  ANAIS (Annual modulation with NaI Scintillators) is a dark matter direct
detection experiment consisting of 112.5 kg of NaI(Tl) detectors in operation
at the Canfranc Underground Laboratory (LSC), in Spain, since August 2017.
ANAIS' goal is to confirm or refute in a model independent way the DAMA/LIBRA
positive result: an annual modulation in the low-energy detection rate having
all the features expected for the signal induced by dark matter particles in a
standard galactic halo. This modulation, observed for about 20 years, is in
strong tension with the negative results of other very sensitive experiments,
but a model-independent comparison is still lacking. By using the same target
material, NaI(Tl), such comparison is more direct and almost independent on
dark matter particle and halo models. Here, we present the annual modulation
analysis corresponding to three years of ANAIS data (for an effective exposure
of 313.95 kg$\times$y), applying a blind procedure which updates that developed
for the 1.5 years analysis, and later applied to 2 years, while improves the
background modelling in the fitting of the ROI rates. We obtain for the best
fit in the [1-6] keV ([2-6] keV) energy region a modulation amplitude of
-0.0034$\pm$0.0042 cpd/kg/keV (0.0003$\pm$0.0037 cpd/kg/keV), supporting the
absence of modulation in our data, and incompatible with DAMA/LIBRA result at
3.3 (2.6) $\sigma$, for a sensitivity of 2.5 (2.7) $\sigma$. Moreover, we
include some complementary analyses: a phase-free annual modulation search and
the exploration of the possible presence of a periodic signal at other
frequencies. Finally, we carry out several consistency checks of our result and
we update the ANAIS-112 projected sensitivity for the scheduled 5 years of
operation.
