Claims

../

1961_01_01_atkinson: Atkinson proves that the largest modulus of the first n power sums of complex numbers with z_1 = 1 exceeds 1/6, an absolute constant independent of n; refereed in Acta Math. Acad. Sci. Hungar., credited by the site.

1994_09_01_biro: Biró proves that the largest modulus among the first n power sums of complex numbers with z_1 = 1 is strictly greater than one half, by Newton--Girard identities and a planar dichotomy; refereed.

2000_09_25_biro: Biró proves that an effectively computable absolute constant q > 1/2 bounds from below the largest modulus among the first n power sums of complex numbers with z_1 = 1, for every n; refereed in Indag. Math.

---