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Elliptic Functions And Transcendence
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Book Synopsis Elliptic Functions and Transcendence by : D.W. Masser
Download or read book Elliptic Functions and Transcendence written by D.W. Masser and published by Springer. This book was released on 2006-11-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Topology written by and published by . This book was released on 1975 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transcendence Theory, Advances and Applications by : A. Baker
Download or read book Transcendence Theory, Advances and Applications written by A. Baker and published by . This book was released on 1977 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an account of the proceedings of a conference on transcendence theory and its applications held in the University of Cambridge during January and February, 1976. The sixteen papers reflect the considerable current activity in this area, and establish a wide variety of original results. The papers have been arranged in groups with a common themes, such as the theory of linear forms in the logarithms of algebraic numbers and its applications, the transcendence theory of elliptic and Abelian functions, and linear and algebraic independence of meromorphic functions, and arithmetical properties of polynomials in several variables.
Book Synopsis Periods And Special Functions In Transcendence by : Tretkoff Paula B
Download or read book Periods And Special Functions In Transcendence written by Tretkoff Paula B and published by World Scientific. This book was released on 2017-05-04 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Contributions to the Theory of Transcendental Numbers by : Gregory Chudnovsky
Download or read book Contributions to the Theory of Transcendental Numbers written by Gregory Chudnovsky and published by American Mathematical Soc.. This book was released on 1984 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transcendence Methods by : Michel Waldschmidt
Download or read book Transcendence Methods written by Michel Waldschmidt and published by Kingston, Ont. : Queen's Univeristy. This book was released on 1979 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Surveys in Number Theory by : Krishnaswami Alladi
Download or read book Surveys in Number Theory written by Krishnaswami Alladi and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).
Book Synopsis Pillars of Transcendental Number Theory by : Saradha Natarajan
Download or read book Pillars of Transcendental Number Theory written by Saradha Natarajan and published by Springer Nature. This book was released on 2020-05-02 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.
Book Synopsis Introduction to Algebraic Independence Theory by : Yuri V. Nesterenko
Download or read book Introduction to Algebraic Independence Theory written by Yuri V. Nesterenko and published by Springer. This book was released on 2003-07-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transcendental Number Theory by : Alan Baker
Download or read book Transcendental Number Theory written by Alan Baker and published by Cambridge University Press. This book was released on 2022-06-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalization of the Thue–Siegel–Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindžuk's solution to the Mahler conjecture. This edition includes an introduction written by David Masser describing Baker's achievement, surveying the content of each chapter and explaining the main argument of Baker's method in broad strokes. A new afterword lists recent developments related to Baker's work.
Book Synopsis Making Transcendence Transparent by : Edward B. Burger
Download or read book Making Transcendence Transparent written by Edward B. Burger and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transcendental Numbers by : M. Ram Murty
Download or read book Transcendental Numbers written by M. Ram Murty and published by Springer. This book was released on 2014-06-24 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Number Theory written by Kalman Gyoery and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Download or read book Number Theory IV written by A.N. Parshin and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Rational Number Theory in the 20th Century by : Władysław Narkiewicz
Download or read book Rational Number Theory in the 20th Century written by Władysław Narkiewicz and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.
Book Synopsis Auxiliary Polynomials in Number Theory by : David Masser
Download or read book Auxiliary Polynomials in Number Theory written by David Masser and published by Cambridge University Press. This book was released on 2016-07-21 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Book Synopsis Transcendence and Linear Relations of 1-Periods by : Annette Huber
Download or read book Transcendence and Linear Relations of 1-Periods written by Annette Huber and published by Cambridge University Press. This book was released on 2022-05-26 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading experts explore the relation between periods and transcendental numbers, using a modern approach derived from the theory of motives.