Mahler's measure and elliptic curves with potential complex multiplication
Research output: Working paper › Preprint › Research
Documents
- 2005.04159
Submitted manuscript, 918 KB, PDF document
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.
| Original language | English |
|---|---|
| Publisher | arXiv preprint |
| Number of pages | 24 |
| Publication status | Published - 2020 |
Bibliographical note
24 pages. Comments are very welcome!
- math.NT, math.AG, 11R06, 19F27, 14K22, 11S40
Research areas
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ID: 244330121