FromL-series of elliptic curves to Mahler measures-Reference-Cited by-同舟云学术

FromL-series of elliptic curves to Mahler measures

Published:2012-01-23 Issue:2 Volume:148 Page:385-414
ISSN:0010-437X
Container-title:Compositio Mathematica
language:en
Short-container-title:Compositio Math.

Author:

Rogers Mathew,Zudilin Wadim

Abstract

AbstractWe prove the conjectural relations between Mahler measures andL-values of elliptic curves of conductors 20 and 24. We also present new hypergeometric expressions forL-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.

Publisher

Wiley

Subject

Algebra and Number Theory

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