Transcendence In Algebra Combinatorics Geometry And Number Theory

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Transcendence in Algebra, Combinatorics, Geometry and Number Theory

Alin Bostan,Kilian Raschel
Transcendence in Algebra Combinatorics Geometry and Number Theory Book PDF

Author : Alin Bostan,Kilian Raschel
Publisher : Springer Nature
Page : 544 pages
File Size : 45,9 Mb
Release : 2021-11-02
Category : Mathematics
ISBN : 9783030843045

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Transcendence in Algebra, Combinatorics, Geometry and Number Theory by Alin Bostan,Kilian Raschel Pdf

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

Transcendence in Algebra, Combinatorics, Geometry and Number Theory

Alin Bostan,Kilian Raschel
Transcendence in Algebra Combinatorics Geometry and Number Theory Book PDF

Author : Alin Bostan,Kilian Raschel
Publisher : Unknown
Page : 0 pages
File Size : 52,8 Mb
Release : 2021
Category : Electronic
ISBN : 303084305X

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Transcendence in Algebra, Combinatorics, Geometry and Number Theory by Alin Bostan,Kilian Raschel Pdf

This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.

Periods And Special Functions In Transcendence

Tretkoff Paula B
Periods And Special Functions In Transcendence Book PDF

Author : Tretkoff Paula B
Publisher : World Scientific
Page : 228 pages
File Size : 51,8 Mb
Release : 2017-05-04
Category : Mathematics
ISBN : 9781786342966

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Periods And Special Functions In Transcendence by Tretkoff Paula B Pdf

This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi–Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. It is a nice book for graduate students and researchers interested in transcendence.

Irrationality and Transcendence in Number Theory

David Angell
Irrationality and Transcendence in Number Theory Book PDF

Author : David Angell
Publisher : CRC Press
Page : 243 pages
File Size : 49,7 Mb
Release : 2021-12-30
Category : Mathematics
ISBN : 9781000523737

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Irrationality and Transcendence in Number Theory by David Angell Pdf

Features Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation. Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates. Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background.

Transcendental Numbers

M. Ram Murty,Purusottam Rath
Transcendental Numbers Book PDF

Author : M. Ram Murty,Purusottam Rath
Publisher : Springer
Page : 219 pages
File Size : 42,5 Mb
Release : 2014-06-24
Category : Mathematics
ISBN : 9781493908325

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Transcendental Numbers by M. Ram Murty,Purusottam Rath Pdf

This book provides an introduction to the topic of transcendental numbers for upper-level undergraduate and graduate students. The text is constructed to support a full course on the subject, including descriptions of both relevant theorems and their applications. While the first part of the book focuses on introducing key concepts, the second part presents more complex material, including applications of Baker’s theorem, Schanuel’s conjecture, and Schneider’s theorem. These later chapters may be of interest to researchers interested in examining the relationship between transcendence and L-functions. Readers of this text should possess basic knowledge of complex analysis and elementary algebraic number theory.

Transcendence and Linear Relations of 1-Periods

Annette Huber,Gisbert Wüstholz
Transcendence and Linear Relations of 1 Periods Book PDF

Author : Annette Huber,Gisbert Wüstholz
Publisher : Cambridge University Press
Page : 265 pages
File Size : 46,9 Mb
Release : 2022-05-26
Category : Mathematics
ISBN : 9781316519936

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Transcendence and Linear Relations of 1-Periods by Annette Huber,Gisbert Wüstholz Pdf

Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.

New Advances in Transcendence Theory

Alan Baker,London Mathematical Society
New Advances in Transcendence Theory Book PDF

Author : Alan Baker,London Mathematical Society
Publisher : Cambridge University Press
Page : 456 pages
File Size : 45,5 Mb
Release : 1988-10-13
Category : Mathematics
ISBN : 0521335450

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New Advances in Transcendence Theory by Alan Baker,London Mathematical Society Pdf

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.

