{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:52Z","timestamp":1753893832482,"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 2007, Olsson and Stanton determined the largest size of $(t_1,t_2)$-core partitions. Inspired by their result, there have been considerable research on the largest size of simultaneous core partitions. In this work, we compute the largest size of $(t,t+d,t+2d)$-core partitions for any coprime positive integers $t$ and $d$. This generalizes the result by Yang, Zhong, and Zhou, who proved the largest size of $(t,t+1,t+2)$-core partitions.<\/jats:p>","DOI":"10.37236\/13696","type":"journal-article","created":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T15:18:56Z","timestamp":1750346336000},"source":"Crossref","is-referenced-by-count":0,"title":["The Largest Size of $(t,t+d,t+2d)$-Core Partitions"],"prefix":"10.37236","volume":"32","author":[{"given":"Hyunsoo","family":"Cho","sequence":"first","affiliation":[]},{"given":"Kyeongjun","family":"Lee","sequence":"additional","affiliation":[]},{"given":"Hayan","family":"Nam","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2025,6,20]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v32i2p52\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v32i2p52\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T15:18:56Z","timestamp":1750346336000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v32i2p52"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,6,20]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025,4,11]]}},"URL":"https:\/\/doi.org\/10.37236\/13696","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2025,6,20]]},"article-number":"P2.52"}}