{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,2]],"date-time":"2025-10-02T10:27:34Z","timestamp":1759400854232},"reference-count":1,"publisher":"World Scientific Pub Co Pte Lt","issue":"03n04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1999,6]]},"abstract":"<jats:p> Let \u03b8&gt;1 be a nonintegral real number such that the \u03b8-expansion of every positive integer is finite. If the set of \u03b8-expansions of all the positive integers is a context-free language, then \u03b8 must be a quadratic Pisot unit. <\/jats:p><jats:p> <\/jats:p><jats:p> R\u00e9sum\u00e9: Soit \u03b8&gt;1 un nombre r\u00e9el non entier tel que le \u03b8-d\u00e9veloppement de tout entier positif soit fini. Si l'on suppose que l'enslembe des \u03b8-d\u00e9veloppements des entiers positifs forme un langage alg\u00e9brique, alors \u03b8 doit \u00eatre un nombre de Pisot quadratique unitaire. <\/jats:p>","DOI":"10.1142\/s0218196799000229","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T11:05:54Z","timestamp":1027767954000},"page":"347-350","source":"Crossref","is-referenced-by-count":4,"title":["ON THE CONTEXT-FREENESS OF THE \u03b8-EXPANSIONS OF THE INTEGERS"],"prefix":"10.1142","volume":"09","author":[{"given":"CHRISTIANE","family":"FROUGNY","sequence":"first","affiliation":[{"name":"Universit\u00e9 Paris 8 and Laboratoire Informatique Algorithmique: Fondements et Applications, Universit\u00e9 Paris 7 and C.N.R.S., France"}]},{"given":"BORIS","family":"SOLOMYAK","sequence":"additional","affiliation":[{"name":"Department of Mathematics GN-50, University of Washington, Seattle, Washington\u00a098195, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385700007057"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196799000229","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:55:59Z","timestamp":1565128559000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196799000229"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999,6]]},"references-count":1,"journal-issue":{"issue":"03n04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1999,6]]}},"alternative-id":["10.1142\/S0218196799000229"],"URL":"https:\/\/doi.org\/10.1142\/s0218196799000229","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1999,6]]}}}