Estimates for diophantine approximation constants

T. W. Cusick

doi:10.1016/0022-314X(80)90045-1

Estimates for diophantine approximation constants

T. W. Cusick

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

It is proved that the three-dimensional Diophantine approximation constant is at least 2(275)^−1/2. This exactly doubles the classical lower bound due to Furtwängler.

Original language	English
Pages (from-to)	543-556
Number of pages	14
Journal	Journal of Number Theory
Volume	12
Issue number	4
DOIs	https://doi.org/10.1016/0022-314X(80)90045-1
State	Published - 1980

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title = "Estimates for diophantine approximation constants",

abstract = "It is proved that the three-dimensional Diophantine approximation constant is at least 2(275)−1/2. This exactly doubles the classical lower bound due to Furtw{\"a}ngler.",

author = "Cusick, \{T. W.\}",

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T1 - Estimates for diophantine approximation constants

AU - Cusick, T. W.

PY - 1980

Y1 - 1980

N2 - It is proved that the three-dimensional Diophantine approximation constant is at least 2(275)−1/2. This exactly doubles the classical lower bound due to Furtwängler.

AB - It is proved that the three-dimensional Diophantine approximation constant is at least 2(275)−1/2. This exactly doubles the classical lower bound due to Furtwängler.

UR - https://www.scopus.com/pages/publications/84918373179

U2 - 10.1016/0022-314X(80)90045-1

DO - 10.1016/0022-314X(80)90045-1

M3 - Article

AN - SCOPUS:84918373179

SN - 0022-314X

VL - 12

SP - 543

EP - 556

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 4

ER -

Estimates for diophantine approximation constants

Abstract

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