Analytic Number Theory Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11–18, 2002 /

• Main Authors: Friedlander, J. B. (Author), Heath-Brown, D. R. (Author), Iwaniec, H. (Author), Kaczorowski, J. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Perelli, Alberto (Editor), Viola, Carlo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Mathematics, 1891
• Subjects: Mathematics.; Algebraic geometry.; Number theory.; Number Theory.; Algebraic Geometry.

The four contributions collected in this volume deal with several advanced results in analytic number theory. Friedlander’s paper contains some recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials. Heath-Brown's lecture...

Table of Contents:

• 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.