Abstract
Proposed by Marian Tetiva, National College "Gheorghe Rosca Codreanu," Birlad, Romania. Let P be a polynomial of degree n with complex coefficients and with p(0) = 0. Show that for any complex alfa with alfa <1 there exist complex numbers Z1, .... , Zn+2, all of norm 1, such that P(a) = P(z1) + ... + P(Zn+2).
| Original language | English |
|---|---|
| Pages (from-to) | 89-90 |
| Journal | American Mathematical Monthly |
| Volume | 118 |
| Issue number | 1 |
| Publication status | Published - 2011 |