Infinite families of non-congruent numbers with arbitrarily many prime factors are produced by showing zero 2-Selmer rank on the corresponding elliptic curves via the Monsky matrix.
Families of even noncongruent numbers with arbitrarily many pairs of prime factors
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Monsky Matrix and 2-Selmer rank
Infinite families of non-congruent numbers with arbitrarily many prime factors are produced by showing zero 2-Selmer rank on the corresponding elliptic curves via the Monsky matrix.