Mahler's measure and elliptic curves with potential complex multiplication

Publikation: Working paper › Preprint › Forskning

Standard

Mahler's measure and elliptic curves with potential complex multiplication. / Pengo, Riccardo.

arXiv preprint, 2020.

Publikation: Working paper › Preprint › Forskning

Harvard

Pengo, R 2020 'Mahler's measure and elliptic curves with potential complex multiplication' arXiv preprint.

APA

Pengo, R. (2020). Mahler's measure and elliptic curves with potential complex multiplication. arXiv preprint.

Vancouver

Pengo R. Mahler's measure and elliptic curves with potential complex multiplication. arXiv preprint. 2020.

Author

Pengo, Riccardo. / Mahler's measure and elliptic curves with potential complex multiplication. arXiv preprint, 2020.

Bibtex

@techreport{418cce1e51a5467db3dee1005b1b29ec,
title = "Mahler's measure and elliptic curves with potential complex multiplication",
abstract = "Given an elliptic curve E defined over Q which has potential complex multiplication by the ring of integers OK of an imaginary quadratic field K we construct a polynomial PE∈Z[x,y] which is a planar model of E and such that the Mahler measure m(PE)∈R is related to the special value of the L-function L(E,s) at s=2.",
keywords = "math.NT, math.AG, 11R06, 19F27, 14K22, 11S40",
author = "Riccardo Pengo",
note = "24 pages. Comments are very welcome!",
year = "2020",
language = "English",
publisher = "arXiv preprint",
type = "WorkingPaper",
institution = "arXiv preprint",

}

RIS

TY - UNPB

T1 - Mahler's measure and elliptic curves with potential complex multiplication

AU - Pengo, Riccardo

N1 - 24 pages. Comments are very welcome!

PY - 2020

Y1 - 2020

N2 - Given an elliptic curve E defined over Q which has potential complex multiplication by the ring of integers OK of an imaginary quadratic field K we construct a polynomial PE∈Z[x,y] which is a planar model of E and such that the Mahler measure m(PE)∈R is related to the special value of the L-function L(E,s) at s=2.

AB - Given an elliptic curve E defined over Q which has potential complex multiplication by the ring of integers OK of an imaginary quadratic field K we construct a polynomial PE∈Z[x,y] which is a planar model of E and such that the Mahler measure m(PE)∈R is related to the special value of the L-function L(E,s) at s=2.

KW - math.NT

KW - math.AG

KW - 11R06, 19F27, 14K22, 11S40

M3 - Preprint

BT - Mahler's measure and elliptic curves with potential complex multiplication

PB - arXiv preprint

ER -

ID: 244330121