  The double differential cross sections of the Drell-Yan lepton pair
($\ell^+\ell^-$, dielectron or dimuon) production are measured as functions of
the invariant mass $m_{\ell\ell}$, transverse momentum
$p_\mathrm{T}(\ell\ell)$, and $\phi^*_\eta$. The $\phi^*_\eta$ observable,
derived from angular measurements of the leptons and highly correlated with
$p_\mathrm{T}(\ell\ell)$, is used to probe the low-$p_\mathrm{T}(\ell\ell)$
region in a complementary way. Dilepton masses up to 1 TeV are investigated.
Additionally, a measurement is performed requiring at least one jet in the
final state. To benefit from partial cancellation of the systematic
uncertainty, the ratios of the differential cross sections for various
$m_{\ell\ell}$ ranges to those in the Z mass peak interval are presented. The
collected data correspond to an integrated luminosity of 36.3 fb$^{-1}$ of
proton-proton collisions recorded with the CMS detector at the LHC at a
centre-of-mass energy of 13 TeV. Measurements are compared with predictions
based on perturbative quantum chromodynamics, including soft-gluon resummation.
