{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T17:11:54Z","timestamp":1770916314757,"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>\u00a0Fix a partition $\\mu=(\\mu_1,\\dotsc,\\mu_m)$ of an integer $k$ and positive integer $d$.\u00a0For each $n&gt;k$, let $\\chi^\\lambda_\\mu$ denote the value of the irreducible character of $S_n$ at a permutation with cycle type $(\\mu_1,\\dotsc,\\mu_m,1^{n-k})$.\u00a0We show that the proportion of partitions $\\lambda$ of $n$ such that $\\chi^\\lambda_\\mu$ is divisible by $d$ approaches $1$ as $n$ approaches infinity.<\/jats:p>","DOI":"10.37236\/8693","type":"journal-article","created":{"date-parts":[[2020,4,3]],"date-time":"2020-04-03T03:55:53Z","timestamp":1585886153000},"source":"Crossref","is-referenced-by-count":2,"title":["On the Divisibility of Character Values of the Symmetric Group"],"prefix":"10.37236","volume":"27","author":[{"given":"Jyotirmoy","family":"Ganguly","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amritanshu","family":"Prasad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steven","family":"Spallone","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"23455","published-online":{"date-parts":[[2020,4,3]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i2p1\/8058","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v27i2p1\/8058","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,3]],"date-time":"2020-04-03T03:56:04Z","timestamp":1585886164000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v27i2p1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,3]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1,9]]}},"URL":"https:\/\/doi.org\/10.37236\/8693","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,4,3]]},"article-number":"P2.1"}}