We present here initial results on the X-ray cluster luminosity function (X
CLF) from the Bright Serendipitous High-Redshift Archival Cluster (SHARC) s
ample of distant X-ray clusters of galaxies. This sample is 97% complete in
its optical identifications and contains 12 X-ray-luminous clusters in the
redshift range 0.3 less than or equal to z less than or equal to 0.83 (med
ian z = 0.42) and 1.1 x 10(44) less than or equal to L-X less than or equal
to 8.3 X 10(44) ergs s(-1) (0.5-2.0 keV). We present a preliminary selecti
on function for the Bright SHARC Survey based on Monte Carlo simulations. U
sing this selection function, we have computed the Bright SHARC Survey XCLF
and find it to be fully consistent with a nonevolving XCLF to L-X similar
or equal to 5 x 10(44) ergs s(-1) and z similar or equal to 0.7. At L-X > 5
x 10(44) ergs s(-1), we find evidence for a deficit of clusters compared t
o that expected from a nonevolving XCLF. We detect only one such cluster in
the redshift range 0.3 less than or equal to z less than or equal to 0.7 w
hen we would expect 4.9 clusters based on the local XCLF of De Grandi et al
. The statistical significance of this deficit is similar or equal to 96%.
To increase the statistical significance of this possible deficit, we have
combined the Bright SHARC Survey and the 160 deg(2) survey of Vikhlinin et
al. This joint survey covers similar or equal to 260 deg(2) and contains on
ly one confirmed 0.3 less than or equal to z less than or equal to 0.7, L-X
> 5 x 10(44) ergs s(-1) cluster, while we would expect 7.6 such clusters b
ased on the local XCLF (De Grandi et al.), The statistical significance of
the deficit in this joint survey increases to 99.5%. These results remain p
reliminary because of incompletenesses in the optical follow-up and uncerta
inties in the local XCLF.