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Inhaltsangabe
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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- VerlagLAP LAMBERT Academic Publishing
- Erscheinungsdatum2011
- ISBN 10 3845419806
- ISBN 13 9783845419800
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten140
- Kontakt zum HerstellerNicht verfügbar
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Topics in Analytic Number Theory
Verlag:
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
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Zustand: 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. Bestandsnummer des Verkäufers 5481618
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Topics in Analytic Number Theory
Verlag:
LAP LAMBERT Academic Publishing, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9783845419800
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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
Neu
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Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9783845419800
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Topics in Analytic Number Theory
Verlag:
LAP LAMBERT Academic Publishing Jul 2011, 2011
ISBN 10: 3845419806
ISBN 13: 9783845419800
Neu
Taschenbuch
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Taschenbuch. Zustand: Neu. 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. Bestandsnummer des Verkäufers 9783845419800
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