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Nombres transcendants et groupes algébriques
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Year: 1979 Publisher: [Lieu de publication inconnu]: Société mathématique de France,

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Transcendental numbers
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ISBN: 3110889056 9783110889055 9783110115680 Year: 1989 Publisher: Berlin : W. de Gruyter,

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No detailed description available for "Transcendental Numbers".

Transcendental number theory
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ISBN: 0521204615 052139791X 9780521204613 Year: 1979 Publisher: Cambridge Cambridge University press

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First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.


Book
Applications of Diophantine approximation to integral points and transcendence
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ISBN: 1108348092 1108656560 9781108656566 9781108424943 1108424945 9781108348096 Year: 2018 Publisher: Cambridge : Cambridge University Press,

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This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to Diophantine equations and related topics. The geometric viewpoint on Diophantine equations has been adopted throughout the book. It includes a number of results, some published here for the first time in book form, and some new, as well as classical material presented in an accessible way. Graduate students and experts alike will find the book's broad approach useful for their work, and will discover new techniques and open questions to guide their research. It contains concrete examples and many exercises (ranging from the relatively simple to the much more complex), making it ideal for self-study and enabling readers to quickly grasp the essential concepts.

Hypergéométrie et fonction zêta de Riemann.
Authors: ---
ISBN: 9780821839614 0821839616 Year: 2007 Publisher: Providence American Mathematical Society


Book
Hilbert's Seventh Problem : Solutions and Extensions
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ISBN: 9811026440 9811026459 Year: 2016 Publisher: Singapore : Springer Nature Singapore : Imprint: Springer,

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This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers. .


Book
Transcendence theory : advances and applications : proceedings of a conference held in Cambridge in 1976
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ISBN: 0120743507 Year: 1977 Publisher: London Academic press

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