# Turán Week

## in the Alfréd Rényi Institute

## 2-6 October, 2000

## To commemorate the 90th anniversary of Paul Turán's birth

All Institute Seminar on the Power Sum Method
Monday 14:00 Introduction to the power sum method *by G. Halász*
Extensions of Turán's first main theorem *by F. Nazarov*
Applications of the power sum method in number theory *by J. Pintz*
Estimation of a pure power sum *by A. Bíró*
Turán Memorial Lectures of 2000
*H.L. Montgomery*:
Tuesday 14:00 The local distribution of prime numbers and the zeros
of the Riemann zeta function
Wednesday 14:00 Beurling's generalized primes
Thursday 14:00 Greedy sums of distinct squares
Number Theory Seminar
Tuesday 15:30 Mellin transforms of the second and the fourth powers of
Riemann's zeta-function *by M. Jutila*
The fourth moment of the Dedekind zeta-function of imaginary
quadratic fields *by Y. Motohashi*
On additive arithmetic functions *by I.Z. Ruzsa*
On multiplicative properties of sum sets
*by K. Gyõry and A. Sárközy*
Analysis Seminar
Monday 17:00 Turan and special functions *by R. Askey*
Wednesday 15:30 On a Tchebyshev type problem *by Á. Elbert*
The rough and fine theory of interpolation *by P. Vértesi*
On rational approximation *by J. Szabados*
Combinatorics Seminar
Thursday 15:30 Turán type extremal problems. An introduction *by M. Simonovits*
Ramsey-Turán type theorems *by E. Szemerédi*
Turán's theorem, 60 years later *by B. Bollobás*
On Turán numbers *by A. Sidorenko*
Extremal hypergraph results for triple systems *by Z. Füredi*
Friday 16:30 Two applications of Turán's theorem *by G.O.H. Katona*
Turán and the Sylvester-Hadamard conjecture *by G. Szekeres*
Algebra Seminar
Friday 15:00 Statistical properties of partitions *by M. Szalay*
Statistical group theory *by P.P. Pálfy*
Set Theory Seminar
Friday 14:00 Set mappings *by P. Komjáth*
Banquet
Friday 19:00 Everyone may speak of his or her relation to Turán, his or her
memories of him.
Those wishing to take part or speak on the banquet should indicate this wish to
G. Halász (turanhet@renyi.hu)