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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.CO2025
Ellipsoidal designs and the Prouhet--Tarry--Escott problem
Hideki Matsumura, Masanori Sawa
The notion of ellipsoidal design was first introduced by Pandey (2022) as a full generalization of spherical designs on the unit circle . In this paper, we elucidate the advan…