olymmath

Putnam 2020 B5

  • Session B

For j∈{1,2,3,4}j \in \{1, 2, 3, 4\}, let zjz_j be a complex number with ∣zj∣=1|z_j| = 1 and zj≠1z_j \neq 1. Prove that 3−z1−z2−z3−z4+z1z2z3z4≠0.3 - z_1 - z_2 - z_3 - z_4 + z_1 z_2 z_3 z_4 \neq 0.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator putnam/2020/b5 · Tag WBYGDXVNSS · Edit this page on GitHub · Keys: j next, k previous