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

On Ramachandra's Contributions to Transcendental Number Theory

Abstract : The first part of this paper is a survey on Ramachandra's contribution to transcendental number theory included in his 1968 paper in Acta Arithmetica. It includes a discussion of pseudo-algebraic points of algebraically additive functions. The second part deals with applications to density statements related with a conjecture due to B.~Mazur. The next part is a survey of other contributions of Ramachandra to transcendence questions (on the numbers $2^{\pi^k}$, a note on Baker's method, an easy transcendence measure for $e$). Finally, related open questions are raised.
Document type :
Journal articles
Complete list of metadata

Cited literature [68 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01112588
Contributor : Ariane Rolland Connect in order to contact the contributor
Submitted on : Tuesday, February 3, 2015 - 2:30:02 PM
Last modification on : Tuesday, March 29, 2022 - 3:58:51 AM
Long-term archiving on: : Wednesday, May 27, 2015 - 4:00:46 PM

File

34-35Article3.pdf
Explicit agreement for this submission

Identifiers

Citation

Michel Waldschmidt. On Ramachandra's Contributions to Transcendental Number Theory. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2013, Volume 34-35 - 2013, pp.18 - 46. ⟨10.46298/hrj.2013.174⟩. ⟨hal-01112588⟩

Share

Metrics

Record views

108

Files downloads

401