A. Bohra

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math.GM2021

Permanents of $3 \times 3$ Invertible Matrices Modulo $n$

Ayush Bohra, A. Satyanarayana Reddy

We count the number of elements in the set $G_{3} (n, x) = {M \in G L_{3} (Z_{n}) ∣ p er m (M) \equiv x (mod n)} .$

math.GM2021

Permanents of $2 \times 2$ Matrices Modulo $n$

Ayush Bohra, A. Satyanarayana Reddy

In this article we compute the number of invertible $2 \times 2$ matrices with integer entries modulo $n$ whose permanents are congruent modulo $n$ to a given integer $x$ .

Permanents of 3×3 Invertible Matrices Modulo n

Permanents of 2×2 Matrices Modulo n

Permanents of $3 \times 3$ Invertible Matrices Modulo $n$

Permanents of $2 \times 2$ Matrices Modulo $n$