Algebraic values of analytic functions.

DOI10.1016/S0377-0427(03)00637-XzbMath1062.11049WikidataQ57377777 ScholiaQ57377777MaRDI QIDQ1414355

Michel Waldschmidt

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

transcendence criterionalgebraic valuesanalytic transcendental functionsdiophantine analysis

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Higher logarithm functions (33B30)

Related Items (10)

ON EXCEPTIONAL SETS: THE SOLUTION OF A PROBLEM POSED BY K. MAHLER ⋮ A positive answer for a question proposed by K. Mahler ⋮ A NOTE ON A COMPLETE SOLUTION OF A PROBLEM POSED BY K. MAHLER ⋮ A NOTE ON AN ASYMPTOTIC VERSION OF A PROBLEM OF MAHLER ⋮ On the arithmetic nature of hypertranscendental functions at complex points ⋮ On the exceptional set of transcendental functions with integer coefficients in a prescribed set: the problems A and C of Mahler ⋮ Counting rational points on a certain exponential-algebraic surface ⋮ On a stronger version of a question proposed by K. Mahler ⋮ The solution of a version of a Mahler's question ⋮ On transcendental analytic functions mapping an uncountable class of \(U\)-numbers into Liouville numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz
• Mixed Tate motives and multiple zeta values
• On the number of algebraic points where an analytic transcendental function takes algebraic values
• Algebraic values of meromorphic maps
• Indépendance algébrique et K-fonctions
• Uniformly counting points of bounded height
• Contributions to the theory of transcendental numbers (I)

This page was built for publication: Algebraic values of analytic functions.