Stark's Conjectures: Recent Work and New Directions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834800
Total Pages : 234 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Stark's Conjectures: Recent Work and New Directions by : David Burns

Download or read book Stark's Conjectures: Recent Work and New Directions written by David Burns and published by American Mathematical Soc.. This book was released on 2004 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stark's conjectures on the behavior of $L$-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as non-abelian and $p$-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur. The book is suitable for graduate students and researchers interested in number theory.

Stark's Conjectures: Recent Work and New Directions

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821856932
Total Pages : 238 pages
Book Rating : 4.8/5 (569 download)

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Book Synopsis Stark's Conjectures: Recent Work and New Directions by : David Burns

Download or read book Stark's Conjectures: Recent Work and New Directions written by David Burns and published by American Mathematical Soc.. This book was released on 2004-09-16 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stark's conjectures on the behavior of $L$-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as non-abelian and $p$-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur. The book is suitable for graduate students and researchers interested in number theory.

Arithmetic of L-functions

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Publisher : American Mathematical Soc.
ISBN 13 : 0821886983
Total Pages : 517 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Arithmetic of L-functions by : Cristian Popescu

Download or read book Arithmetic of L-functions written by Cristian Popescu and published by American Mathematical Soc.. This book was released on with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Bloch-Kato Conjecture for the Riemann Zeta Function

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Publisher : Cambridge University Press
ISBN 13 : 1107492963
Total Pages : 317 pages
Book Rating : 4.1/5 (74 download)

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Book Synopsis The Bloch-Kato Conjecture for the Riemann Zeta Function by : John Coates

Download or read book The Bloch-Kato Conjecture for the Riemann Zeta Function written by John Coates and published by Cambridge University Press. This book was released on 2015-03-13 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level account of an important recent result concerning the Riemann zeta function.

Women in Numbers 2

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Publisher : American Mathematical Soc.
ISBN 13 : 1470410222
Total Pages : 218 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Women in Numbers 2 by : Chantal David

Download or read book Women in Numbers 2 written by Chantal David and published by American Mathematical Soc.. This book was released on 2013-12-10 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second Women in Numbers workshop (WIN2) was held November 6-11, 2011, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. During the workshop, group leaders presented open problems in various areas of number theory, and working groups tackled those problems in collaborations begun at the workshop and continuing long after. This volume collects articles written by participants of WIN2. Survey papers written by project leaders are designed to introduce areas of active research in number theory to advanced graduate students and recent PhDs. Original research articles by the project groups detail their work on the open problems tackled during and after WIN2. Other articles in this volume contain new research on related topics by women number theorists. The articles collected here encompass a wide range of topics in number theory including Galois representations, the Tamagawa number conjecture, arithmetic intersection formulas, Mahler measures, Newton polygons, the Dwork family, elliptic curves, cryptography, and supercongruences. WIN2 and this Proceedings volume are part of the Women in Numbers network, aimed at increasing the visibility of women researchers' contributions to number theory and at increasing the participation of women mathematicians in number theory and related fields. This book is co-published with the Centre de Recherches Mathématiques.

Algorithmic Number Theory

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Publisher : Springer
ISBN 13 : 354036076X
Total Pages : 599 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Algorithmic Number Theory by : Florian Hess

Download or read book Algorithmic Number Theory written by Florian Hess and published by Springer. This book was released on 2006-10-05 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, July 2006. The book presents 37 revised full papers together with 4 invited papers selected for inclusion. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.

Collected Works of John Tate

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Publisher : American Mathematical Soc.
ISBN 13 : 082189093X
Total Pages : 751 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Collected Works of John Tate by : Barry Mazur

Download or read book Collected Works of John Tate written by Barry Mazur and published by American Mathematical Soc.. This book was released on 2016-12-13 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these volumes, a reader will find all of John Tate's published mathematical papers—spanning more than six decades—enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.

Non-abelian Fundamental Groups and Iwasawa Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139505653
Total Pages : 321 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Non-abelian Fundamental Groups and Iwasawa Theory by : John Coates

Download or read book Non-abelian Fundamental Groups and Iwasawa Theory written by John Coates and published by Cambridge University Press. This book was released on 2011-12-15 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the interaction between several key aspects of Galois theory based on Iwasawa theory, fundamental groups and automorphic forms. These ideas encompass a large portion of mainstream number theory and ramifications that are of interest to graduate students and researchers in number theory, algebraic geometry, topology and physics.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

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Publisher : World Scientific
ISBN 13 : 9813272899
Total Pages : 5396 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by : Sirakov Boyan

Download or read book Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) written by Sirakov Boyan and published by World Scientific. This book was released on 2019-02-27 with total page 5396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Recent Advances in Operator-Related Function Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 082183925X
Total Pages : 214 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Recent Advances in Operator-Related Function Theory by : Alec L. Matheson

Download or read book Recent Advances in Operator-Related Function Theory written by Alec L. Matheson and published by American Mathematical Soc.. This book was released on 2006 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.

