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Distribution of complex algebraic numbers. / Götze, Friedrich; Kaliada, Dzianis; Zaporozhets, Dmitry.

In: Proceedings of the American Mathematical Society, Vol. 145, No. 1, 01.01.2017, p. 61-71.

Research output: Contribution to journal › Article › peer-review

Harvard

Götze, F, Kaliada, D & Zaporozhets, D 2017, 'Distribution of complex algebraic numbers', Proceedings of the American Mathematical Society, vol. 145, no. 1, pp. 61-71. https://doi.org/10.1090/proc/13208

APA

Götze, F., Kaliada, D., & Zaporozhets, D. (2017). Distribution of complex algebraic numbers. Proceedings of the American Mathematical Society, 145(1), 61-71. https://doi.org/10.1090/proc/13208

Vancouver

Götze F, Kaliada D, Zaporozhets D. Distribution of complex algebraic numbers. Proceedings of the American Mathematical Society. 2017 Jan 1;145(1):61-71. https://doi.org/10.1090/proc/13208

Author

Götze, Friedrich ; Kaliada, Dzianis ; Zaporozhets, Dmitry. / Distribution of complex algebraic numbers. In: Proceedings of the American Mathematical Society. 2017 ; Vol. 145, No. 1. pp. 61-71.

BibTeX

@article{78e0f6aa3e714ad3ab0edc080f50b30a,
title = "Distribution of complex algebraic numbers",
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 (Formula Presented) where ν is the Lebesgue measure on the complex plane and the function ψ will be given explicitly.",
keywords = "Algebraic numbers, Distribution of algebraic numbers, Integral polynomials",
author = "Friedrich G{\"o}tze and Dzianis Kaliada and Dmitry Zaporozhets",
year = "2017",
month = jan,
day = "1",
doi = "10.1090/proc/13208",
language = "English",
volume = "145",
pages = "61--71",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - Distribution of complex algebraic numbers

AU - Götze, Friedrich

AU - Kaliada, Dzianis

AU - Zaporozhets, Dmitry

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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 (Formula Presented) where ν is the Lebesgue measure on the complex plane and the function ψ will be given explicitly.

AB - 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 (Formula Presented) where ν is the Lebesgue measure on the complex plane and the function ψ will be given explicitly.

KW - Algebraic numbers

KW - Distribution of algebraic numbers

KW - Integral polynomials

UR - http://www.scopus.com/inward/record.url?scp=84994253213&partnerID=8YFLogxK

U2 - 10.1090/proc/13208

DO - 10.1090/proc/13208

M3 - Article

AN - SCOPUS:84994253213

VL - 145

SP - 61

EP - 71

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 1

ER -

ID: 126286383