Pregled bibliografske jedinice broj: 552625
On van der Corput property of shifted primes
On van der Corput property of shifted primes // Functiones et Approximatio Commentarii Mathematici, 48 (2013), 37-50 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 552625 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On van der Corput property of shifted primes
Autori
Slijepčević, Siniša
Izvornik
Functiones et Approximatio Commentarii Mathematici (0208-6573) 48
(2013);
37-50
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Sárközy theorem; recurrence; primes; di¤erence sets; positive de
niteness; van der Corput property; Fourier analysis
Sažetak
We prove that the upper bound for the van der Corput property of the set of shifted primes is O((log n)**(1+o(1)), giving an answer to a problem considered by Ruzsa and Montgomery for the set of shifted primes p - 1. We construct normed non-negative valued cosine polynomials with the spectrum in the set p - 1, p <= n, and a small free coe¢ cient a0 = O((log n)**(1+o(1)). This implies the same bound for the intersective property of the set p-1, and also bounds for several properties related to uniform distribution of related sets.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0372791-2803 - Ergodska svojstva proširenih dinamičkih sustava (Slijepčević, Siniša, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Siniša Slijepčević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
