The minimal non-zero absolute value of sums of n fifth roots of unity is computed exactly; it is monotone non-increasing within each residue class modulo 5 and jumps only at n equal to 5F_m, L_m or 2L_m for Fibonacci and Lucas numbers.
On sums of two and three roots of unity
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Minimal Absolute Value of Sums of Fifth Roots of Unity
The minimal non-zero absolute value of sums of n fifth roots of unity is computed exactly; it is monotone non-increasing within each residue class modulo 5 and jumps only at n equal to 5F_m, L_m or 2L_m for Fibonacci and Lucas numbers.