{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T09:34:17Z","timestamp":1775468057427,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Given a set of positive integers $ A = \\{ a_{1} , \\dots , a_{n} \\} $, we study the number $ p_{A} (t) $ of nonnegative integer solutions $ \\left( m_{1} , \\dots , m_{n} \\right) $ to $ \\sum_{j=1}^{n} m_{j} a_{j} = t $. We derive an explicit formula for the polynomial part of $p_A$.<\/jats:p>","DOI":"10.37236\/1592","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:07:09Z","timestamp":1578708429000},"source":"Crossref","is-referenced-by-count":21,"title":["The Polynomial Part of a Restricted Partition Function Related to the Frobenius Problem"],"prefix":"10.37236","volume":"8","author":[{"given":"Matthias","family":"Beck","sequence":"first","affiliation":[]},{"given":"Ira M.","family":"Gessel","sequence":"additional","affiliation":[]},{"given":"Takao","family":"Komatsu","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2001,9,4]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v8i1n7\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v8i1n7\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T05:17:03Z","timestamp":1579324623000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v8i1n7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,9,4]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2001,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1592","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,9,4]]},"article-number":"N7"}}