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arxiv: 1112.5697 · v1 · pith:JB45ODSDnew · submitted 2011-12-24 · 🧮 math.NT

Double zeta values, double Eisenstein series, and modular forms of level 2

classification 🧮 math.NT
keywords doubleleveleisensteinseriesformsmodularrelationsshuffle
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We study the double shuffle relations satisfied by the double zeta values of level 2, and introduce the double Eisenstein series of level 2 which satisfy the double shuffle relations. We connect the double Eisenstein series to modular forms of level 2.

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