Classical Diophantine Equations
The author had initiated a revision and translation of "Classical Diophantine Equations" prior to his death. Given the rapid advances in transcendence theory and diophantine approximation over recent years, one might fear that the present work, originally published in Russian in 1982, is m...
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| その他の著者: | |
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1559 |
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| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Classical diophantine equations, Vladimir G. Sprindžuk, Berlin, Springer-Verlag, 1993, 1 vol. (XI-228 p.), Lecture notes in mathematics, 3-540-57359-3 • Classical Diophantine Equations, Texte imprimé, 9783662182864 |
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| 041 | 1 | |a eng |h rus | |
| 082 | |a 510 | ||
| 100 | 1 | |a Sprindzuk, Vladimir Gennadievich. | |
| 245 | 1 | 0 | |a Classical Diophantine Equations |c Vladimir G. Sprindžuk ; [translation editor] Alfred J. van der Poorten. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1559 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Origins -- Algebraic foundations -- Linear forms in the logarithms of algebraic numbers -- The Thue equation -- The Thue-Mahler equation -- Elliptic and hyperelliptic equations -- Equations of hyperelliptic type -- The class number value problem -- Reducibility of polynomials and diophantine equations. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 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 The author had initiated a revision and translation of "Classical Diophantine Equations" prior to his death. Given the rapid advances in transcendence theory and diophantine approximation over recent years, one might fear that the present work, originally published in Russian in 1982, is mostly superseded. That is not so. A certain amount of updating had been prepared by the author himself before his untimely death. Some further revision was prepared by close colleagues. The first seven chapters provide a detailed, virtually exhaustive, discussion of the theory of lower bounds for linear forms in the logarithms of algebraic numbers and its applications to obtaining upper bounds for solutions to the eponymous classical diophantine equations. The detail may seem stark--- the author fears that the reader may react much as does the tourist on first seeing the centre Pompidou; notwithstanding that, Sprind zuk maintainsa pleasant and chatty approach, full of wise and interesting remarks. His emphases well warrant, now that the book appears in English, close studyand emulation. In particular those emphases allow him to devote the eighth chapter to an analysis of the interrelationship of the class number of algebraic number fields involved and the bounds on the heights of thesolutions of the diophantine equations. Those ideas warrant further development. The final chapter deals with effective aspects of the Hilbert Irreducibility Theorem, harkening back to earlier work of the author. There is no other congenial entry point to the ideas of the last two chapters in the literature. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Analyse diophantienne | ||
| 700 | 1 | |a Van Der Poorten, Alfred Jacobus, |d 1942-2010. |4 edt |4 trl | |
| 776 | 0 | |0 017620597 |t Classical diophantine equations |f Vladimir G. Sprindžuk |c Berlin |n Springer-Verlag |d 1993 |p 1 vol. (XI-228 p.) |s Lecture notes in mathematics |z 3-540-57359-3 | |
| 776 | 0 | |t Classical Diophantine Equations |b Texte imprimé |z 9783662182864 | |
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| 856 | 4 | |5 180339901:754012409 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0073786 |z Accès INSA CVL | |
| 997 | |0 970459 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||