Showing 2018Show all
2 papers · 1 filter
math.AG2018
A remark on a Nagell-Lutz type statement for the Jacobian of a curve of genus 2 and a (2, 3, 6) quasi-torus decomposition of a sextic with 9 cusps
Hiro-o Tokunaga, Yukihiro Uchida
In this note, an analogous statement to the Nagell-Lutz theorem does not hold for the Jacobian of a certain curve of genus 2 over . As a by-product, we give a (2, 3,…
math.CA2018
Discriminants of classical quasi-orthogonal polynomials, with combinatorial and number-theoretic applications
Masanori Sawa, Yukihiro Uchida
We derive explicit formulas for the resultants and discriminants of classical quasi-orthogonal polynomials, as a full generalization of the results of Dilcher and Stolarsky (2005)…