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A measurement of fiducial and differential cross-sections for [Formula omitted] production in proton-proton collisions at [Formula omitted] TeV with the ATLAS experiment at the Large Hadron Collider using data corresponding to an integrated luminosity of 36.1 [Formula omitted] is presented. Events with one electron and one muon are selected, corresponding to the decay of the diboson system as [Formula omitted]. To suppress top-quark background, events containing jets with a transverse momentum exceeding 35 GeV are not included in the measurement phase space. The fiducial cross-section, six differential distributions and the cross-section as a function of the jet-veto transverse momentum threshold are measured and compared with several theoretical predictions. Constraints on anomalous electroweak gauge boson self-interactions are also presented in the framework of a dimension-six effective field theory.