3 papers
math.CO2026
Combinatorial designs and the Prouhet--Tarry--Escott problem
Munenori Inagaki, Hideki Matsumura, Masanori Sawa +1
This is the first paper that provides a systematic treatment of the -dimensional PTE problem in additive number theory, abbreviated by PTE, through its connection with combi…
math.NT2026
Geometric construction of modular polynomials with level structures
Hiroshi Onuki, Yukihiro Uchida, Ryo Yoshizumi
The classical modular polynomial for -invariants describes the relation between two elliptic curves connected by isogenies. This polynomial has been applied to various algorithm…
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…