Transformations of $L$-values

Mathematics – Number Theory

Scientific paper

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6 pages

Scientific paper

In our recent work with Mat 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.

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