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  Analytic Number Theory
 

Analytic Number Theory

by Henryk Iwaniec And Emmanuel Kowalski

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  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 * IndexISBN 9780821887103
 


Pages : 615
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