Introduction to Algebraic Independence Theory
In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebrai...
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| Andere auteurs: | , |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Reeks: | Lecture notes in mathematics
1752 |
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| Edition sous un autre format: | • Introduction to algebraic independence theory, Yuri V. Nesterenko, Patrice Philippon, eds., 2001, Berlin, Springer, 1 vol. (XIII- 256 p.), Lecture notes in mathematics, 3-540-41496-7 • Introduction to Algebraic Independence Theory, Texte imprimé, 9783662183724 |
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| 245 | 0 | 0 | |a Introduction to Algebraic Independence Theory |c [edited by] Yuri V. Nesterenko, Patrice Philippon. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1752 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a ?(?, z) and Transcendence -- Mahler s conjecture and other transcendence Results -- Algebraic independence for values of Ramanujan Functions -- Some remarks on proofs of algebraic independence -- Elimination multihomogene -- Diophantine geometry -- Géométrie diophantienne multiprojective -- Criteria for algebraic independence -- Upper bounds for (geometric) Hilbert functions -- Multiplicity estimates for solutions of algebraic differential equations -- Zero Estimates on Commutative Algebraic Groups -- Measures of algebraic independence for Mahler functions -- Algebraic Independence in Algebraic Groups. Part 1: Small Transcendence Degrees -- Algebraic Independence in Algebraic Groups. Part II: Large Transcendence Degrees -- Some metric results in Transcendental Numbers Theory -- The Hilbert Nullstellensatz, Inequalities for Polynomials, and Algebraic Independence. | |
| 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 In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject. | ||
| 650 | |a Géométrie algébrique arithmétique | ||
| 650 | |a Indépendance algébrique | ||
| 700 | 1 | |a Philippon, Patrice, |d 19..-...., |c mathématicien. |4 edt | |
| 700 | 1 | |a Nesterenko, Yuri Valentinovich. |4 edt | |
| 776 | 0 | |0 070549559 |t Introduction to algebraic independence theory |f Yuri V. Nesterenko, Patrice Philippon, eds. |d 2001 |c Berlin |n Springer |p 1 vol. (XIII- 256 p.) |s Lecture notes in mathematics |z 3-540-41496-7 | |
| 776 | 0 | |t Introduction to Algebraic Independence Theory |b Texte imprimé |z 9783662183724 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b76882 |z Accès sur la plateforme de l'éditeur | |
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| 856 | 4 | |5 452349901:750644125 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b76882 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753995239 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b76882 |z Accès INSA CVL | |
| 997 | |0 972204 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||