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DC Field | Value | Language |
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dc.citation.endPage | 251 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 241 | - |
dc.citation.title | ACTA ARITHMETICA | - |
dc.citation.volume | 188 | - |
dc.contributor.author | Lee, Jungwon | - |
dc.contributor.author | Sun, Hae-sang | - |
dc.date.accessioned | 2023-12-21T19:36:39Z | - |
dc.date.available | 2023-12-21T19:36:39Z | - |
dc.date.created | 2019-01-09 | - |
dc.date.issued | 2019-03 | - |
dc.description.abstract | We record two remarks on the work of Baladi–Vallée [J. Number Theory 110 (2005), 331–386]. They proved the asymptotic Gaussian distribution of the length of continued fractions as a random variable on the set of rational numbers whose denominators are less than or equal to a fixed positive integer with uniform probability. We give a direct proof of that result without the smoothing process by applying Perron’s formula with error terms, and further derive an equivalent result on a thinner probability space. | - |
dc.identifier.bibliographicCitation | ACTA ARITHMETICA, v.188, no.3, pp.241 - 251 | - |
dc.identifier.doi | 10.4064/aa170418-6-3 | - |
dc.identifier.issn | 0065-1036 | - |
dc.identifier.scopusid | 2-s2.0-85064240886 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/26915 | - |
dc.identifier.url | https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/188/3/112905/another-note-on-euclidean-algorithms-are-gaussian-by-v-baladi-and-b-vallee | - |
dc.identifier.wosid | 000462464100002 | - |
dc.language | 영어 | - |
dc.publisher | POLISH ACAD SCIENCES INST MATHEMATICS | - |
dc.title | Another note on “Euclidean algorithms are Gaussian” by V. Baladi and B. Vallée | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | dynamical systems | - |
dc.subject.keywordAuthor | transfer operator | - |
dc.subject.keywordAuthor | Dirichlet series | - |
dc.subject.keywordAuthor | Perron&apos | - |
dc.subject.keywordAuthor | s formula | - |
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