{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T01:38:52Z","timestamp":1774489132789,"version":"3.50.1"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Let $ped(n)$ denote the number of partitions of an integer $n$ wherein\u00a0even parts are\u00a0distinct. Recently, Andrews, Hirschhorn and Sellers, Chen, and Cui and Gu have derived a number of interesting congruences modulo 2, 3 and 4 for $ped(n)$.\u00a0In this paper we prove several new infinite families\u00a0of congruences modulo 8 for $ped(n)$. For example, we prove that for\u00a0$ \\alpha \\geq 0$ and $n\\geq 0$,\\[\u00a0ped\\left(3^{4\\alpha+4}n+\\frac{11\\times 3^{4\\alpha+3}-1}{8}\\right)\\equiv 0\u00a0\\\u00a0 ({\\rm mod \\ 8}).\\]<\/jats:p>","DOI":"10.37236\/4036","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T00:54:14Z","timestamp":1578704054000},"source":"Crossref","is-referenced-by-count":9,"title":["New Infinite Families of Congruences Modulo 8 for Partitions with Even Parts Distinct"],"prefix":"10.37236","volume":"21","author":[{"given":"Ernest X. W.","family":"Xia","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2014,10,9]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p8\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p8\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T10:43:44Z","timestamp":1579257824000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i4p8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,9]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2014,10,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4036","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10,9]]},"article-number":"P4.8"}}