Mahler's measure and elliptic curves with potential complex multiplication
Publikation: Working paper › Preprint › Forskning
Dokumenter
- 2005.04159
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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 |
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Udgiver | arXiv preprint |
Antal sider | 24 |
Status | Udgivet - 2020 |
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