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Congruent numbers, quadratic forms andK2, Math · 2022

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math.NT 1

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2026 1

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$2$-Selmer groups, $2$-class groups, and congruent numbers

math.NT · 2026-04-26 · unverdicted · novelty 4.0

For square-free n of the form product of primes ≡5 mod 8 times one prime ≡7 or 3 mod 8, if n is congruent then h(-n) must satisfy explicit divisibility or 2-power congruence conditions with related class numbers.

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  • $2$-Selmer groups, $2$-class groups, and congruent numbers math.NT · 2026-04-26 · unverdicted · none · ref 2

    For square-free n of the form product of primes ≡5 mod 8 times one prime ≡7 or 3 mod 8, if n is congruent then h(-n) must satisfy explicit divisibility or 2-power congruence conditions with related class numbers.