János Pintz: On the density theorem of Halász and Turán

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. The crucial points of the proof  were Turán's powersum method and  an idea of Halász.  Later proofs  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. Similarly to the original works of Halász and Turán we can treat the case of L-functions as well.

For Zoom access please contact Andras Biro (biro.andras[a]renyi.hu).