A Course in Analytic Number Theory

Marius Overholt

Editorial: American Mathematical Society, 2015
ISBN 10: 1470417065 / ISBN 13: 9781470417062
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New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de ref. de la librería

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Sinopsis: This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed.

About the Author: Marius Overholt , University of Tromso, Norway.

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Detalles bibliográficos

Título: A Course in Analytic Number Theory
Editorial: American Mathematical Society
Año de publicación: 2015
Encuadernación: HRD
Condición del libro: New

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1.

Overholt, Marius
Editorial: American Mathematical Society
ISBN 10: 1470417065 ISBN 13: 9781470417062
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Descripción American Mathematical Society. Estado de conservación: New. 1470417065 Orders ship same or next business day w/ free tracking. Choose Expedited shipping for fastest (2-6 business day) delivery. Satisfaction Guaranteed. Nº de ref. de la librería Z1470417065ZN

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Overholt, Marius
Editorial: American Mathematical Society (2015)
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Descripción American Mathematical Society, 2015. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9781470417062

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Marius Overholt
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Descripción American Mathematical Society, United States, 2015. Hardback. Estado de conservación: New. Language: English . Brand New Book. This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring s Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed. Nº de ref. de la librería AAN9781470417062

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Marius Overholt
Editorial: American Mathematical Society, United States (2015)
ISBN 10: 1470417065 ISBN 13: 9781470417062
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Descripción American Mathematical Society, United States, 2015. Hardback. Estado de conservación: New. Language: English . Brand New Book. This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring s Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed. Nº de ref. de la librería AAN9781470417062

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Overholt, Marius
Editorial: Amer Mathematical Society (2015)
ISBN 10: 1470417065 ISBN 13: 9781470417062
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Descripción Amer Mathematical Society, 2015. Hardcover. Estado de conservación: Brand New. 371 pages. 10.50x7.50x1.00 inches. In Stock. Nº de ref. de la librería __1470417065

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Marius Overholt
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Descripción American Mathematical Society, 2015. Estado de conservación: New. book. Nº de ref. de la librería ria9781470417062_rkm

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Marius Overholt
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Descripción American Mathematical Society, 2014. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería M1470417065

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Marius Overholt
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Descripción American Mathematical Society, 2014. Hardcover. Estado de conservación: Very Good. Great condition with minimal wear, aging, or shelf wear. Nº de ref. de la librería P021470417065

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Marius Overholt
Editorial: American Mathematical Society (2014)
ISBN 10: 1470417065 ISBN 13: 9781470417062
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Descripción American Mathematical Society, 2014. Hardcover. Estado de conservación: Like New. Almost new condition. Nº de ref. de la librería P011470417065

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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, A Course in Analytic Number Theory, Marius Overholt, This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem. The exposition is both clear and precise, reflecting careful attention to the needs of the reader. The text includes extensive historical notes, which occur at the ends of the chapters. The exercises range from introductory problems and standard problems in analytic number theory to interesting original problems that will challenge the reader. The author has made an effort to provide clear explanations for the techniques of analysis used. No background in analysis beyond rigorous calculus and a first course in complex function theory is assumed. Nº de ref. de la librería B9781470417062

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