query: Zeros of a certain complex polynomial lie on the unit circle
positive_passages.docid: 145509
positive_passages.text: Prove the roots of $p(z)+z^n\bar{p}(\frac{1}{z})$ lie on the unit circle
negative_passages.docid: 15797
negative_passages.text: Holomorphic function having finitely many zeros in the open unit disc
negative_passages.docid: 156034
negative_passages.text: sufficient condition for a polynomial to have roots in $[0,1]$
negative_passages.docid: 76482
negative_passages.text: Closure of the set of degree $n$ polynomials with $n$ real roots
negative_passages.docid: 100862
negative_passages.text: Polynomials with rational zeros
negative_passages.docid: 96592
negative_passages.text: Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
negative_passages.docid: 20613
negative_passages.text: Units (invertibles) of polynomial rings over a field
negative_passages.docid: 115229
negative_passages.text: Find the zeros of $h(z)=z^6-5z^4+3z^2-1$ within the unit disc - Verification
negative_passages.docid: 42265
negative_passages.text: A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
negative_passages.docid: 148545
negative_passages.text: Degree of interpolation polynomial
negative_passages.docid: 149544
negative_passages.text: maximum of monic polynomial on unit circle is 1 implies $p(z)=z^n$
negative_passages.docid: 6722
negative_passages.text: to show $f$ is a polynomial in $z$
negative_passages.docid: 55347
negative_passages.text: for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$
negative_passages.docid: 87331
negative_passages.text: Real polynomial in two variables
negative_passages.docid: 63742
negative_passages.text: A key doubt about the resultant of two polynomials and their common zero locus
negative_passages.docid: 40824
negative_passages.text: Complex Equation Of a Circle $|z-z_1|^2+|z-z_2|^2=k$.
negative_passages.docid: 112401
negative_passages.text: Plot $|z - i| + |z + i| = 16$ on the complex plane