2026/07/08 by Steven Finch
Computer Science · Mathematics · #cs.DM #math.CO #math.NT #msc:05B20 #msc:11C20 #msc:15A15 #msc:15A45 #msc:15B36
20 pages; $5\times 5$ conjectures appear at end; $6\times 6$ nonnegative conjecture likewise
arxiv created 2026/08/04 · arxiv updated 2026/08/05
How close to singularity can an n × n unimodular matrix be? For ternary cases as n increases, exact expressions are unlikely, but upon fixing n=4 and assessing (2k+1)-ary cases as k increases, we make significant progress; similarly for (k+1)-ary cases of 4× 4 nonnegative unimodular matrices.