Type Ia Supernovae (SNe Ia) discovered at redshift z2.5 are presumed to be produced from Population (Pop) I/II stars. {In this work, we investigate the production of SNe Ia from Pop III binaries in the cosmological framework. We derive the SN Ia rate as a function of redshift under a theoretical context for the production of first generation stars and emanate the likelihood of their detection by the James Webb Space Telescope (JWST).} {Assuming the initial stellar mass function (IMF) favors low-mass stars as from recent numerical simulations, we found Pop III stars may give rise to a considerable amount of SNe Ia at high redshift and Pop III stars may even be the dominant SN Ia producer at z 6.} {In an optimistic scenario, we expect ~ 1(2) SNe Ia from Pop III stars at z≈ 4(5) for a survey of area 300 \; arcmin² during a 3\; yr period with JWST. The same survey may record more than ~ 400 SNe Ia at lower redshift (z 2.5) but with only about one of them from Pop III progenitors. There will be ~ 6 Pop III SNe Ia in the same field of view at redshifts of $5-10$.} Observational constraints on SN Ia rates at the redshift range of $5-10$ can place crucial constraints on the IMF of Pop III stars.
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Li et al. (2024) studied this question.
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