Periods And Special Functions In Transcendence

Author : Tretkoff Paula B
Publisher : World Scientific
Page : 228 pages
File Size : 42,8 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.

Author : Paula Tretkoff
Publisher : Unknown
Page : 128 pages
File Size : 42,5 Mb
Release : 2017
Category : MATHEMATICS
ISBN : 1786342952

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Periods and Special Functions in Transcendence by Paula Tretkoff 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."--Publisher's website.

Author : Annette Huber,Gisbert Wüstholz
Publisher : Cambridge University Press
Page : 265 pages
File Size : 46,8 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.

Author : Alan Baker
Publisher : Cambridge University Press
Page : 185 pages
File Size : 55,9 Mb
Release : 2022-06-09
Category : Computers
ISBN : 9781009229944

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Transcendental Number Theory by Alan Baker Pdf

Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.

Author : Samarendra Kumar Sinha
Publisher : Unknown
Page : 332 pages
File Size : 54,9 Mb
Release : 1995
Category : Electronic
ISBN : MINN:31951D01859371P

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Periods of T-motives and Special Functions in Characteristic P by Samarendra Kumar Sinha Pdf

Author : Michel Waldschmidt
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 49,6 Mb
Release : 1998
Category : Nombres, Théorie des - Congrès
ISBN : 9780821806067

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Number Theory by Michel Waldschmidt Pdf

To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory, and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.

Author : Alin Bostan,Kilian Raschel
Publisher : Springer Nature
Page : 544 pages
File Size : 47,6 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.

Author : D.W. Masser
Publisher : Springer
Page : 158 pages
File Size : 44,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540374107

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Elliptic Functions and Transcendence by D.W. Masser Pdf

Author : Rolf-Peter Holzapfel,Muhammed Uludag,M. Yoshida
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 55,9 Mb
Release : 2007-06-28
Category : Mathematics
ISBN : 9783764382841

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Arithmetic and Geometry Around Hypergeometric Functions by Rolf-Peter Holzapfel,Muhammed Uludag,M. Yoshida Pdf

This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.

Author : Edward B. Burger,Robert Tubbs
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 42,9 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.

Author : Gregory Chudnovsky
Publisher : American Mathematical Soc.
Page : 464 pages
File Size : 53,6 Mb
Release : 1984
Category : Mathematics
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.

Author : M. Ram Murty,Purusottam Rath
Publisher : Springer
Page : 219 pages
File Size : 46,9 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.

Author : David Goss,David R. Hayes,Michael Rosen
Publisher : Walter de Gruyter
Page : 493 pages
File Size : 42,5 Mb
Release : 2011-06-24
Category : Mathematics
ISBN : 9783110886153

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The Arithmetic of Function Fields by David Goss,David R. Hayes,Michael Rosen Pdf

Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Author : Bruce C. Berndt,Harold Diamond,Adolf J Hildebrand
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 44,8 Mb
Release : 1996-05-01
Category : Mathematics
ISBN : 0817639330

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Analytic Number Theory:The Halberstam Festschrift 2 by Bruce C. Berndt,Harold Diamond,Adolf J Hildebrand Pdf

The second of two volumes presenting papers from an international conference on analytic number theory. The two volumes contain 50 papers, with an emphasis on topics such as sieves, related combinatorial aspects, multiplicative number theory, additive number theory, and Riemann zeta-function.

Author : Hershel M. Farkas,Robert C. Gunning,Marvin I. Knopp,B. A. Taylor
Publisher : Springer Science & Business Media
Page : 567 pages
File Size : 54,7 Mb
Release : 2012-09-18
Category : Mathematics
ISBN : 9781461440741

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From Fourier Analysis and Number Theory to Radon Transforms and Geometry by Hershel M. Farkas,Robert C. Gunning,Marvin I. Knopp,B. A. Taylor Pdf

​​​A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.​A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.