Naslov
Families of Identities for the Integer Partition Function

Autori
Martinjak, Ivica

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
6th Croatian Mathematical Congress / - Zagreb, 2016

Skup
6th Croatian Mathematical Congress

Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
partition function; Rogers-Ramanujan identities

Sažetak
We present recursive identities for the number of partitions with exactly $k$ parts and with constraints on both the minimal difference among the parts and the minimal part. Using these results we demonstrate that the number of partitions of $n$ is equal to the number of partitions of $2n+d{;n \choose 2};$ of length $n$, with $d$-distant parts. We also provide a direct proof for this identity. Joint work with D. Svrtan.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA