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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/934733

Title: From L-series of elliptic curves to Mahler measures
Author/Creator: Rogers, Mathew; Zudilin, W.
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.
Relation: Compositio Mathematica Vol. 148, Issue 2, p. 385-414
Publisher Link: http://dx.doi.org/10.1112/S0010437X11007342
Date: 2012
Publisher: Cambridge University Press
Keyword(s): Mahler measures; L value of elliptic curve; hypergeometric series; lattice sum; elliptic dilogarithm
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/934733
Identifier: ISSN:0010-437X
Language: eng

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