OFFSET
1,5
COMMENTS
Myerson writes about the unsolved problem of finding a good lower bound on the least magnitude as a function of n. Note that a(n)<n/2 for n>2 because the sum of all n-th roots of unity is 0.
LINKS
Gerald Myerson, How small can a sum of roots of unity be?, Amer. Math. Monthly, Vol. 93 (1986), No. 6, 457-459.
T. D. Noe, Plot of the least magnitude for n<=81
EXAMPLE
a(8)=3 because the least nonzero magnitude is sqrt(2)-1, which is the sum of three 8th roots of unity.
CROSSREFS
KEYWORD
nonn
AUTHOR
T. D. Noe, Jun 01 2005, extended Jun 04 2005
STATUS
approved