Analytic Number Theory

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002
2006
ISBN: 978-3-540-36363-7
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 217 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 359 g

Reihe: C.I.M.E. Foundation Subseries

The four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials; counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers; the theory of Siegel’s zeros and of exceptional characters of L-functions; and an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg.

Zielgruppe

Research

Autoren/Hrsg.

Friedlander, J. B.

Heath-Brown, D. R.

Iwaniec, H.

Kaczorowski, J.

Perelli, A.

Viola, C.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

Producing Prime Numbers via Sieve Methods.- Counting Rational Points on Algebraic Varieties.- Conversations on the Exceptional Character.- Axiomatic Theory of L-Functions: the Selberg Class.