On a paper by Nikolaev

Michel Waldschmidt (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

The purpose of this note is to point out that the paper On algebraic values of function exp(2πix+loglogy) by Igor Nikolaev published in the Ramanujan Journal 47 (2018), 417–425, is erroneous.

Keywords: Hermite–Lindemann Theorem; Schanuel’s Conjecture; Hilbert class field; Kronecker Jugendtraum; Hilbert 12th problem

Domains: Mathematics [math]

Michel Waldschmidt. On a paper by Nikolaev. Ramanujan Journal, 2022, 57 (4), pp.1517-1518. ⟨10.1007/s11139-021-00406-x⟩. ⟨hal-03668841⟩