2 papers
math.NT2026
Exponential sums over singular binary quintics
Yasuhiro Ishitsuka
We give an estimate of exponential sums over singular binary quintic forms in a characteristic-free form, based on the Waring decomposition of binary forms. This extends the method…
math.NT2025
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…