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On a paper by Nikolaev. (English) Zbl 1482.11097

Summary: The purpose of this note is to point out that the paper “On algebraic values of function \(\exp (2\pi i x + \log \log y)\)” by I. Nikolaev published in [Ramanujan J. 47, No. 2, 417–425 (2018; Zbl 1423.11123)], is erroneous.

MSC:

11J81 Transcendence (general theory)
11R37 Class field theory

Citations:

Zbl 1423.11123
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References:

[1] Lang, S., Introduction to Transcendental Numbers (1966), Reading: Addison-Wesley Publishing Co., Reading · Zbl 0144.04101
[2] Nikolaev, I., On algebraic values of function \(\exp (2\pi i x + \log \log y)\), Ramanujan J., 47, 417-425 (2018) · Zbl 1423.11123 · doi:10.1007/s11139-017-9969-3
[3] Schappacher, N.: On the History of Hilbert’s Twelfth Problem: A Comedy of Errors. Sémin. Congr. 3, Soc. Math. France, Paris (1998) · Zbl 1044.01530
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