Waldschmidt, Michel On a paper by Nikolaev. (English) Zbl 1482.11097 Ramanujan J. 57, No. 4, 1517-1518 (2022). 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. Cited in 1 Review MSC: 11J81 Transcendence (general theory) 11R37 Class field theory Keywords:Hermite-Lindemann theorem; Schanuel’s conjecture; Hilbert class field; Kronecker Jugendtraum; Hilbert 12th problem Citations:Zbl 1423.11123 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Ramanujan J. 57, No. 4, 1517--1518 (2022; Zbl 1482.11097) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.