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Using the Atacama Large Millimeter/submillimeter Array (ALMA), we haveconducted a blind redshift survey in the 3 mm atmospheric transmission windowfor 26 strongly lensd dusty star-forming galaxies (DSFGs) selected with theSouth Pole Telescope (SPT). The sources were selected to have S_1.4mm>20 mJyand a dust-like spectrum and, to remove low-z sources, not have bright radio(S_843MHz<6mJy) or far-infrared counterparts (S_100um<1 Jy, S_60um<200mJy). Werobustly detect 44 line features in our survey, which we identify as redshiftedemission lines of 12CO, 13CO, [CI], H2O, and H2O+. We find one or more spectralfeatures in 23 sources yielding a ~90% detection rate for this survey; in 12 ofthese sources we detect multiple lines, while in 11 sources we detect only asingle line. For the sources with only one detected line, we break the redshiftdegeneracy with additional spectroscopic observations if available, or inferthe most likely line identification based on photometric data. This yieldssecure redshifts for ~70% of the sample. The three sources with no linesdetected are tentatively placed in the redshift desert between 1.7<z<2.0. Theresulting mean redshift of our sample is <z>=3.5. This finding is in contrastto the redshift distribution of radio-identified DSFGs, which have asignificantly lower mean redshift of <z>=2.3 and for which only 10-15% of thepopulation is expected to be at z>3. We discuss the effect of gravitationallensing on the redshift distribution and compare our measured redshiftdistribution to that of models in the literature.

ALMA redshifts of millimeter-selected galaxies from the SPT survey: The redshift distribution of dusty star-forming galaxies