BESIII has collected 2.93 and 6.32fb−1 of e+e− collision data samples at 3.773 and
4.178-4.226 GeV, respectively. We will report precision measurements of fD(s), |Vcs|,
and test of lepton flavor universality by studying the leptonic decays of D+s→lν
with τ+→ρ+ν, π+ν, and e+νν. We will also report the observation of
semileptonic decay of D0→ρ−μ+ν and lepton flavor universality test, and the
studies of some other semileptonic decays, such as D+s→π0π0e+ν and D+s→K0sK0se+ν.
