{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:18Z","timestamp":1753893798490,"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>The Prime Power Conjecture (PPC) states that abelian planar difference sets of order $n$ exist only for $n$ a prime power. Evans and Mann verified this for cyclic difference sets for $n \\leq 1600$.  In this paper we verify the PPC for $n \\leq 2{,}000{,}000$, using many necessary conditions on the group of multipliers.<\/jats:p>","DOI":"10.37236\/1186","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T06:40:53Z","timestamp":1578638453000},"source":"Crossref","is-referenced-by-count":15,"title":["The prime power conjecture is true for  $n  &lt;  2{,}000{,}000$"],"prefix":"10.37236","volume":"1","author":[{"given":"Daniel M.","family":"Gordon","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[1994,8,24]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v1i1r6\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v1i1r6\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,18]],"date-time":"2020-01-18T09:33:18Z","timestamp":1579339998000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v1i1r6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,8,24]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[1994,4,13]]}},"URL":"https:\/\/doi.org\/10.37236\/1186","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[1994,8,24]]},"article-number":"R6"}}