- Title
- From L-series of elliptic curves to Mahler measures
- Creator
- Rogers, Mathew; Zudilin, W.
- Relation
- ARC.DP110104419 http://purl.org/au-research/grants/arc/DP110104419
- Relation
- Compositio Mathematica Vol. 148, Issue 2, p. 385-414
- Publisher Link
- http://dx.doi.org/10.1112/S0010437X11007342
- Publisher
- Cambridge University Press
- Resource Type
- journal article
- Date
- 2012
- Description
- We prove the conjectural relations between Mahler measures and L-values of elliptic curves of conductors 20 and 24. We also present new hypergeometric expressions for L-values of elliptic curves of conductors 27 and 36. Furthermore, we prove a new functional equation for the Mahler measure of the polynomial family (1+X)(1+Y)(X+Y)−αXY, α∈ℝ.
- Subject
- Mahler measures; L value of elliptic curve; hypergeometric series; lattice sum; elliptic dilogarithm
- Identifier
- http://hdl.handle.net/1959.13/934733
- Identifier
- uon:11895
- Identifier
- ISSN:0010-437X
- Language
- eng
- Full Text
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|---|---|---|---|---|---|---|---|
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