
We establish a local to global principle for higher moments over holomorphy rings of global function fields and use it to compute the higher moments of rectangular unimodular matrices and Eisenstein polynomials with coefficients in such rings.
22 pages. Comments are welcome!
11R45, Mathematics - Number Theory, Density theorems, FOS: Mathematics, Projective and free modules and ideals in commutative rings, Number Theory (math.NT), Matrices, determinants in number theory
11R45, Mathematics - Number Theory, Density theorems, FOS: Mathematics, Projective and free modules and ideals in commutative rings, Number Theory (math.NT), Matrices, determinants in number theory
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