no code implementations • 4 Jan 2021 • Wataru Kai
Soon after, analogous statements were proved by Tao for the ring of Gaussian integers and by L\^e for the polynomial rings over finite fields.
Number Theory Algebraic Geometry Combinatorics 11P32, 11G20, 14H05, 05C55
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)