Making Transcendence Transparent

Edward B. Burger,Robert Tubbs
Making Transcendence Transparent Book PDF

Author : Edward B. Burger,Robert Tubbs
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 51,6 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475741148

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Making Transcendence Transparent by Edward B. Burger,Robert Tubbs Pdf

This is the first book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students. Edward Burger is one of the authors of The Heart of Mathematics, winner of a 2001 Robert W. Hamilton Book Award. He will also be awarded the 2004 Chauvenet Prize, one of the most prestigious MAA prizes for outstanding exposition.

Mahler Functions and Transcendence

Kumiko Nishioka
Mahler Functions and Transcendence Book PDF

Author : Kumiko Nishioka
Publisher : Springer
Page : 195 pages
File Size : 47,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540685982

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Mahler Functions and Transcendence by Kumiko Nishioka Pdf

This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, algebraic function field of one variable and rudiments of ring theory. The book is intended for both graduate students and researchers who are interested in transcendence theory. It will lay the foundations of the theory of Mahler functions and provide a source of further research.

Contributions to the Theory of Transcendental Numbers

Gregory Chudnovsky
Contributions to the Theory of Transcendental Numbers Book PDF

Author : Gregory Chudnovsky
Publisher : American Mathematical Soc.
Page : 464 pages
File Size : 49,6 Mb
Release : 1984
Category : Numbers, Transcendental
ISBN : 9780821815007

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Contributions to the Theory of Transcendental Numbers by Gregory Chudnovsky Pdf

Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.

Number Theory IV

A.N. Parshin,I.R. Shafarevich
Number Theory IV Book PDF

Author : A.N. Parshin,I.R. Shafarevich
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 42,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662036440

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Number Theory IV by A.N. Parshin,I.R. Shafarevich Pdf

This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.

Ideals of Powers and Powers of Ideals

Enrico Carlini,Huy Tài Hà,Brian Harbourne,Adam Van Tuyl
Ideals of Powers and Powers of Ideals Book PDF

Author : Enrico Carlini,Huy Tài Hà,Brian Harbourne,Adam Van Tuyl
Publisher : Springer Nature
Page : 162 pages
File Size : 54,6 Mb
Release : 2020-05-21
Category : Mathematics
ISBN : 9783030452476

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Ideals of Powers and Powers of Ideals by Enrico Carlini,Huy Tài Hà,Brian Harbourne,Adam Van Tuyl Pdf

This book discusses regular powers and symbolic powers of ideals from three perspectives– algebra, combinatorics and geometry – and examines the interactions between them. It invites readers to explore the evolution of the set of associated primes of higher and higher powers of an ideal and explains the evolution of ideals associated with combinatorial objects like graphs or hypergraphs in terms of the original combinatorial objects. It also addresses similar questions concerning our understanding of the Castelnuovo-Mumford regularity of powers of combinatorially defined ideals in terms of the associated combinatorial data. From a more geometric point of view, the book considers how the relations between symbolic and regular powers can be interpreted in geometrical terms. Other topics covered include aspects of Waring type problems, symbolic powers of an ideal and their invariants (e.g., the Waldschmidt constant, the resurgence), and the persistence of associated primes.

Number Theory IV

A.N. Parshin,I.R. Shafarevich
Number Theory IV Book PDF

Author : A.N. Parshin,I.R. Shafarevich
Publisher : Springer
Page : 345 pages
File Size : 46,5 Mb
Release : 2010-12-08
Category : Mathematics
ISBN : 3642082599

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Number Theory IV by A.N. Parshin,I.R. Shafarevich Pdf

This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.

Diophantine Approximation on Linear Algebraic Groups

Michel Waldschmidt
Diophantine Approximation on Linear Algebraic Groups Book PDF

Author : Michel Waldschmidt
Publisher : Springer Science & Business Media
Page : 649 pages
File Size : 40,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662115695

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Diophantine Approximation on Linear Algebraic Groups by Michel Waldschmidt Pdf

The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.

Number Theory IV

A.N. Parshin,I.R. Shafarevich
Number Theory IV Book PDF

Author : A.N. Parshin,I.R. Shafarevich
Publisher : Springer
Page : 345 pages
File Size : 41,9 Mb
Release : 1997-10-06
Category : Mathematics
ISBN : 3540614672

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Number Theory IV by A.N. Parshin,I.R. Shafarevich Pdf

This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.