Henryk Iwaniec's Books

Analytic Number Theory

By: Henryk Iwaniec,Emmanuel Kowalski

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Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. One of the primary attractions of this theory is its vast diversity of concepts and methods. The main goals of this book are to show the scope of the theory, both in classical and modern directions, and to exhibit its wealth and prospects, beautiful theorems, and powerful techniques. The book is written with graduate students in mind, and the authors nicely balance clarity, completeness, and generality. The exercises in each section serve dual purposes, some intended to improve readers' understanding of the subject and others providing additional information. Formal prerequisites for the major part of the book do not go beyond calculus, complex analysis, integration, and Fourier series and integrals. In later chapters automorphic forms become important, with much of the necessary information about them included in two survey chapters.

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Page Count

615

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470467704

ISBN 13

9781470467708

Topics in Classical Automorphic Forms

By: Henryk Iwaniec

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Topics in Classical Automorphic Forms

By: Henryk Iwaniec

This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR

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274

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821807773

ISBN 13

9780821807774

Spectral Methods of Automorphic Forms

Second Edition

By: Henryk Iwaniec

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Spectral Methods of Automorphic Forms

Second Edition

By: Henryk Iwaniec

Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.

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Page Count

220

Publisher

American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain

Published Date

ISBN 10

1470466228

ISBN 13

9781470466220

Opera de Cribro

By: John B. Friedlander,Henryk Iwaniec

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Opera de Cribro

By: John B. Friedlander,Henryk Iwaniec

This is a true masterpiece that will prove to be indispensable to the serious researcher for many years to come. --Enrico Bombieri, Institute for Advanced Study This is a truly comprehensive account of sieves and their applications, by two of the world's greatest authorities. Beginners will find a thorough introduction to the subject, with plenty of helpful motivation. The more practised reader will appreciate the authors' insights into some of the more mysterious parts of the theory, as well as the wealth of new examples. --Roger Heath-Brown, University of Oxford, Fellow of Royal Society This is a comprehensive and up-to-date treatment of sieve methods. The theory of the sieve is developed thoroughly with complete and accessible proofs of the basic theorems. Included is a wide range of applications, both to traditional questions such as those concerning primes, and to areas previously unexplored by sieve methods, such as elliptic curves, points on cubic surfaces and quantum ergodicity. New proofs are given also of some of the central theorems of analytic number theory; these proofs emphasize and take advantage of the applicability of sieve ideas. The book contains numerous comments which provide the reader with insight into the workings of the subject, both as to what the sieve can do and what it cannot do. The authors reveal recent developements by which the parity barrier can be breached, exposing golden nuggets of the subject, previously inaccessible. The variety in the topics covered and in the levels of difficulty encountered makes this a work of value to novices and experts alike, both as an educational tool and a basic reference.

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Page Count

554

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821849700

ISBN 13

9780821849705

The Monodromy Group

By: Henryk Zoladek

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The Monodromy Group

By: Henryk Zoladek

In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.

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Page Count

589

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764375361

ISBN 13

9783764375362

Analytic Number Theory

By: Henryk Iwaniec,Emmanuel Kowalski

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Analytic Number Theory

By: Henryk Iwaniec,Emmanuel Kowalski

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Page Count

632

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821836331

ISBN 13

9780821836330

Spectral Methods of Automorphic Forms

Second Edition

By: Henryk Iwaniec

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Spectral Methods of Automorphic Forms

Second Edition

By: Henryk Iwaniec

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Page Count

220

Publisher

American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain

Published Date

ISBN 10

1470466228

ISBN 13

9781470466220

Topics in Classical Automorphic Forms

By: Henryk Iwaniec

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Topics in Classical Automorphic Forms

By: Henryk Iwaniec

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Page Count

274

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821807773

ISBN 13

9780821807774

In Vain: By Henryk Sienkiewicz

By: Henryk Sienkiewicz,Jeremiah Curtin

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In Vain: By Henryk Sienkiewicz

By: Henryk Sienkiewicz,Jeremiah Curtin

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

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Page Count

242

Publisher

Wentworth Press

Published Date

ISBN 10

0530514532

ISBN 13

9780530514536

Without Dogma

By: Henryk Sienkiewicz

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Without Dogma

By: Henryk Sienkiewicz

In Without Dogma we have a remarkable work, by a writer known only in this country through his historical novels and a few words concerning this novel and its author may not be without interest.

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Page Count

328

Published Date

ISBN 10

0809567121

ISBN 13

9780809567126

Book's by Henryk Iwaniec

Analytic Number Theory

Analytic Number Theory

Topics in Classical Automorphic Forms

Topics in Classical Automorphic Forms

Spectral Methods of Automorphic Forms

Spectral Methods of Automorphic Forms

Opera de Cribro

Opera de Cribro

The Monodromy Group

The Monodromy Group

Analytic Number Theory

Analytic Number Theory

Spectral Methods of Automorphic Forms

Spectral Methods of Automorphic Forms

Topics in Classical Automorphic Forms

Topics in Classical Automorphic Forms

In Vain: By Henryk Sienkiewicz

In Vain: By Henryk Sienkiewicz

Without Dogma

Without Dogma

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