Opera De Cribro

Sieve questions Elementary considerations on arithmetic functions Bombieri's sieve Sieve of Eratosthenes-Legendre Sieve principles and terminology Brun's sieve--The big bang Selberg's sieve--Kvadrater er positiv Sieving by many residue classes The large sieve Molecular structure of sieve weights The beta-sieve The linear sieve Applications to linear sequences The semi-linear sieve Applications--Choice but not prime Asymptotic sieve and the parity principle Combinatorial identities Asymptotic sieve for primes Equidistribution of quadratic roots Capturing Gaussian primes Primes represented by polynomials Level of distribution of arithmetic sequences Primes in short intervals The least prime in an arithmetic progression Almost-prime sieve Mean-values of arithmetic functions Differential-difference equations Bibliography Index