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TRANSCENDENCE OF GENERALISED EULER–KRONECKER CONSTANTS

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  10 July 2023

NEELAM KANDHIL Open the ORCID record for NEELAM KANDHIL [Opens in a new window]  and
RASHI LUNIA Open the ORCID record for RASHI LUNIA [Opens in a new window]
NEELAM KANDHIL
Affiliation:
Max-Planck-Institut für Mathematik, Vivatsgasse 7, D-53111 Bonn, Germany e-mail: kandhil@mpim-bonn.mpg.de
RASHI LUNIA*
Affiliation:
The Institute of Mathematical Sciences, A CI of Homi Bhabha National Institute, CIT Campus, Taramani, Chennai 600 113, India
*
e-mail: rashisl@imsc.res.in
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Abstract

We introduce some generalisations of the Euler–Kronecker constant of a number field and study their arithmetic nature.

Keywords

linear forms in logarithmsgeneralised Euler–Kronecker constants

MSC classification

Primary: 11J86: Linear forms in logarithms; Baker's method
Secondary: 11J81: Transcendence (general theory)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 109 , Issue 3 , June 2024 , pp. 464 - 470
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The second author would like to thank Number Theory plan project, Department of Atomic Energy, for financial support.

References

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