English

Transformations of $L$-values

Number Theory 2012-10-02 v1 Algebraic Geometry Classical Analysis and ODEs K-Theory and Homology

Abstract

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)L(E,2) of LL-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.

Cite

@article{arxiv.1202.5630,
  title  = {Transformations of $L$-values},
  author = {Wadim Zudilin},
  journal= {arXiv preprint arXiv:1202.5630},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T20:24:57.728Z