On polynomials and exponential polynomials in several complex variables

DOI10.1007/BF01389194zbMath0436.32005MaRDI QIDQ1140748

David W. Masser

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142791

zbMATH Keywords

zero estimatesexponential polynomialsaffine automorphisms of a polynomial ring

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Power series, series of functions of several complex variables (32A05) Other generalizations of function theory of one complex variable (32A30)

Related Items (15)

Large transcendence degrees for the exponential function; modification of the technical hypotheses in Brownawell's method ⋮ Algebraic independence and products of Drinfeld modules ⋮ A SMALL VALUE ESTIMATE FOR ⋮ Linear forms in the logarithms of three positive rational numbers ⋮ The density of rational and integral points on algebraic varieties ⋮ Explicit lower bounds for liner forms in two logarithms ⋮ Sur les systèmes d'équations différence-différentielles ⋮ Linear forms in elliptic logarithms ⋮ Quantitative results on algebraic independence for algebraic groups ⋮ A zero lemma ⋮ Interpolation formulas and auxiliary functions ⋮ Diophantine approximation on Abelian varieties with complex multiplication ⋮ Les nombres transcendants ⋮ Lemmes de zéros dans les groupes algébriques commutatifs ⋮ Ideals generated by exponential-polynomials

Cites Work

• Transcendance et exponentielles en plusieurs variables
• Multiplicity estimates for analytic functions. II
• Zero estimates on group varieties. I
• An auxiliary result in the theory of transcendental numbers
• Multiplicity estimates for analytic functions. I.
• On the orders of zero of certain functions
• On the Structure and Ideal Theory of Complete Local Rings
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