Author

Qiyuan Chen

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Preprint Jul 2026

Lower bounds on the strength of the determinant

We establish new lower bounds for the strength and partition rank of the determinant. For every prime $p$, we prove the exact identity \[ \operatorname{str}(\mathrm{det}_p)=p. \] A weak monotonicity argument, combined with a bound for gaps between consecutive primes, then gives $\operatorname{str}(\mathrm{det}_n)\ge (1...

Qiyuan Chen, Yuhao Zhao · 0 citations