Mahler's measure and elliptic curves with potential complex multiplication

Riccardo Pengo

Mahler's measure and elliptic curves with potential complex multiplication

Riccardo Pengo

Institut for Matematiske Fag

Publikation: Working paper › Preprint › Forskning

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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.

Originalsprog	Engelsk
Udgiver	arXiv preprint
Antal sider	24
Status	Udgivet - 2020

Bibliografisk note

24 pages. Comments are very welcome!

Adgang til dokumentet

2005.04159Indsendt manuskript, 918 KBLicens: CC BY-NC-SA

Citationsformater

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