{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T15:39:11Z","timestamp":1763480351446,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>In this paper, we examine partitions $\\pi$ classified according to the number $r(\\pi)$ of odd parts in $\\pi$ and $s(\\pi)$ the number of odd parts in $\\pi\\prime$, the conjugate of $\\pi$.  The generating function for such partitions is obtained when the parts of $\\pi$ are all $\\leq N$.  From this a variety of corollaries follow including a Ramanujan type congruence for Stanley's partition function $t(n)$.<\/jats:p>","DOI":"10.37236\/1858","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:22:13Z","timestamp":1578720133000},"source":"Crossref","is-referenced-by-count":15,"title":["On a Partition Function of Richard Stanley"],"prefix":"10.37236","volume":"11","author":[{"given":"George E.","family":"Andrews","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2004,6,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2r1\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v11i2r1\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:02:40Z","timestamp":1579323760000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v11i2r1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,6,3]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2004,6,3]]}},"URL":"https:\/\/doi.org\/10.37236\/1858","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2004,6,3]]},"article-number":"R1"}}