{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T09:13:58Z","timestamp":1760346838669,"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>The goal of this paper is to prove two new congruences involving 4\u2013cores using elementary techniques; namely, if $a_4(n)$ denotes the number of 4\u2013cores of $n$, then $a_4(9n+2)\\equiv 0$ (mod 2) and $a_4(9n+8)\\equiv 0$ (mod 4).<\/jats:p>","DOI":"10.37236\/1268","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:52:02Z","timestamp":1578707522000},"source":"Crossref","is-referenced-by-count":18,"title":["Two Congruences Involving 4-cores"],"prefix":"10.37236","volume":"3","author":[{"given":"Michael","family":"Hirschhorn","sequence":"first","affiliation":[]},{"given":"James A.","family":"Sellers","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1995,6,30]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i2r10\/comment","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i2r10\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T09:31:39Z","timestamp":1579339899000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v3i2r10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,6,30]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[1996,1,24]]}},"URL":"https:\/\/doi.org\/10.37236\/1268","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[1995,6,30]]},"article-number":"R10"}}