Lectures on the Riemann Zeta Function
Iwaniec, H.
ISBN 10: 1470418517 ISBN 13: 9781470418519
Editorial: Amer Mathematical Society, 2014
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Descripción
Descripción:
119 pages. 9.75x6.75x0.25 inches. In Stock. N° de ref. del artículo 1470418517
Sinopsis:
The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics.
The present book consists of two parts. The first part covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood. The second part gives a complete presentation of Levinson's method for zeros on the critical line, which allows one to prove, in particular, that more than one-third of non-trivial zeros of zeta are on the critical line. This approach and some results concerning integrals of Dirichlet polynomials are new. There are also technical lemmas which can be useful in a broader context.
Acerca del autor: H. Iwaniec, Rutgers University, Piscataway, NJ, USA.
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Detalles bibliográficos
Título: Lectures on the Riemann Zeta Function
Editorial: Amer Mathematical Society
Año de publicación: 2014
Encuadernación: Paperback
Condición: Brand New
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Lectures on the Riemann Zeta Function
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American Mathematical Society, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
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Condición: New. Series: University Lecture Series. Num Pages: 119 pages. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 229 x 152. . . 2014. Paperback. . . . . Nº de ref. del artículo: V9781470418519
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Lectures on the Riemann Zeta Function
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MP-AMM American Mathematical, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
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Lectures on the Riemann Zeta Function
Publicado por
Amer Mathematical Society, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
Nuevo
Paperback
Librería: Revaluation Books, Exeter, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Brand New. 119 pages. 9.75x6.75x0.25 inches. In Stock. Nº de ref. del artículo: __1470418517
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Lectures on the Riemann Zeta Function
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American Mathematical Society, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
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Lectures on the Riemann Zeta Function
Publicado por
American Mathematical Society, US, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
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Paperback
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Paperback. Condición: New. The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics.The present book consists of two parts. The first part covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood. The second part gives a complete presentation of Levinson's method for zeros on the critical line, which allows one to prove, in particular, that more than one-third of non-trivial zeros of zeta are on the critical line. This approach and some results concerning integrals of Dirichlet polynomials are new. There are also technical lemmas which can be useful in a broader context. Nº de ref. del artículo: LU-9781470418519
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Lectures on the Riemann Zeta Function
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ISBN 10: 1470418517
ISBN 13: 9781470418519
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Lectures on the Riemann zeta function. University lecture series; vol. 62.
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Providence, American Mathematical Society, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
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Softcover. VII, [1], 119 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05207 9781470418519 Sprache: Englisch Gewicht in Gramm: 550. Nº de ref. del artículo: 2491455
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Iwaniec, H: Lectures on the Riemann Zeta Function
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American Mathematical Society, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
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Condición: New. KlappentextrnrnThe famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics. This book covers classical mater. Nº de ref. del artículo: 595975000
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Lectures on the Riemann Zeta Function
Publicado por
American Mathematical Society, US, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
Nuevo
Paperback
Librería: Rarewaves.com USA, London, LONDO, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: New. The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex variable. The famous Riemann Hypothesis, asserting that all of the non-trivial zeros of zeta are on a critical line in the complex plane, is one of the most important unsolved problems in modern mathematics.The present book consists of two parts. The first part covers classical material about the zeros of the Riemann zeta function with applications to the distribution of prime numbers, including those made by Riemann himself, F. Carlson, and Hardy-Littlewood. The second part gives a complete presentation of Levinson's method for zeros on the critical line, which allows one to prove, in particular, that more than one-third of non-trivial zeros of zeta are on the critical line. This approach and some results concerning integrals of Dirichlet polynomials are new. There are also technical lemmas which can be useful in a broader context. Nº de ref. del artículo: LU-9781470418519
Cantidad disponible: 2 disponibles
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Lectures on the Riemann Zeta Function
Publicado por
American Mathematical Society, 2014
ISBN 10: 1470418517
ISBN 13: 9781470418519
Nuevo
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Condición: New. Series: University Lecture Series. Num Pages: 119 pages. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 229 x 152. . . 2014. Paperback. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9781470418519
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