Period(d)ness of L-values

Title: Period(d)ness of L-values
Creator: Zudilin, W.
Relation: Number Theory and Related Fields p. 381-395
Relation: Springer Proceedings in Mathematics & Statistics Volume 43
Publisher Link: http://dx.doi.org/10.1007/978-1-4614-6642-0_20
Publisher: Springer
Resource Type: book chapter
Date: 2013
Description: 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 Kontsevich 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.
Subject: modular form; l-series; arithmetic differential equation; Dedekind's eta function
Identifier: http://hdl.handle.net/1959.13/1039842
Identifier: uon:13709
Identifier: ISBN:9781461466413
Rights: The original publication is available at www.springerlink.com
Language: eng
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