Multiplicity estimates for analytic functions. I.

DOI10.1515/crll.1980.314.200zbMath0417.10027OpenAlexW4249290533MaRDI QIDQ3207053

W. Dale Brownawell, David W. Masser

Publication date: 1980

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002197103

zbMATH Keywords

Weierstrass elliptic functionstranscendence measurezero-estimate

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) Elliptic functions and integrals (33E05)

Related Items (17)

Quelques résultats de transcendance liés à l'invariant modulaire j. (Some transcendence results related to the modular invariant j) ⋮ Une mesure d'indépendance algébrique. (A measure of algebraic independence) ⋮ Counting points of small height on elliptic curves ⋮ Algebraic independence of the values of elliptic function at algebraic points. Elliptic analogue of the Lindemann-Weierstrass theorem ⋮ On polynomials and exponential polynomials in several complex variables ⋮ Multiplicities of Noetherian deformations ⋮ Pfaffian intersections and multiplicity cycles ⋮ A Transcendence Measure for Some Special Values of Elliptic Functions ⋮ Estimates for the orders of zeros of polynomials in some analytic functions ⋮ Zero estimates on group varieties. I ⋮ Diophantine approximations for periods of exponential and elliptic functions ⋮ On arithmetic properties of values of theta-constants ⋮ Les nombres transcendants ⋮ An elliptic analogue of the Franklin-Schneider theorem ⋮ Estimating isogenies on elliptic curves ⋮ A note on elliptic functions and approximation by algebraic numbers of bounded degree ⋮ Algebraic independence of values of elliptic functions

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