scientific article; zbMATH DE number 3074959

zbMath0048.03303MaRDI QIDQ5814003

A. Gelfond

Publication date: 1952

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

functional equationBessel functionsalgebraic numberstranscendental numbersThue-Siegel theoremHermite-Lindemann theoremalgebraic \(p\)-adic numbersGelfond-Schneider theoremtranscendence of exponential functionapproximation of algebraic numbers by numbers from a fixed algebraic fieldmeasure of irrationality of \(log a/\log b\)Schneider theorem on elliptic functionstranscendence of \(a^b\)transcendence of the solutions of linear differential equations

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Transcendence (general theory) (11J81) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Transcendence theory of elliptic and abelian functions (11J89) Approximation to algebraic numbers (11J68) Approximation in non-Archimedean valuations (11J61) Approximation by numbers from a fixed field (11J17)

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