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math.NT2026
Frobenius Numbers Associated with Primitive Pythagorean Quadruples
WonTae Hwang, Kyunghwan Song
Let be a primitive Pythagorean quadruple and let be the numerical semigroup gene…
math.NT2026
Continuous approximation to the reciprocal sum of the cubes of Fibonacci numbers
WonTae Hwang, Jond-Do Park, Kyunghwan Song
Let be the -th Fibonacci number with . Recently exact formulas for the integer parts of the tails of inverse reciprocal Fibonacci numbers have been obtained in…
math.GT2026
Frobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fields
WonTae Hwang
We introduce the notion of Frobenius Alexander quandles associated with abelian varieties over finite fields, and study them from both knot-theoretic and arithmetic viewpoints. We…