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SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES
Author(s) -
Budaritalia,
Dickinson Detta,
Levesley Jason
Publication year - 2010
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579309000382
Subject(s) - mathematics , diophantine approximation , hausdorff dimension , polynomial , hausdorff measure , integer (computer science) , dimension (graph theory) , diophantine equation , set (abstract data type) , measure (data warehouse) , diophantine set , outer measure , discrete mathematics , mathematical analysis , combinatorics , minkowski–bouligand dimension , fractal dimension , fractal , database , computer science , programming language
The Hausdorff dimension and measure of the set of simultaneously ψ ‐approximable points lying on integer polynomial curves is obtained for sufficiently small error functions.