Transformations of L-values
نویسنده
چکیده
In our recent work with M. Rogers on resolving some Boyd’s conjectures on two-variate Mahler measures, a new analytical machinery was introduced to write the values L(E, 2) of L-series of elliptic curves as periods in the sense of Kontsevich and Zagier. Here we outline, in slightly more general settings, the novelty of our method with Rogers, and provide a simple illustrative example. Throughout the note we keep the notation q = e for τ from the upper half-plane Re τ > 0, so that |q| < 1. Our basic constructor of modular forms and functions is Dedekind’s eta-function
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تاریخ انتشار 2012