The regulator dominates the rank

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The regulator dominates the rank. / Pazuki, Fabien.

arXiv preprint, 2022.

Research output: Working paper › Preprint › Research

Harvard

Pazuki, F 2022 'The regulator dominates the rank' arXiv preprint.

APA

Pazuki, F. (2022). The regulator dominates the rank. arXiv preprint.

Vancouver

Pazuki F. The regulator dominates the rank. arXiv preprint. 2022.

Author

Pazuki, Fabien. / The regulator dominates the rank. arXiv preprint, 2022.

Bibtex

@techreport{ddeaa499ed594bd2915c85339630d39b,
title = "The regulator dominates the rank",
abstract = "After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic p≥5. The lower bound is an increasing function of the rank and of the height.",
author = "Fabien Pazuki",
year = "2022",
language = "English",
publisher = "arXiv preprint",
type = "WorkingPaper",
institution = "arXiv preprint",

}

RIS

TY - UNPB

T1 - The regulator dominates the rank

AU - Pazuki, Fabien

PY - 2022

Y1 - 2022

N2 - After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic p≥5. The lower bound is an increasing function of the rank and of the height.

AB - After noticing that the regulator of a number field dominates the rank of its group of units, we bound from below the regulator of the Mordell-Weil group of elliptic curves over global function fields of characteristic p≥5. The lower bound is an increasing function of the rank and of the height.

M3 - Preprint

BT - The regulator dominates the rank

PB - arXiv preprint

ER -

ID: 307097218