{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T19:45:34Z","timestamp":1760384734946},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540434009"},{"type":"electronic","value":"9783540459958"}],"license":[{"start":{"date-parts":[[2002,1,1]],"date-time":"2002-01-01T00:00:00Z","timestamp":1009843200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002]]},"DOI":"10.1007\/3-540-45995-2_17","type":"book-chapter","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T22:33:34Z","timestamp":1180478014000},"page":"141-152","source":"Crossref","is-referenced-by-count":11,"title":["Beta-Expansions for Cubic Pisot Numbers"],"prefix":"10.1007","author":[{"given":"Fr\u00e9d\u00e9rique","family":"Bassino","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2002,3,14]]},"reference":[{"key":"17_CR1","doi-asserted-by":"crossref","unstructured":"S. Akiyama. Cubic Pisot units with finite beta expansions. In F. Halter-Koch and R.F. Tichy, editors, Algebraic Number Theory and Diophantine Analysis, 11\u201326. de Gruyter, 2000.","DOI":"10.1515\/9783110801958.11"},{"key":"17_CR2","first-page":"419","volume":"285","author":"A. Bertrand","year":"1977","unstructured":"A. Bertrand. D\u00e9veloppements en base de Pisot et r\u00e9partition modulo 1. C. R. Acad. Sci. Paris, 285:419\u2013421, 1977.","journal-title":"C. R. Acad. Sci. Paris"},{"key":"17_CR3","doi-asserted-by":"publisher","first-page":"271","DOI":"10.24033\/bsmf.2058","volume":"114","author":"A. Bertrand-Mathis","year":"1986","unstructured":"A. Bertrand-Mathis. D\u00e9veloppement en base \u03b8, r\u00e9partition modulo 1 de la suite (x\u03b8\n n)n\u22650, langages cod\u00e9s et \u03b8-shift. Bull. Soc. Math. France, 114:271\u2013323, 1986.","journal-title":"Bull. Soc. Math. France"},{"key":"17_CR4","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1016\/0304-3975(89)90038-8","volume":"65","author":"F. Blanchard","year":"1989","unstructured":"F. Blanchard. \u03b2-expansions and symbolic dynamics. Theor. Comput. Sci., 65:131\u2013141, 1989.","journal-title":"Theor. Comput. Sci."},{"key":"17_CR5","doi-asserted-by":"crossref","unstructured":"D. W. Boyd. Salem numbers of degree four have periodic expansions. In Number theory, pages 57\u201364. de Gruyter, 1989.","DOI":"10.1515\/9783110852790.57"},{"issue":"214","key":"17_CR6","doi-asserted-by":"publisher","first-page":"841","DOI":"10.1090\/S0025-5718-96-00693-X","volume":"65","author":"D. W. Boyd","year":"1996","unstructured":"D. W. Boyd. On beta expansions for Pisot numbers. Mathematics of Computation, 65(214):841\u2013860, 1996.","journal-title":"Mathematics of Computation"},{"issue":"214","key":"17_CR7","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1090\/S0025-5718-96-00700-4","volume":"65","author":"D. W. Boyd","year":"1996","unstructured":"D. W. Boyd. On the beta expansion for Salem numbers of degree 6. Mathematics of Computation, 65(214):861\u2013875, 1996.","journal-title":"Mathematics of Computation"},{"key":"17_CR8","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1017\/S0143385700007860","volume":"14","author":"L. Flatto","year":"1994","unstructured":"L. Flatto, J. Lagarias, and B. Poonen. The zeta function of the beta transformation. Ergodic Theory Dynamical Systems, 14:237\u2013266, 1994.","journal-title":"Ergodic Theory Dynamical Systems"},{"key":"17_CR9","unstructured":"C. Frougny. Numeration Systems, chapter 7, in M. Lothaire, Algebraic Combinatorics on Words. Cambridge University Press, to appear, available at \n                    http:\/\/www-igm.univ-mlv.fr\n                    \n                  \/~berstel\/Lothaire\/."},{"key":"17_CR10","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1017\/S0143385700007057","volume":"12","author":"C. Frougny","year":"1992","unstructured":"C. Frougny and B. Solomyak. Finite \u03b2-expansions. Ergodic Theory Dynamical Systems, 12:713\u2013723, 1992.","journal-title":"Ergodic Theory Dynamical Systems"},{"key":"17_CR11","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s002240000082","volume":"31","author":"M. Hollander","year":"1998","unstructured":"M. Hollander. Greedy numeration systems and regularity. Theory of Computing Systems, 31:111\u2013133, 1998.","journal-title":"Theory of Computing Systems"},{"key":"17_CR12","doi-asserted-by":"publisher","first-page":"33","DOI":"10.2969\/jmsj\/02610033","volume":"26","author":"S. Ito","year":"1974","unstructured":"S. Ito and Y. Takahashi. Markov subshifts and realization of \u03b2-expansions. J. Math. Soc. Japan, 26:33\u201355, 1974.","journal-title":"J. Math. Soc. Japan"},{"key":"17_CR13","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1007\/BF02020954","volume":"11","author":"W. Parry","year":"1960","unstructured":"W. Parry. On the beta expansions of real numbers. Acta Math. Acad. Sci. Hung., 11:401\u2013416, 1960.","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"17_CR14","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1007\/BF02020331","volume":"8","author":"A. R\u00e9nyi","year":"1957","unstructured":"A. R\u00e9nyi. Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hung., 8:477\u2013493, 1957.","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"17_CR15","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1112\/blms\/12.4.269","volume":"12","author":"K. Schmidt","year":"1980","unstructured":"K. Schmidt. On periodic expansions of Pisot numbers and Salem numbers. Bull. London Math. Soc., 12:269\u2013278, 1980.","journal-title":"Bull. London Math. Soc."},{"issue":"3","key":"17_CR16","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1112\/plms\/s3-68.3.477","volume":"68","author":"B. Solomyak","year":"1994","unstructured":"B. Solomyak. Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Proc. London Math. Soc., 68(3):477\u2013498, 1994.","journal-title":"Proc. London Math. Soc."}],"container-title":["Lecture Notes in Computer Science","LATIN 2002: Theoretical Informatics"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45995-2_17","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,2,16]],"date-time":"2019-02-16T19:43:21Z","timestamp":1550346201000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-45995-2_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002]]},"ISBN":["9783540434009","9783540459958"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/3-540-45995-2_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2002]]}}}