Articles liés à Topics in Analytic Number Theory
Synopsis
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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Présentation de l'éditeur
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.
Biographie de l'auteur
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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- ÉditeurLAP LAMBERT Academic Publishing
- Date d'édition2011
- ISBN 10 3845419806
- ISBN 13 9783845419800
- ReliureBroché
- Langueanglais
- Nombre de pages140
- Coordonnées du fabricantnon disponible
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Topics in Analytic Number Theory
Edité par
LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3845419806
ISBN 13 : 9783845419800
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : 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. N° de réf. du vendeur 5481618
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Topics in Analytic Number Theory
Edité par
LAP LAMBERT Academic Publishing, 2011
ISBN 10 : 3845419806
ISBN 13 : 9783845419800
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783845419800
Quantité disponible : 1 disponible(s)
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Topics in Analytic Number Theory
Edité par
LAP LAMBERT Academic Publishing Jul 2011, 2011
ISBN 10 : 3845419806
ISBN 13 : 9783845419800
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783845419800
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Topics in Analytic Number Theory
Edité par
LAP LAMBERT Academic Publishing Jul 2011, 2011
ISBN 10 : 3845419806
ISBN 13 : 9783845419800
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783845419800
Quantité disponible : 2 disponible(s)