{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:58:59Z","timestamp":1760061539521,"version":"3.41.2"},"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>We prove an explicit formula for the number of $n \\times n$ upper triangular matrices, over $GF(q)$,  whose square is the zero matrix. This formula was recently conjectured by Sasha Kirillov and Anna Melnikov.<\/jats:p>","DOI":"10.37236\/1226","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T01:50:39Z","timestamp":1578707439000},"source":"Crossref","is-referenced-by-count":11,"title":["The Number of Solutions of $X^2=0$ in Triangular Matrices Over $GF(q)$"],"prefix":"10.37236","volume":"3","author":[{"given":"Shalosh B.","family":"Ekhad","sequence":"first","affiliation":[]},{"given":"Doron","family":"Zeilberger","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1995,12,1]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i1r2\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v3i1r2\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T06:18:28Z","timestamp":1579328308000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v3i1r2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,12,1]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[1996,1,1]]}},"URL":"https:\/\/doi.org\/10.37236\/1226","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[1995,12,1]]},"article-number":"R2"}}