no code implementations • 9 Mar 2021 • Hanamichi Kawamura, Takumi Maesaka, Shin-ichiro Seki
We introduce the multivariable connected sum which is a generalization of Seki-Yamamoto's connected sum and prove the fundamental identity for these sums by series manipulation.
Number Theory 11M32, 11B65
no code implementations • 31 Dec 2020 • Wataru Kai, Masato Mimura, Akihiro Munemasa, Shin-ichiro Seki, Kiyoto Yoshino
Given any number field, we prove that there exist arbitrarily shaped constellations consisting of pairwise non-associate prime elements of the ring of integers.
Number Theory Combinatorics 11B30 (Primary) 11B25, 11H55, 11N05, 11R04, 05C55 (Secondary)
