内容

目次

Multiplicative functions and small divisors.- Lectures on the Thue Principle.- Polynomials with low height and prescribed vanishing.- On the irregularities of distribution and approximate evaluation of certain functions II.- Simple zeros of the zeta-function of a quadratic number field II.- Differential difference equations associated with sieves.- Primes in arithmetic progressions and related topics.- Applications of Guinand’s formula.- Analytic number theory on GL(r,R).- Pair correlation and primes in short intervals.- One and two dimensional exponential sums.- Non-vanishing of certain values of L-functions.- On averages of exponential sums over primes.- The distribution of ?(n) among numbers with no large prime factors.- On the size of $$\sum\limits_{\text{n} \leqslant \text{x}} {\text{d(n)e(nx)}}$$.- Another note on Baker’s Theorem.- Sums of polygonal numbers.- On the density of B2-bases.- Statistical properties of eigenvalues of the Hecke operators.- Transcendence theory over non-local fields.