Metric Mahler measures over number fields
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DOI: 10.1007/s10474-017-0770-y
Abstract: For an algebraic number α, the metric Mahler measure $${m_1(\alpha)}$$m1(α) was first studied by Dubickas and Smyth [4] and was later generalized to the t-metric Mahler measure $${m_t(\alpha)}$$mt(α) by the author [16]. The definition of… read more here.
Keywords: metric mahler; number fields; mahler measures; number ... See more keywords
Mahler measures of elliptic modular surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Transactions of the American Mathematical Society"
DOI: 10.1090/tran/7524
Abstract: In this article we develop a new method for relating Mahler measures of three-variable polynomials that define elliptic modular surfaces to L-values of modular forms. Using an idea of Deninger, we express the Mahler measure… read more here.
Keywords: mahler measures; measures elliptic; modular surfaces; mahler ... See more keywords