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DISTRIBUTION OF COMPLEX ALGEBRAIC NUMBERS.

Authors :
G¨OTZE, FRIEDRICH
KALIADA, DZIANIS
ZAPOROZHETS, DMITRY
Source :
Proceedings of the American Mathematical Society; Jan2017, Vol. 145 Issue 1, p61-71, 11p
Publication Year :
2017

Abstract

Abstract. For a region Ω ⊂ C denote by Ψ(Q;Ω) the number of complex algebraic numbers in Ω of degree ≤ n and naive height ≤ Q. We show that....where ν is the Lebesgue measure on the complex plane and the function ψ will be given explicitly. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
145
Issue :
1
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
125282757
Full Text :
https://doi.org/10.1090/proc/13208