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PreprintCC BY 4.0arXiv

On m-fullness in number fields

  • Michiel Horikx
  • Marta Pieropan
Open at sourcePDFDOICite

Abstract

We prove asymptotic formulas for the number of m-full ideals of bounded norm in a given ideal class and for the number of m-full algebraic integers of bounded Weil height.

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Cite

BibTeXRIS
BibTeX
@misc{horikx2026mfullness,
  title = {{On $m$-fullness in number fields}},
  author = {Michiel Horikx and Marta Pieropan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.12543},
  eprint = {2610.12543},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.12543},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On m-fullness in number fields
AU  - Michiel Horikx
AU  - Marta Pieropan
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.12543
UR  - https://arxiv.org/abs/2610.12543
AB  - We prove asymptotic formulas for the number of m-full ideals of bounded norm in a given ideal class and for the number of m-full algebraic integers of bounded Weil height.
ER  -