{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:58:15Z","timestamp":1750309095001,"version":"3.41.0"},"reference-count":8,"publisher":"Association for Computing Machinery (ACM)","issue":"4-1","license":[{"start":{"date-parts":[[1977,11,1]],"date-time":"1977-11-01T00:00:00Z","timestamp":247190400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[1977,11]]},"abstract":"<jats:p>\n            In 1933 D. H. Lehmer [3], in connexion with a method for discovering large prime numbers, posed the following question. Let \u03b1 be an algebraic integer of degree D with conjugates \u03b1 = \u03b1\n            <jats:sub>1<\/jats:sub>\n            , \u03b1\n            <jats:sub>2<\/jats:sub>\n            , ..., \u03b1\n            <jats:sub>D<\/jats:sub>\n            and put[EQUATION]where a is the leading (positive) coefficient of the minimal polynomial of \u03b1.\n          <\/jats:p>","DOI":"10.1145\/1088252.1088255","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"9-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["How to find algebraic integers whose conjugates lie near the unit circle?"],"prefix":"10.1145","volume":"11-12","author":[{"given":"Maurice","family":"Mignotte","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[1977,11]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.4064\/aa-18-1-355-369"},{"key":"e_1_2_1_2_1","unstructured":"E. Dobrowolski. - On the maximal modulus of conjugates of an algebraic integer Bull. Acad. Polon. Sci. (to appear).  E. Dobrowolski. - On the maximal modulus of conjugates of an algebraic integer Bull. Acad. Polon. Sci. (to appear)."},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.2307\/1968172"},{"key":"e_1_2_1_4_1","unstructured":"M. Mignotte C. L. Stewart M. Waldschmidt. - untitled manuscript.  M. Mignotte C. L. Stewart M. Waldschmidt. - untitled manuscript."},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972700023042"},{"key":"e_1_2_1_6_1","unstructured":"C. L. Stewart. - Algebraic integers whose conjugates lie near the unit circle Bull. Soc. Math. France (to appear).  C. L. Stewart. - Algebraic integers whose conjugates lie near the unit circle Bull. Soc. Math. France (to appear)."},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1112\/blms\/3.2.169"},{"key":"e_1_2_1_8_1","unstructured":"M. Waldschmidt. - A lower bound for linear forms in logarithms (to appear).  M. Waldschmidt. - A lower bound for linear forms in logarithms (to appear)."}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1088252.1088255","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1088252.1088255","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T22:43:44Z","timestamp":1750286624000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1088252.1088255"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1977,11]]},"references-count":8,"journal-issue":{"issue":"4-1","published-print":{"date-parts":[[1977,11]]}},"alternative-id":["10.1145\/1088252.1088255"],"URL":"https:\/\/doi.org\/10.1145\/1088252.1088255","relation":{},"ISSN":["0163-5824"],"issn-type":[{"type":"print","value":"0163-5824"}],"subject":[],"published":{"date-parts":[[1977,11]]},"assertion":[{"value":"1977-11-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}