Denna webbshop är stängd för köp.
Klicka här för mer information

Lectures on the Riemann Zeta Function
  • Bandtyp: Pocket
  • Språk: Engelska
  • Utgiven: 20141130
  • Antal sidor: 119
  • Vikt i gram: 238
  • ISBN10:1470418517
  • ISBN13:9781470418519

Lectures on the Riemann Zeta Function

(Pocket)
Beskrivning:

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.

Kundrecensioner och bloggar

Ingår i följande avdelningar

Ingår i följande bibliotekskategorier

Sök fler böcker:

Kunder som köpt denna bok har
även köpt:
Skotten i Köpenhamn :  ett reportage om
Vintermörker :  samlade spänningshistori
Uppgång och fall
Uppgång och fall
av Strömquist, Liv
Miniatyrmakaren
Miniatyrmakaren
av Burton, Jessie
Min mors självbiografi
Min mors självbiografi
av Kincaid, Jamaica