A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

On a general density theorem

Volume 214 / 2024

János Pintz Acta Arithmetica 214 (2024), 389-398 MSC: Primary 11M26; Secondary 11M06 DOI: 10.4064/aa230706-2-3 Published online: 15 April 2024

Abstract

Following the pioneering work of Halász and Turán we prove a general zero-density theorem for a large class of Dirichlet series, containing the Riemann and Dedekind zeta functions. Owing to the application of an idea of Halász (contained in the above mentioned work) and a sharp Vinogradov-type estimate for the Riemann zeta function (due to Heath-Brown) the results are particularly sharp in the neighborhood of the boundary line Re $s=1$.

Authors

  • János PintzHUN-REN Alfréd Rényi Mathematical Institute
    H-1053 Budapest, Hungary
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image