{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T10:19:27Z","timestamp":1743157167530,"version":"3.40.3"},"publisher-location":"Cham","reference-count":10,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030552145"},{"type":"electronic","value":"9783030552152"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-55215-2_2","type":"book-chapter","created":{"date-parts":[[2020,9,10]],"date-time":"2020-09-10T18:29:13Z","timestamp":1599762553000},"page":"7-23","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Prelude: Profinite Integers"],"prefix":"10.1007","author":[{"given":"Jorge","family":"Almeida","sequence":"first","affiliation":[]},{"given":"Alfredo","family":"Costa","sequence":"additional","affiliation":[]},{"given":"Revekka","family":"Kyriakoglou","sequence":"additional","affiliation":[]},{"given":"Dominique","family":"Perrin","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,9,10]]},"reference":[{"key":"2_CR20","doi-asserted-by":"crossref","unstructured":"J. Berstel, C. Reutenauer, Noncommutative Rational Series with Applications. Encyclopedia of Mathematics and its Applications, vol. 137 (Cambridge University Press, Cambridge, 2011)","DOI":"10.1017\/CBO9780511760860"},{"key":"2_CR23","doi-asserted-by":"crossref","unstructured":"V. Berth\u00e9, M. Rigo (eds.) Combinatorics, Automata and Number Theory. Encyclopedia of Mathematics and its Applications, vol. 135 (Cambridge University Press, Cambridge, 2010)","DOI":"10.1017\/CBO9780511777653"},{"key":"2_CR45","unstructured":"M.D. Fried, M. Jarden, Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics], vol. 11, 3rd edn. (Springer, Berlin, 2008). Revised by Jarden"},{"key":"2_CR51","doi-asserted-by":"crossref","unstructured":"F.Q. Gouv\u00eaa, p-adic Numbers: An Introduction, 2nd edn. Universitext (Springer, Berlin, 1997)","DOI":"10.1007\/978-3-642-59058-0"},{"key":"2_CR54","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/0304-3975(86)90168-4","volume":"43","author":"G Hansel","year":"1986","unstructured":"G. Hansel, Une d\u00e9monstration simple du th\u00e9or\u00e8me de Skolem-Mahler-Lech. Theoret. Comput. Sci. 43, 91\u201398 (1986)","journal-title":"Theoret. Comput. Sci."},{"key":"2_CR62","unstructured":"D.E. Knuth, The Art of Computer Programming. Volume 2: Seminumerical Algorithms, 3rd edn. (Addison-Wesley, Reading, MA, 1998)"},{"key":"2_CR66","first-page":"297","volume":"6","author":"H Lenstra","year":"2005","unstructured":"H. Lenstra, Profinite Fibonacci numbers. Nieuw Archief voor Wiskunde 6, 297\u2013300 (2005)","journal-title":"Nieuw Archief voor Wiskunde"},{"key":"2_CR96","unstructured":"T. Tao, Open question: effective Skolem-Mahler-Lech theorem (2007). https:\/\/terrytao.wordpress.com\/2007\/05\/25\/open-question-effective-skolem-mahler-lech-theorem\/#more-34"},{"key":"2_CR98","doi-asserted-by":"crossref","unstructured":"D.D. Wall, Fibonacci series modulo m. Am. Math. Mon. 67, 525\u2013532 (1960)","DOI":"10.1080\/00029890.1960.11989541"},{"key":"2_CR99","doi-asserted-by":"crossref","unstructured":"P. Walters, An Introduction to Ergodic Theory. Graduate Texts in Mathematics (Springer, Berlin, 1982)","DOI":"10.1007\/978-1-4612-5775-2"}],"container-title":["Lecture Notes in Mathematics","Profinite Semigroups and Symbolic Dynamics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-55215-2_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,17]],"date-time":"2022-11-17T20:04:49Z","timestamp":1668715489000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-55215-2_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030552145","9783030552152"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-55215-2_2","relation":{},"ISSN":["0075-8434","1617-9692"],"issn-type":[{"type":"print","value":"0075-8434"},{"type":"electronic","value":"1617-9692"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"10 September 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}