The paper improves the trivial count of integer matrices with non-generic characteristic polynomial Galois group from T^{n^2} to T^{n^2-1/2} log T, and gives sharper bounds for special matrix classes.
Irreducibility of the characteristic polynomials of random tridiagonal matrices
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Galois groups of random integer matrices
The paper improves the trivial count of integer matrices with non-generic characteristic polynomial Galois group from T^{n^2} to T^{n^2-1/2} log T, and gives sharper bounds for special matrix classes.