The Elliptic Mahler Measure
This chapter has three themes. In Section 6.1 a very short introduction to the classical theory of elliptic functions is given. In Sections 6.2, 6.3 and 6.5 some recent work on the elliptic Mahler measure is presented. Sections 6.4 and 6.6 contain evidence for a possible family of dynamical systems associated to elliptic curves whose dynamical properties are linked to the elliptic Mahler measure in a manner analogous to the connection between Chapters 1 and 3 and Chapters 2 and 4. This third theme is more speculative in nature.
KeywordsElliptic Curve Periodic Point Elliptic Curf Elliptic Function Fundamental Domain
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