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This study presents the temporal and spectral analysis of the prompt emissionof two high-redshift gamma-ray bursts (GRBs), 120521C at $z\sim6$ and 130606Aat $z\sim5.91$, which were performed using the Swift-XRT/BAT and the Suzaku-WAMsimultaneously. Based on follow-up XRT observations, the longest durations ofthe prompt emissions were approximately $80$ s (120521C) and $360$ s (130606A)in the rest frame of each GRB, which are categorized as long-duration GRBs, butare insufficiently long compared with the predicted duration of GRBs thatoriginate from first-generation stars. Because of the wide bandpass of theinstruments covering the ranges of 15 keV--5 MeV (BAT-WAM) and 0.3 keV--5.0 MeV(XRT-BAT-WAM), we successfully determined the $\nu F_{\nu}$ peak energies$E_{\rm peak}^{\rm src}$ of $682^{+845}_{-207}$ keV and $1209^{+553}_{-304}$keV in the rest frame, and the isotropic-equivalent radiated energies $E_{\rmiso}$ of $(8.25^{+2.24}_{-1.96})\times10^{52}$ erg and$(2.82^{+0.17}_{-0.71})\times10^{53}$ erg, respectively. These obtainedcharacteristic parameters are in accordance with the well-known relationbetween $E_{\rm peak}^{\rm src}$ and $E_{\rm iso}$ (Amati relation). Inaddition, we examined the relations between $E_{\rm peak}^{\rm src}$ and the1-s peak luminosity, $L_{\rm p}$, or the geometrical corrected radiated energy,$E_{\gamma}$, and confirmed the $E_{\rm peak}^{\rm src}$-$L_{\rm p}$ (Yonetoku)and $E_{\rm peak}^{\rm src}$-$E_{\gamma}$ (Ghirlanda) relations. The resultsimplied that these high-redshift GRBs at $z\sim6$, expected as having radiatedfrom the reionization epoch, have similar properties as that of X-ray promptemission with low-redshift GRBs.

Hard X-ray Spectral Investigations of Gamma-ray Bursts, 120521C and 130606A, at High-redshift z~6