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On approximations
of solutions of the equation $P(z,\ln z)=0$ by algebraic
numbers
Alexander Galochkin and Anastasia Godunova |
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Vol. 9 (2020), No. 4, 435–440
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Abstract |
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The paper is devoted to studying how well solutions of an equation , where , can be approximated with algebraic numbers. We prove a new bound with the help of a construction due to K. Mahler. |
Keywords
Diophantine approximation, algebraic numbers, logarithms
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Mathematical Subject Classification 2010
Primary: 11J82
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Milestones
Received: 30 December 2019
Revised: 11 February 2020
Accepted: 25 February 2020
Published: 5 November 2020
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Authors |
| Alexander Galochkin | |
| Department of Number Theory Moscow Lomonosov State University Moscow Russia |
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| Anastasia Godunova | |
| Department of Number Theory Moscow Lomonosov State University Moscow Russia |
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