Some Applications of a Bombieri-Type Theoremin Totally Real Number Fields

Autor:	Jürgen G. Hinz
Rok vydání:	2001
Předmět:	Discrete mathematics Combinatorics Almost prime Irreducible polynomial Mathematics::Number Theory General Mathematics Prime number Unique prime Primes in arithmetic progression Prime element Irreducible element Formula for primes Mathematics
Zdroj:	Monatshefte f�r Mathematik. 132:105-121
ISSN:	1436-5081 0026-9255
DOI:	10.1007/s006050170048
Popis:	The primary concern of this paper is to present three further applications of a multi-dimensional version of Bombieri’s theorem on primes in arithmetic progressions in the setting of a totally real algebraic number field K. First, we deal with the order of magnitude of a greatest (relative to its norm) prime ideal factor of \(\), where the product runs over prime arguments ω of a given irreducible polynomial F which lie in a certain lattice point region. Then, we turn our attention to the problem about the occurrence of algebraic primes in a polynomial sequence generated by an irreducible polynomial of K with prime arguments. Finally, we give further contributions to the binary Goldbach problem in K.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f7d085040f634f9a850549a52b216ea9 https://doi.org/10.1007/s006050170048 Zobrazit plný text záznamu Full text from SpringerLink