{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T04:05:41Z","timestamp":1776830741127,"version":"3.51.2"},"reference-count":13,"publisher":"American Mathematical Society (AMS)","issue":"321","license":[{"start":{"date-parts":[[2020,6,27]],"date-time":"2020-06-27T00:00:00Z","timestamp":1593216000000},"content-version":"am","delay-in-days":366,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"funder":[{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["15K00342"],"award-info":[{"award-number":["15K00342"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["15K00342"],"award-info":[{"award-number":["15K00342"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["15K00342"],"award-info":[{"award-number":["15K00342"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["15K00342"],"award-info":[{"award-number":["15K00342"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["15K00342"],"award-info":[{"award-number":["15K00342"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001691","name":"Japan Society for the Promotion of Science","doi-asserted-by":"publisher","award":["15K00342"],"award-info":[{"award-number":["15K00342"]}],"id":[{"id":"10.13039\/501100001691","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    We give a new class of multidimensional\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"p\">\n                        <mml:semantics>\n                          <mml:mi>p<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">p<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -adic continued fraction algorithms. We propose an algorithm in the class for which we can expect that the multidimensional\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"p\">\n                        <mml:semantics>\n                          <mml:mi>p<\/mml:mi>\n                          <mml:annotation encoding=\"application\/x-tex\">p<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    -adic version of Lagrange\u2019s Theorem will hold.\n                  <\/p>","DOI":"10.1090\/mcom\/3458","type":"journal-article","created":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T12:33:08Z","timestamp":1556195588000},"page":"351-372","source":"Crossref","is-referenced-by-count":4,"title":["Multidimensional \ud835\udc5d-adic continued fraction algorithms"],"prefix":"10.1090","volume":"89","author":[{"given":"Asaki","family":"Saito","sequence":"first","affiliation":[]},{"given":"Jun-ichi","family":"Tamura","sequence":"additional","affiliation":[]},{"given":"Shin-ichi","family":"Yasutomi","sequence":"additional","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2019,6,27]]},"reference":[{"issue":"1","key":"1","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1006\/jsco.2001.0494","article-title":"Introduction to the GiNaC framework for symbolic computation within the \ud835\udc36\u207a\u207a programming language","volume":"33","author":"Bauer, Christian","year":"2002","journal-title":"J. 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Mat. \\v{Z}.","ISSN":"https:\/\/id.crossref.org\/issn\/0037-4474","issn-type":"print"},{"key":"8","unstructured":"A. Saito, J.-I. Tamura, and S. Yasutomi, \ud835\udc5d-adic continued fractions and Lagrange\u2019s theorem, to appear in Comment. Math. Univ. St. Pauli 67 (2019)."},{"key":"9","unstructured":"A. Saito, J.-I. Tamura, and S. Yasutomi, Convergence of multi-dimensional \ud835\udc5d-adic continued fractions, preprint (2017)."},{"issue":"6","key":"10","doi-asserted-by":"publisher","first-page":"063122","DOI":"10.1063\/1.4954023","article-title":"Pseudorandom number generation using chaotic true orbits of the Bernoulli map","volume":"26","author":"Saito, Asaki","year":"2016","journal-title":"Chaos","ISSN":"https:\/\/id.crossref.org\/issn\/1054-1500","issn-type":"print"},{"key":"11","first-page":"181","article-title":"\u00dcber \ud835\udc5d-adische Kettenbr\u00fcche","author":"Schneider, Th.","year":"1970"},{"key":"12","first-page":"1","article-title":"A \ud835\udc5d-adic phenomenon related to certain integer matrices, and \ud835\udc5d-adic values of a multidimensional continued fraction","author":"Tamura, Jun-ichi","year":"2012"},{"issue":"4","key":"13","first-page":"112","article-title":"Periodicity of \ud835\udc5d-adic continued fractions","volume":"43","author":"de Weger, B. M. 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