Leírás
Abstract: Gábor Halász and Paul Turán were the first who could prove
fifty years ago the so called density theorem for the Riemann Zeta
function in a fixed strip Re s > 1-c with a small positive absolute
constant c and in a second work they showed analogue estimates for
Dirichlet L-functions as well. The crucial points of the proof were
Turán's powersum method and an idea of Halász. Later proofs (e.g.
Bombieri, Montgomery and others) used the large sieve combined with the
idea of Halász, avoiding Turán's method. We present another variant
which also uses Halász' idea but does not use either the large sieve or
Turán's method. In this second lecture we treat the case of
L-functions.
For Zoom access please contact Andras Biro (biro.andras[a]renyi.hu).