2 papers
math.NT2024
Exponential sums over singular binary quartic forms and applications
Yasuhiro Ishitsuka, Takashi Taniguchi, Frank Thorne +1
We investigate exponential sums over singular binary quartic forms, proving an explicit formula for the finite field Fourier transform of this set. Our formula shares much in commo…
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…