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(rR). - 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. Language: English