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2020 On approximations of solutions of the equation $P(z,\ln z)=0$ by algebraic numbers
Alexander Galochkin, Anastasia Godunova
Mosc. J. Comb. Number Theory 9(4): 435-440 (2020). DOI: 10.2140/moscow.2020.9.435

Abstract

The paper is devoted to studying how well solutions of an equation P(z,lnz)=0, where P(x,y)[x,y], can be approximated with algebraic numbers. We prove a new bound with the help of a construction due to K. Mahler.

Citation

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Alexander Galochkin. Anastasia Godunova. "On approximations of solutions of the equation $P(z,\ln z)=0$ by algebraic numbers." Mosc. J. Comb. Number Theory 9 (4) 435 - 440, 2020. https://doi.org/10.2140/moscow.2020.9.435

Information

Received: 30 December 2019; Revised: 11 February 2020; Accepted: 25 February 2020; Published: 2020
First available in Project Euclid: 12 November 2020

zbMATH: 07272360
MathSciNet: MR4170707
Digital Object Identifier: 10.2140/moscow.2020.9.435

Subjects:
Primary: 11J82

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.9 • No. 4 • 2020
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