This document describes the combination of searches for Higgs boson pair production in proton-proton collisions at \sqrt{s} = 13~\mathrm{TeV} performed by the CMS Collaboration using an integrated luminosity of 35.9~\mathrm{fb}^{-1} collected at the LHC in 2016. Four different final states are considered, with one Higgs boson decaying into a $b\bar{b}$ pair and the other decaying into $\gamma\gamma$, $\tau\tau$, $b\bar{b}$, or a pair of vector bosons. Limits are set on the Higgs boson pair production cross section. The $95\%$ confidence level observed (expected) upper limit on the production cross section is found to be 21.8 (12.4) times the standard model value. A search for heavy narrow width resonances (X) decaying to Higgs boson pairs is also performed in the mass range 250 < M_X < 3000~\mathrm{GeV}. No evidence of a signal is observed and upper limits are set on the resonance production cross section.

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