Zobrazeno 1 - 10 of 259 pro vyhledávání: '"Yann Bugeaud"'
1
Elektronická kniha
Distribution Modulo One and Diophantine Approximation
Autor: Yann Bugeaud
This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related topics. Most of the results have never before appeared in one book and many of them were proved only during the la
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4
On effective approximation to quadratic numbers
Autor: Yann Bugeaud
Publikováno v: Acta mathematica Spalatensia. 2:83-95
Let p be a prime number and | · |p the p-adic absolute value on Q and on the p-adic field Qp normalized such that |p|p = p −1 . Let ξ be a quadratic real number and α a quadratic p-adic number. We prove that there exist positive, effectively com
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::aeef1e063be3c1d4688faa5d9160e857
https://doi.org/10.32817/ams.2.6
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5
Elektronická kniha
Approximation by Algebraic Numbers
Autor: Yann Bugeaud
Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is accessible and self-contained, with complete and detail
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8
On the Lévy constants of Sturmian continued fractions
Autor: Yann Bugeaud, Dong Han Kim, Seul Bee Lee
Publikováno v: Pacific Journal of Mathematics. 315:1-25
The L\'evy constant of an irrational real number is defined by the exponential growth rate of the sequence of denominators of the principal convergents in its continued fraction expansion. Any quadratic irrational has an ultimately periodic continued
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1eb1e62aca89fb3e64a0402ae61e649
https://doi.org/10.2140/pjm.2021.315.1
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10
Multiplicative p-Adic Approximation
Autor: Yann Bugeaud, Dzmitry Badziahin
Publikováno v: Michigan Mathematical Journal. 71
Let p be a prime number. We give several results towards a particular instance of a conjecture of Einsiedler and Kleinbock asserting that every p -adic number x satisfies inf a , b ∈ Z ∖ { 0 } | a b | ⋅ | a x − b | p = 0 . We highlight a clos
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ec941862b2b0606246891794dab468e0
https://doi.org/10.1307/mmj/20195785
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