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Fig. 1.

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Total number of SNIa explosions for a SSP after 10 Gyr of the birth of the SSP per unit stellar mass of the SSP predicted by Eqs. (13)–(16), assuming constant parameter Bbin and CIa and an IMF defined in Eq. (1), with α1 = 1.3, α2 = 2.3, as a function of α3. A smaller α3 indicates a flatter IMF/gwIMF for the massive stars, that is, a top-heavy IMF/gwIMF. Very large α3 mean that essentially no stars above 1 M are formed. The function is calibrated by the vertical and horizontal dashed lines indicating the canonical IMF/gwIMF slope, α3 = 2.3, and the value nIa(t = 10 Gyr, ξcanonical) = 0.0022/M suggested by Maoz & Mannucci (2012) for the local Universe, respectively.

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