Proves explicit determinant formulas and a uniform congruence modulo p for Legendre symbol matrices, resolving parts of Sun's conjectures 4.8(i) and 4.10(i).
Finite Fields Appl
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Proves a uniform set of Sun conjectures on det and perm congruences for Cauchy and Cayley kernels, including modulo p^2 cases and quadratic residue assertions.
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Two determinant evaluations in Sun's conjectures involving Legendre symbols
Proves explicit determinant formulas and a uniform congruence modulo p for Legendre symbol matrices, resolving parts of Sun's conjectures 4.8(i) and 4.10(i).
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Sun-type determinant and permanent congruences
Proves a uniform set of Sun conjectures on det and perm congruences for Cauchy and Cayley kernels, including modulo p^2 cases and quadratic residue assertions.