Link to paper here.
Authors: Wang & Dai
Whether or not the gamma-ray burst rate tracks the overall star formation rate in the universe has been a topic of much interest and debate. In particular, with the ever-growing sample of GRBs at high redshift, it appears that the GRB rate rises faster with redshift than the star formation rate. It has been suggested that this is due to GRB progenitors being of preferentially low metallicity, but some observations show GRBs exploding in metal-rich galaxies so this may not provide a clear explanation for the dicrepancy. In this paper, the authors show that an IMF, such as that suggested by Dave (2010), which becomes more top-heavy at higher redshifts can explain the discrepancy between the star formation rate and the GRB rate.
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