Pintz, János and Ruzsa, Z. Imre (2020) On Linnik’s approximation to Goldbach’s problem. II. ACTA MATHEMATICA HUNGARICA, 161 (2). pp. 569-582. ISSN 0236-5294
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Official URL: http://doi.org/10.1007/s10474-020-01077-8
Abstract
Linnik considered about 70 years ago the following approximation to the binary Goldbach problem. Is it possible to give a fixed integer K such that every sufficiently large even integer could be written as the sum of two primes and K powers of two? He solved the problem affirmatively with an unspecified large K. The first explicit result (K=54000) appeared at the end of the 1990's. In the present work we show that K= 8 powers of two suffices without supposing any unproved hypothesis. © 2020, Akadémiai Kiadó, Budapest, Hungary.
| Item Type: | Article |
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| Additional Information: | Export Date: 17 August 2020 Correspondence Address: Pintz, J.; Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13–15, Hungary; email: pintz.janos@renyi.hu Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFI Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFI, KKP 133819, K 119528 Funding text 1: Supported by the National Research Development and Innovation Office, NKFIH, K 119528 and KKP 133819. Funding Agency and Grant Number: National Research Development and Innovation Office, NKFIH [K 119528, KKP 133819] Funding text: Supported by the National Research Development and Innovation Office, NKFIH, K 119528 and KKP 133819. Export Date: 5 February 2021 Correspondence Address: Pintz, J.; Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13–15, Hungary; email: pintz.janos@renyi.hu Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH Funding details: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, NKFIH, KKP 133819, K 119528 Funding text 1: Supported by the National Research Development and Innovation Office, NKFIH, K 119528 and KKP 133819. Acknowledgement |
| Uncontrolled Keywords: | approximationto the Goldbach problem; Linnik–Goldbach problem; primes and powers of two; |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 28 Apr 2021 18:31 |
| Last Modified: | 28 Apr 2021 18:31 |
| URI: | http://real.mtak.hu/id/eprint/124682 |
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