Asymptotic count of n×n integer matrices with |entries|≤H having square-free determinant, together with asymptotics for sums of Euler's totient over those determinants.
Fouvry, ‘Consequences of a result of N
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Counting integer matrices with square-free determinants
Asymptotic count of n×n integer matrices with |entries|≤H having square-free determinant, together with asymptotics for sums of Euler's totient over those determinants.