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Period(d)ness of L-values

Wadim Zudilin

出版	Max-Planck-Inst. für Mathematik, 2012
URL	http://books.google.com.hk/books?id=fFsSvwEACAAJ&hl=&source=gbs_api

註釋

In our recent work with Rogers on resolving some of 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 Kontse- vich and Zagier. Here we outline, in slightly more general settings, the novelty of our method with Rogers, and provide two illustrative period evaluations of L(E; 2) and L(E; 3) for a conductor 32 elliptic curve E