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We report 250GHz (1.2mm) observations of redshift 1.8 < z < 2.8 opticallyluminous (M_B < -27.0), radio quiet quasars using the Max-Planck MillimeterBolometer (MAMBO) array at the IRAM 30-metre telescope. Nine quasars weredetected and for 26 quasars 3-sigma flux density limits in the range 1.8 to4mJy were obtained. Adopting a typical dust temperature of 45K, the millimeteremission implies far-infrared (FIR) luminosities of order 10^13 Lo and dustmasses of ~10^8 Mo. Applying a statistical survival analysis to our totalsample of 43 detected and 95 undetected quasars at z~2 and z>4, we find thatthere is no apparent difference in the FIR luminosities, hence the starformation rates, of QSO at z~2 and at 3.6< z <5. This differs from radiogalaxies, for which the FIR luminosity was found to increase with redshift(Archibald et al. 2001). We furthermore find that there is no strongcorrelation between the far-infrared and optical luminosities, confirmingprevious results obtained on smaller samples.Comment: 10 pages, 5 Postscript figures. Accepted for publication in Astronomy  and Astrophysics Journa

A 1.2 mm MAMBO/IRAM–30 m study of dust emission from optically luminous $z \approx$ 2 quasars