Additive and multiplicative relations connecting conjugate algebraic numbers

Autor:	C.J Smyth
Rok vydání:	1986
Předmět:	Discrete mathematics Algebra and Number Theory Multiplicative function Zero (complex analysis) Algebraic number Conjugate Mathematics
Zdroj:	Journal of Number Theory. 23(2):243-254
ISSN:	0022-314X
DOI:	10.1016/0022-314x(86)90094-6
Popis:	We investigate the problem of finding for which sets of integers a 1 ,…, a k either of the equations Σ i = 1 k a i α i = 0 or Π i = 1 k α i a i = 1 has a non-trivial solution in (not necessarily distinct) conjugate algebraic numbers α 1 ,…, α k . The problem turns out to be connected with the existence of certain latin squares having zero determinant.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abdf7f7162ded36178341e79d4b12683 Zobrazit plný text záznamu