Proves that for primes p ≡ 3 mod 4, twice a specific determinant involving Legendre symbols is a quadratic residue mod p, and that the permanent of a power matrix [j^{k-1}] is divisible by n when n > 1 and n ≢ 2 mod 4.
Sun,Arithmetic properties of some permanents
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
Two determinant identities for q-integers with floor and ceiling expressions are evaluated in closed form using the Jacobi symbol and q-powers.
citing papers explorer
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Some new results on determinants and permanents
Proves that for primes p ≡ 3 mod 4, twice a specific determinant involving Legendre symbols is a quadratic residue mod p, and that the permanent of a power matrix [j^{k-1}] is divisible by n when n > 1 and n ≢ 2 mod 4.
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Evaluation of two determinants involving $q$-integers
Two determinant identities for q-integers with floor and ceiling expressions are evaluated in closed form using the Jacobi symbol and q-powers.