Applications Of Diophantine Approximation To Integral Points And Transcendence
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Applications Of Diophantine Approximation To Integral Points And Transcendence
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Author : Pietro Corvaja
language : en
Publisher: Cambridge University Press
Release Date : 2018-05-03
Applications Of Diophantine Approximation To Integral Points And Transcendence written by Pietro Corvaja and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Mathematics categories.
Introduction to Diophantine approximation and equations focusing on Schmidt's subspace theorem, with applications to transcendence.
On Some Applications Of Diophantine Approximations
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Author : Umberto Zannier
language : en
Publisher: Springer
Release Date : 2015-02-13
On Some Applications Of Diophantine Approximations written by Umberto Zannier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-13 with Mathematics categories.
This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel’s paper. To end, it presents three modern proofs of Siegel’s theorem on integral points.
New Advances In Transcendence Theory
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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 1988-10-13
New Advances In Transcendence Theory written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-10-13 with Mathematics categories.
This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.
Diophantine Approximation And Transcendence Theory
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Author : Gisbert Wustholz
language : en
Publisher:
Release Date : 2014-01-15
Diophantine Approximation And Transcendence Theory written by Gisbert Wustholz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Diophantine Approximation And Its Applications
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Author : Charles F. Osgood
language : en
Publisher:
Release Date : 1973
Diophantine Approximation And Its Applications written by Charles F. Osgood and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with categories.
Transcendence And Linear Relations Of 1 Periods
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Author : Annette Huber
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-26
Transcendence And Linear Relations Of 1 Periods written by Annette Huber and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-26 with Mathematics categories.
Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.
Arithmetic Geometry Of Logarithmic Pairs And Hyperbolicity Of Moduli Spaces
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Author : Marc-Hubert Nicole
language : en
Publisher: Springer Nature
Release Date : 2020-10-31
Arithmetic Geometry Of Logarithmic Pairs And Hyperbolicity Of Moduli Spaces written by Marc-Hubert Nicole and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-31 with Mathematics categories.
This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montréal between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. This approach captures the spirit of the original lectures, which prepared graduate students and those new to the field for the technical talks in the program. The four chapters turn the spotlight on the following pivotal themes: The basic notions of o-minimal geometry, which build to the proof of the Ax–Schanuel conjecture for variations of Hodge structures; A broad introduction to the theory of orbifold pairs and Campana's conjectures, with a special emphasis on the arithmetic perspective; A systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang–Vojta conjectures in the projective case; An exploration of hyperbolicity and the Lang–Vojta conjectures in the general case of quasi-projective varieties. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number theory, complex algebraic geometry, and arithmetic geometry. A basic course in algebraic geometry is assumed, along with some familiarity with the vocabulary of algebraic number theory.
Point Counting And The Zilber Pink Conjecture
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Author : Jonathan Pila
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Point Counting And The Zilber Pink Conjecture written by Jonathan Pila and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Mathematics categories.
Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.
Transcendental Number Theory
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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Transcendental Number Theory written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-09 with Computers categories.
Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Noncommutative Function Theoretic Operator Theory And Applications
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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16
Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.