Sinopsis
One can describe Analytic Number Theory informally as being the elegant subject where ideas and concepts from real and complex analysis are applied to number-theoretic problems. This book is an overview of some important results in Analytic Number Theory. Topics include Dirichlet L-series, their analytic continuations and functional equations, including relevant supporting material on characters, Gamma functions and the Riemann Zeta-Function. We also examine Dirichlet's Theorem, giving the existence of infinitely many prime numbers congruent to a given "a modulo b" when "a" and "b" are coprime, the Prime Number Theorem for arithmetic progressions and the Poisson Summation Formula. We then discuss how these ideas can be applied to the theory of the so-called Negative Pell Equation, which is an interesting and unlikely application.
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Reseña del editor
One can describe Analytic Number Theory informally as being the elegant subject where ideas and concepts from real and complex analysis are applied to number-theoretic problems. This book is an overview of some important results in Analytic Number Theory. Topics include Dirichlet L-series, their analytic continuations and functional equations, including relevant supporting material on characters, Gamma functions and the Riemann Zeta-Function. We also examine Dirichlet's Theorem, giving the existence of infinitely many prime numbers congruent to a given "a modulo b" when "a" and "b" are coprime, the Prime Number Theorem for arithmetic progressions and the Poisson Summation Formula. We then discuss how these ideas can be applied to the theory of the so-called Negative Pell Equation, which is an interesting and unlikely application.
Biografía del autor
Jason Wanner obtained a first class degree in mathematics in 2008 and then completed his Masters (by research) degree in pure mathematics in 2010. He currently teaches mathematics to secondary school and sixth form students, and thoroughly enjoys this role.
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Topics in Analytic Number Theory
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LAP LAMBERT Academic Publishing Jul 2011, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -One can describe Analytic Number Theory informally as being the elegant subject where ideas and concepts from real and complex analysis are applied to number-theoretic problems. This book is an overview of some important results in Analytic Number Theory. Topics include Dirichlet L-series, their analytic continuations and functional equations, including relevant supporting material on characters, Gamma functions and the Riemann Zeta-Function. We also examine Dirichlet's Theorem, giving the existence of infinitely many prime numbers congruent to a given 'a modulo b' when 'a' and 'b' are coprime, the Prime Number Theorem for arithmetic progressions and the Poisson Summation Formula. We then discuss how these ideas can be applied to the theory of the so-called Negative Pell Equation, which is an interesting and unlikely application. 140 pp. Englisch. Nº de ref. del artículo: 9783845419800
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Topics in Analytic Number Theory
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Wanner JasonJason Wanner obtained a first class degree in mathematics in 2008 and then completed his Masters (by research) degree in pure mathematics in 2010. He currently teaches mathematics to secondary school and sixth form studen. Nº de ref. del artículo: 5481618
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Topics in Analytic Number Theory
Publicado por
LAP LAMBERT Academic Publishing Jul 2011, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
Nuevo
Taschenbuch
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -One can describe Analytic Number Theory informally as being the elegant subject where ideas and concepts from real and complex analysis are applied to number-theoretic problems. This book is an overview of some important results in Analytic Number Theory. Topics include Dirichlet L-series, their analytic continuations and functional equations, including relevant supporting material on characters, Gamma functions and the Riemann Zeta-Function. We also examine Dirichlet's Theorem, giving the existence of infinitely many prime numbers congruent to a given 'a modulo b' when 'a' and 'b' are coprime, the Prime Number Theorem for arithmetic progressions and the Poisson Summation Formula. We then discuss how these ideas can be applied to the theory of the so-called Negative Pell Equation, which is an interesting and unlikely application.Books on Demand GmbH, Überseering 33, 22297 Hamburg 140 pp. Englisch. Nº de ref. del artículo: 9783845419800
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Topics in Analytic Number Theory
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - One can describe Analytic Number Theory informally as being the elegant subject where ideas and concepts from real and complex analysis are applied to number-theoretic problems. This book is an overview of some important results in Analytic Number Theory. Topics include Dirichlet L-series, their analytic continuations and functional equations, including relevant supporting material on characters, Gamma functions and the Riemann Zeta-Function. We also examine Dirichlet's Theorem, giving the existence of infinitely many prime numbers congruent to a given 'a modulo b' when 'a' and 'b' are coprime, the Prime Number Theorem for arithmetic progressions and the Poisson Summation Formula. We then discuss how these ideas can be applied to the theory of the so-called Negative Pell Equation, which is an interesting and unlikely application. Nº de ref. del artículo: 9783845419800
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Topics in Analytic Number Theory
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LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
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Librería: preigu, Osnabrück, Alemania
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Taschenbuch. Condición: Neu. Topics in Analytic Number Theory | Jason Wanner | Taschenbuch | 140 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783845419800 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Nº de ref. del artículo: 106881034
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