Pintz, János (2022) On the density theorem of Halász and Turán. ACTA MATHEMATICA HUNGARICA, 166 (1). pp. 48-56. ISSN 0236-5294
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Official URL: https://doi.org/10.1007/s10474-021-01204-z
Abstract
Gábor Halász and Pál Turán were the first who proved unconditionally the Density Hypothesis for Riemann's zeta function in a fixed strip c(0) < Res < 1. They also showed that the Lindelof Hypothesis implies a surprisingly strong bound on the number of zeros with Re s >= c(1) > 3/4. In the present work we use an alternative approach to prove their result which does not use either Turan's power sum method or the large sieve.
| Item Type: | Article |
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| Additional Information: | Export Date: 20 February 2023 Correspondence Address: Pintz, J.; ELKH Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13–15, Hungary; email: pintz@renyi.hu Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, K 119528, KKP 133819 Funding text 1: Supported by the National Research Development and Innovation Office, NKFIH, K 119528 and KKP 133819. Acknowledgement |
| Uncontrolled Keywords: | Riemann's Zeta function; density theorem; density hypothesis; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 17 Mar 2023 09:11 |
| Last Modified: | 17 Mar 2023 09:11 |
| URI: | http://real.mtak.hu/id/eprint/162336 |
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