HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Effective irrationality measures for quotients of logarithms of rational numbers

Abstract : We establish uniform irrationality measures for the quotients of the logarithms of two rational numbers which are very close to 1. Our proof is based on a refinement in the theory of linear forms in logarithms which goes back to a paper of Shorey.
Document type :
Journal articles
Complete list of metadata

Cited literature [9 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01253659
Contributor : Ariane Rolland Connect in order to contact the contributor
Submitted on : Monday, January 11, 2016 - 11:00:13 AM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Long-term archiving on: : Thursday, November 10, 2016 - 10:40:18 PM

Files

38Article4 (1).pdf
Explicit agreement for this submission

Identifiers

Collections

Citation

Yann Bugeaud. Effective irrationality measures for quotients of logarithms of rational numbers. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2015, Volume 38 - 2015, ⟨10.46298/hrj.2015.1359⟩. ⟨hal-01253659⟩

Share

Metrics

Record views

281

Files downloads

677