Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields
Abstract
We extend formulae of Mertens and Mirsky on the asymptotic behaviour of the usual Euler function to the Euler functions of principal rings of integers of imaginary quadratic number fields, giving versions in angular sectors and with congruences.
Main Authors
Format
Articles
Research article
Published
2024
Series
Subjects
Publication in research information system
Publisher
Birkhäuser
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202402151896Use this for linking
Review status
Peer reviewed
ISSN
0003-889X
DOI
https://doi.org/10.1007/s00013-023-01952-0
Language
English
Published in
Archiv der Mathematik
Citation
- Parkkonen, J., & Paulin, F. (2024). Sectorial Mertens and Mirsky formulae for imaginary quadratic number fields. Archiv der Mathematik, Early online. https://doi.org/10.1007/s00013-023-01952-0
Additional information about funding
This research was supported by the French-Finnish CNRS IEA PaCap. Open Access funding provided by University of Jyväskylä (JYU).
Copyright© 2024 the Authors