Diophantine Approximation : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000
Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing best rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it h...
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| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1819 |
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| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| Edition sous un autre format: | • Diophantine approximation, lectures given at the C.I.M.E. summer school held in Cetraro, Italy, June 28-July 6, 2000, D. Masser, Yu V. Nesterenko, H. P. Schlickewei...[et al.], 2003, Berlin, Springer, 1 vol. (XI-351 p.), Lecture notes in mathematics, 3-540-40392-2 • Diophantine Approximation, Texte imprimé, 9783662185926 |
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| 111 | 2 | |a Centro internazionale matematico estivo. |b Summer school |d (2000-06-28/2000-07-06 |c :Cetraro, Italie). | |
| 245 | 1 | 0 | |a Diophantine Approximation : |b Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000 |c David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang Schmidt, Michel Waldschmidt ; edited by Francesco Amoroso, Umberto Zannier. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1819 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Heights, Transcendence, and Linear Independence on Commutative Group Varieties -- Linear Forms in Logarithms of Rational Numbers -- Approximation of Algebraic Numbers -- Linear Recurrence Sequences -- Linear Independence Measures for Logarithms of Algebraic Numbers. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
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| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing best rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V. | ||
| 650 | |a Approximation diophantienne | ||
| 650 | |a Mathématiques | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Actes de congrès | ||
| 700 | 1 | |a Schlickewei, H. P., |d 1947- |4 aut | |
| 700 | 1 | |a Schmidt, Wolfgang M., |d 1933-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Masser, David William, |d 1948-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Nesterenko, Yuri V. |4 aut | |
| 700 | 1 | |a Waldschmidt, Michel, |d 1946-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Amoroso, Francesco, |d 1962-...., |c enseignant-chercheur en mathématiques. |4 pbd | |
| 700 | 1 | |a Zannier, Umberto, |d 1957-...., |c mathématicien. |4 pbd | |
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| 776 | 0 | |t Diophantine Approximation |b Texte imprimé |z 9783662185926 | |
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