{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:28Z","timestamp":1753893808450,"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 solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least Lehmer's number $\\tau_0 = 1.17628\\dots$.<\/jats:p>","DOI":"10.37236\/2834","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T02:58:34Z","timestamp":1578711514000},"source":"Crossref","is-referenced-by-count":0,"title":["Lehmer's Conjecture for Hermitian Matrices over the Eisenstein and Gaussian Integers"],"prefix":"10.37236","volume":"20","author":[{"given":"Graeme","family":"Taylor","sequence":"first","affiliation":[]},{"given":"Gary","family":"Greaves","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2013,2,25]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p42\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v20i1p42\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T11:26:01Z","timestamp":1579260361000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i1p42"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,2,25]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2013,1,7]]}},"URL":"https:\/\/doi.org\/10.37236\/2834","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2013,2,25]]},"article-number":"P42"}}