Pregled bibliografske jedinice broj: 1210250
Splitting of primes in number fields generated by points on some modular curves
Splitting of primes in number fields generated by points on some modular curves // Research in number theory, 8 (2022), 2; 28, 18 doi:10.1007/s40993-022-00325-w (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1210250 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Splitting of primes in number fields generated by
points on some modular curves
Autori
Najman, Filip ; Trbović, Antonela
Izvornik
Research in number theory (2522-0160) 8
(2022), 2;
28, 18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
modular curves ; splitting of primes ; number fields
Sažetak
We study the splitting of primes in number fields generated by points on modular curves. Momose (Nagoya Math J 96:139-165, 1984) was the first to notice that quadratic points on X1(N) generate quadratic fields over which certain primes split in a particular way and his results were later expanded upon by Krumm (Quadratic Points on Modular Curves. PhD thesis, University of Georgia, 2013). We prove results about the splitting behaviour of primes in quadratic fields generated by points on the modular curves X0(N) which are hyperelliptic (except for N=37) and in cubic fields generated by points on X1(2, 14).
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
