant Parts // Journal of integer sequences, 17 (2014), 11; 14.11.4, 9 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 728615 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
New Identities for the Polarized Partitions and Partitions with d-Distant Parts
Autori
Martinjak, Ivica ; Svrtan, Dragutin
Izvornik
Journal of integer sequences (1530-7638) 17
(2014), 11;
14.11.4, 9
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
partition identity ; direct bijection ; Durfee square ; Rogers- Ramanujan identity
Sažetak
In this paper we present a new class of integer partition identities. The number of partitions with d-distant parts can be written as a sum of the numbers of partitions of various lengths with 1-distant parts whose even parts, if there are any, are greater than twice the number of odd parts. We also provide a direct bijection between these classes of partitions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
