query: The roots of a polynomial in one complex variable lie in the upper-half plane [CSIR 2015]
positive_passages.docid: 157213
positive_passages.text: Application of Luca's theorem
negative_passages.docid: 44296
negative_passages.text: Solving a cubic polynomial equation.
negative_passages.docid: 2907
negative_passages.text: How do I show that $x$ is a root of $p(x)$ in $F[x]/\langle p(x)\rangle$?
negative_passages.docid: 36937
negative_passages.text: How to find a starting point for root finding in complex plane?
negative_passages.docid: 73419
negative_passages.text: For $f$ entire and $\{f(kz) : k \in \mathbb{C}\}$ a normal family, prove that $f$ is a polynomial.
negative_passages.docid: 65901
negative_passages.text: Solution verification to complex analysis problem, prove $f$ is a polynomial.
negative_passages.docid: 152347
negative_passages.text: Proof that a certain entire function is a polynomial
negative_passages.docid: 56697
negative_passages.text: How to show that the given equation has at least one complex root ,a s.t |a|>12
negative_passages.docid: 128998
negative_passages.text: Relation between real roots of a polynomial and real roots of its derivative
negative_passages.docid: 103552
negative_passages.text: The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
negative_passages.docid: 107089
negative_passages.text: finding rational roots of polynomials
negative_passages.docid: 154393
negative_passages.text: Roots of polynomial with real coefficients appear in conjugate pairs.
negative_passages.docid: 62134
negative_passages.text: Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
negative_passages.docid: 99737
negative_passages.text: Using Rouché's theorem to find a compact domain for the roots of a polynomial
negative_passages.docid: 40212
negative_passages.text: roots of $f(z)=z^4+8z^3+3z^2+8z+3=0$ in the right half plane
negative_passages.docid: 40502
negative_passages.text: The Degree of Zero Polynomial.
negative_passages.docid: 148545
negative_passages.text: Degree of interpolation polynomial