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arxiv: 1905.06217 · v2 · pith:AU72RVGHnew · submitted 2019-05-15 · ✦ hep-th · math.NT

Integral of two-loop modular graph functions

classification ✦ hep-th math.NT
keywords functionsgraphintegralmodulartwo-looparbitrarydomainevaluated
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The integral of an arbitrary two-loop modular graph function over the fundamental domain for $SL(2,Z)$ in the upper half plane is evaluated using recent results on the Poincar\'e series for these functions.

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