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Counting matrices over finite rank multiplicative groups

math.NT · 2025-02-10 · accept · novelty 6.0

The paper proves upper bounds on the number of matrices with entries from a finite subset of a finite-rank multiplicative group that have a given rank, determinant, or characteristic polynomial.

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  • Counting matrices over finite rank multiplicative groups math.NT · 2025-02-10 · accept · none · ref 6

    The paper proves upper bounds on the number of matrices with entries from a finite subset of a finite-rank multiplicative group that have a given rank, determinant, or characteristic polynomial.