We have detected pulsed X-ray emission from the fastest millisecond pulsar
known, PSR B1937+21 (P = 1.558 ms), with ASCA. The pulsar is detected as a
point source above similar to 1.7 keV, with no indication of nebulosity. Th
e source flux in the 2-10 keV band is found to be f= (3.7 +/- 0.6) x 10(-13
) ergs s(-1) cm(-2) which implies an isotropic luminosity of L-X = 4 piD(2)
f similar to (5.7 +/- 1.0) x 10(32)(D3.6 kpc)(2) ergs s(-1), cm where D is
the distance, and an X-ray efficiency of similar to5 x 10(-4) relative to t
he spin-down power of the pulsar. The pulsation is found at the period pred
icted by th radio ephemeris with a very narrow primary peak, the width of w
hich is about 1/16 phase (similar to mus), near the time resolution limit (
61 mus) of the observation. The instantaneous flux in the primary peak (1/1
6 phase interval) is found to be (4.0 +/- 0.8) x 10(-12) ergs s(-1) cm(-2).
Although there is an indication for the secondary peak, we consider its st
atistical significance too low to claim a definite detection. The narrow pu
lse profile and the detection in the 2-10 keV band imply that the X-ray emi
ssion is caused by the magnetospheric particle acceleration. Comparison of
X-ray and radio arrival times of pulses indicates, within the timing errors
, that the X-ray pulse is coincident with the radio interpulse.