On measures of polynomials in several variables

Autor:	C.J. Smyth
Rok vydání:	1981
Předmět:	Polynomial Pure mathematics General Mathematics Mahler measure Measure (mathematics) Central limit theorem Exponential function Mathematics
Zdroj:	Bulletin of the Australian Mathematical Society. 23:49-63
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972700006894
Popis:	The measure of a polynomial is defined as the exponential of a certain intractable-looking integral. However, it is shown how the measures of certain polynomials can be evaluated explicitly: when all their irreducible factors are linear, and belong to one of two special classes. Asymptotic values for the measures of two sequences of polynomials in large numbers of variables are also found. The proof of this result uses a quantitative form of the central limit theorem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::63f3a2f8ea07f628280ee69c97735c3d https://doi.org/10.1017/s0004972700006894 Zobrazit plný text záznamu