{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T13:23:04Z","timestamp":1760016184437},"reference-count":14,"publisher":"Walter de Gruyter GmbH","issue":"0","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017,1,24]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We give an elementary proof of the group law for elliptic curves using explicit formulas.<\/jats:p>","DOI":"10.1515\/gcc-2017-0010","type":"journal-article","created":{"date-parts":[[2017,10,24]],"date-time":"2017-10-24T10:01:35Z","timestamp":1508839295000},"source":"Crossref","is-referenced-by-count":1,"title":["An elementary proof of the group law for elliptic curves"],"prefix":"10.1515","volume":"0","author":[{"given":"Stefan","family":"Friedl","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","reference":[{"key":"ref101","year":"1987","journal-title":"Elliptic Curves"},{"key":"ref21","year":"1991","journal-title":"Ebene Algebraische Kurven"},{"key":"ref151","year":"1986","journal-title":"The Arithmetic of Elliptic Curves"},{"key":"ref171","article-title":"http cocoa dima unige it"},{"key":"ref31","year":"1978","journal-title":"Elliptic Curves: Diophantine Analysis"},{"key":"ref71","year":"2007","journal-title":"Proving the group law for elliptic curves formally"},{"key":"ref11","year":"1987","journal-title":"Elliptic Curves"},{"key":"ref51","first-page":"30","article-title":"A computationally surveyable proof of the group properties of an elliptic curve","year":"2017","journal-title":"Proceedings 14th International Workshop on the ACL2 Theorem Prover and its Applications"},{"key":"ref121","year":"1978","journal-title":"Elliptic Curves: Diophantine Analysis"},{"key":"ref161","year":"2007","journal-title":"Proving the group law for elliptic curves formally"},{"key":"ref61","year":"1986","journal-title":"The Arithmetic of Elliptic Curves"},{"key":"ref81","article-title":"http cocoa dima unige it"},{"key":"ref141","first-page":"30","article-title":"A computationally surveyable proof of the group properties of an elliptic curve","year":"2017","journal-title":"Proceedings 14th International Workshop on the ACL2 Theorem Prover and its Applications"},{"key":"ref111","year":"1991","journal-title":"Ebene Algebraische Kurven"}],"container-title":["Groups Complexity Cryptology"],"original-title":[],"link":[{"URL":"http:\/\/www.degruyter.com\/view\/j\/gcc.ahead-of-print\/gcc-2017-0010\/gcc-2017-0010.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.degruyter.com\/view\/j\/gcc.ahead-of-print\/gcc-2017-0010\/gcc-2017-0010.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,2,27]],"date-time":"2021-02-27T03:08:45Z","timestamp":1614395325000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.degruyter.com\/document\/doi\/10.1515\/gcc-2017-0010\/html"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,24]]},"references-count":14,"journal-issue":{"issue":"0"},"URL":"https:\/\/doi.org\/10.1515\/gcc-2017-0010","relation":{},"ISSN":["1867-1144","1869-6104"],"issn-type":[{"value":"1867-1144","type":"print"},{"value":"1869-6104","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1,24]]}}}