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math.NT2023
Periods modulo of integer sequences associated with division polynomials of genus curves
Yasuhiro Ishitsuka, Tetsushi Ito, Tatsuya Ohshita +2
We study an integer sequence associated with Cantor's division polynomials of a genus 2 curve having an integral point. We show that the reduction modulo of such a sequence is…
math.NT2023
On the proportions of soluble forms in some families of locally soluble binary quartic forms
Yasuhiro Ishitsuka, Yoshinori Kanamura
An integral binary quartic form is said to be locally soluble (resp. soluble) if the corresponding genus one curve has a rational point over for every place of $…