An application of algebraic sieve theory

Autor:	Jürgen G. Hinz
Rok vydání:	2003
Předmět:	Discrete mathematics Algebraic cycle Mathematics::Number Theory General Mathematics Algebraic surface Real algebraic geometry Algebraic extension Dimension of an algebraic variety Algebraic function Algebraic closure Mathematics Algebraic element
Zdroj:	Archiv der Mathematik. 80:586-599
ISSN:	1420-8938 0003-889X
DOI:	10.1007/s00013-003-4624-1
Popis:	Let K be a fixed totally real algebraic number field of finite degree over the rationals. The theme of this paper is the problem about the occurrence of algebraic almost-primes in a polynomial sequence generated by an irreducible polynomial of K with prime arguments. The method is based on a weighted upper and lower linear Selberg-type sieve in K and makes use of a multidimensional algebraic version of Bombieri’s theorem on primes in arithmetic progressions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e910d48dcec654f87a40cf48ea5029f6 https://doi.org/10.1007/s00013-003-4624-1 Zobrazit plný text záznamu Full text from SpringerLink