Multiplicity estimates for analytic functions. II

DOI10.1215/S0012-7094-80-04718-3zbMath0461.10027OpenAlexW2062258004MaRDI QIDQ1152402

W. Dale Brownawell, David W. Masser

Publication date: 1980

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/152219

zbMATH Keywords

estimating zeros of analytic functionstechniques of commutative algebra

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Transcendence (general theory) (11J81) Ordinary differential equations in the complex domain (34M99)

Related Items (24)

Unnamed Item ⋮ Commutative algebraic groups and refinements of the Gelfond-Feldman measure ⋮ A Pommaret bases approach to the degree of a polynomial ideal ⋮ A SMALL VALUE ESTIMATE FOR ⋮ Linear forms in the logarithms of three positive rational numbers ⋮ On polynomials and exponential polynomials in several complex variables ⋮ Multiplicities of Noetherian deformations ⋮ Pfaffian intersections and multiplicity cycles ⋮ Zero estimates on group varieties. I ⋮ Linear forms in elliptic logarithms ⋮ An effective version of the Lindemann-Weierstrass theorem using algebraic independence methods ⋮ ZERO ORDER ESTIMATES FOR ANALYTIC FUNCTIONS ⋮ Les nombres transcendants ⋮ On Bézout inequalities for non-homogeneous polynomial ideals ⋮ Multiplicity estimates: a Morse-theoretic approach ⋮ Algebraic independence criteria. ⋮ Lemmes de zéros dans les groupes algébriques commutatifs ⋮ On the orders of zero of certain functions ⋮ A sparse effective Nullstellensatz ⋮ Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass theorem ⋮ Fields of large transcendence degree generated by values of elliptic functions ⋮ Zero estimates on group varieties. II ⋮ Algebraic points of abelian functions in two variables ⋮ On the measure of algebraic independence of certain values of elliptic functions

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