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 Vanishing Sums of Roots of Unity
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
The paper proves a degree formula for Hilbert-90 quotient maps via torsion defects, classifies low-degree strata, and shows full symmetric geometric monodromy in characteristic zero.
Commutators satisfying [A,B]^k = Id_n over C are characterized for pairs (k,n); in general unital rings, [a,b]^n=1 together with conditions on generated idempotents implies the ring is isomorphic to M_n(S) for some unital ring S.
citing papers explorer
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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.
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Hilbert-90 quotient maps, torsion defects, and symmetric monodromy
The paper proves a degree formula for Hilbert-90 quotient maps via torsion defects, classifies low-degree strata, and shows full symmetric geometric monodromy in characteristic zero.