The $p$-Harmonic Equation and Recent Advances in Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836102
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The $p$-Harmonic Equation and Recent Advances in Analysis by : Pietro Poggi-Corradini

Download or read book The $p$-Harmonic Equation and Recent Advances in Analysis written by Pietro Poggi-Corradini and published by American Mathematical Soc.. This book was released on 2005 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.

Mathematical Studies in Nonlinear Wave Propagation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821833499
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Studies in Nonlinear Wave Propagation by : Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation

Download or read book Mathematical Studies in Nonlinear Wave Propagation written by Regional Research Conference on Mathematical Methods in Nonlinear Wave Propagation and published by American Mathematical Soc.. This book was released on 2005 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lively discussions and stimulating research were part of a five-day conference on Mathematical Methods in Nonlinear Wave Propagation sponsored by the NSF and CBMS. This volume is a collection of lectures and papers stemming from that event. Leading experts present dynamical systems and chaos, scattering and spectral theory, nonlinear wave equations, optimal control, optical waveguide design, and numerical simulation. The book is suitable for a diverse audience of mathematical specialists interested in fiber optic communications and other nonlinear phenomena. It is also suitable for engineers and other scientists interested in the mathematics of nonlinear wave propagation.

Complex Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836250
Total Pages : 218 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Dynamics by : Robert L. Devaney

Download or read book Complex Dynamics written by Robert L. Devaney and published by American Mathematical Soc.. This book was released on 2006 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.

Integer Points in Polyhedra --- Geometry, Number Theory, Algebra, Optimization

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834592
Total Pages : 191 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Integer Points in Polyhedra --- Geometry, Number Theory, Algebra, Optimization by : Alexander Barvinok

Download or read book Integer Points in Polyhedra --- Geometry, Number Theory, Algebra, Optimization written by Alexander Barvinok and published by American Mathematical Soc.. This book was released on 2005 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AMS-IMS-SIAM Summer Research Conference on Integer Points in Polyhedra took place in Snowbird (UT). This proceedings volume contains original research and survey articles stemming from that event. Topics covered include commutative algebra, optimization, discrete geometry, statistics, representation theory, and symplectic geometry. The book is suitable for researchers and graduate students interested in combinatorial aspects of the above fields.

Snowbird Lectures in Algebraic Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821837192
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Snowbird Lectures in Algebraic Geometry by : Ravi Vakil

Download or read book Snowbird Lectures in Algebraic Geometry written by Ravi Vakil and published by American Mathematical Soc.. This book was released on 2005 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry. The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.

Snowbird Lectures on String Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821836633
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Snowbird Lectures on String Geometry by : AMS-IMS-SIAM Joint Summer Research Conference on String Geometry

Download or read book Snowbird Lectures on String Geometry written by AMS-IMS-SIAM Joint Summer Research Conference on String Geometry and published by American Mathematical Soc.. This book was released on 2006 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interaction and cross-fertilization of mathematics and physics is ubiquitous in the history of both disciplines. In particular, the recent developments of string theory have led to some relatively new areas of common interest among mathematicians and physicists, some of which are explored in the papers in this volume. These papers provide a reasonably comprehensive sampling of the potential for fruitful interaction between mathematicians and physicists that exists as a result of string theory.

The Geometry of Riemann Surfaces and Abelian Varieties

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Publisher : American Mathematical Soc.
ISBN 13 : 0821838555
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Geometry of Riemann Surfaces and Abelian Varieties by : José María Muñoz Porras

Download or read book The Geometry of Riemann Surfaces and Abelian Varieties written by José María Muñoz Porras and published by American Mathematical Soc.. This book was released on 2006 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the papers in this book deal with the theory of Riemann surfaces (moduli problems, automorphisms, etc.), abelian varieties, theta functions, and modular forms. Some of the papers contain surveys on the recent results in the topics of current interest to mathematicians, whereas others contain new research results.