Henryk Iwaniec, Rutgers University, Piscataway, NJ, and Emmanuel Kowalski, Université Bordeaux I, Talence, France.
+ Read more* Introduction
* Arithmetic functions
* Elementary theory of prime numbers
* Characters
* Summation formulas
* Classical analytic theory of L-functions
* Elementary sieve methods
* Bilinear forms and the large sieve
* Exponential sums
* The Dirichlet polynomials
* Zerodensity estimates
* Sums over finite fields
* Character sums
* Sums over primes
* Holomorphic modular forms
* Spectral theory of automorphic forms
* Sums of Kloosterman sums
* Primes in arithmetic progressions
* The least prime in an arithmetic progression
* The Goldbach problem
* The circle method
* Equidistribution
* Imaginary quadratic fields
* Effective bounds for the class number
* The critical zeros of the Riemann zeta function
* The spacing of zeros of the Riemann zeta-function
* Central values of L-functions
* Bibliography
* Index
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