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1. |
Record Nr. |
UNISA996466379503316 |
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Titolo |
Introduction to Algebraic Independence Theory [[electronic resource] /] / edited by Yuri V. Nesterenko, Patrice Philippon |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2001 |
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ISBN |
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Edizione |
[1st ed. 2001.] |
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Descrizione fisica |
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1 online resource (XVI, 260 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1752 |
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Disciplina |
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Soggetti |
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Number theory |
Algebraic geometry |
Number Theory |
Algebraic Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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?(?, 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. |
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Sommario/riassunto |
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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 |
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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. |
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2. |
Record Nr. |
UNISA996393825203316 |
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Titolo |
The lamentation [[electronic resource]] |
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Pubbl/distr/stampa |
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Descrizione fisica |
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Soggetti |
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Great Britain History Revolution of 1688 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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In verse. |
Wing dates this piece 1679. It is, however, a description of the departure from England of James II, which occurred in 1688. |
First line reads: Come all ye tender mortals that have ears. |
Reproduction of original in the Huntington Library. |
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Sommario/riassunto |
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