Lectures on the Riemann Zeta Function (University Lecture Series) - Tapa blanda

Iwaniec, H.

 
9781470418519: Lectures on the Riemann Zeta Function (University Lecture Series)
Tapa blanda
ISBN 10: 1470418517 ISBN 13: 9781470418519
Editorial: American Mathematical Society, 2014

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.

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Acerca del autor

H. Iwaniec, Rutgers University, Piscataway, NJ, USA.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2014
Idioma
Inglés
ISBN 10 
1470418517
ISBN 13 
9781470418519
Encuadernación
Tapa blanda
Número de páginas
119
Contacto del fabricante
no disponible
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Mare Nostrum Group B.V.
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