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Let $p$ be a prime number $\ge2$ and $u = \cos\left(\frac 2p\pi\right)+i\sin\left(\frac2p\pi\right) \in \mathbb C$. Prove that ...

score 42 · Answer 1 · 2026-04-16 08:55:58

Let $p$ be a prime number $\ge2$ and $u = \cos\left(\frac 2p\pi\right)+i\sin\left(\frac2p\pi\right) \in \mathbb C$. Prove that ...

score 14.4k · Answer 2 · 2026-04-16 14:34:38

14.4k

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Find the number of roots of a polynomial using Rouche's Theorem

Published on 16 Apr 2026 - 14:34

score 47 · Answer 3 · 2026-04-12 20:30:41

47

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Homework help on eigenvalues function minimization

Published on 12 Apr 2026 - 20:30

score 369 · Answer 4 · 2026-04-11 16:25:21

369

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Laguerre theorem

Published on 11 Apr 2026 - 16:25

score 712 · Answer 5 · 2026-04-12 12:37:09

712

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Approximating non-rational roots by a rational roots for a quadratic equation

Published on 12 Apr 2026 - 12:37

score 37 · Answer 6 · 2026-04-15 15:46:35

37

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If $p>0$ demonstrate that the $1/2\pi i$ the line integral of $z^p f'(z)/f(z)$ is $\sum (z_k)^p$

Published on 15 Apr 2026 - 15:46

score 55 · Answer 7 · 2026-04-15 05:32:24

55

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Prove that the line integral on $\beta$ of $f'(z)/f(z) = (A-B)/2 \pi i$ using Rouche's Theorem

Published on 15 Apr 2026 - 5:32

score 40 · Answer 8 · 2026-04-16 14:54:13

40

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Roots of serie $\sum_{i=1}^N \frac{a_i + b_i \log(c_i - x)}{c_i - x}$

Published on 16 Apr 2026 - 14:54

score 225 · Answer 9 · 2026-04-15 06:55:33

225

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Distinct roots of $z^n-z$

Published on 15 Apr 2026 - 6:55

score 52 · Answer 10 · 2026-04-11 15:23:22

52

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Zeros of weighted sum of two Bessel functions

Published on 11 Apr 2026 - 15:23

score 180 · Answer 11 · 2026-04-11 14:09:39

180

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Two-term asymptotic approximation for roots of a polynomial (dominant balance)

Published on 11 Apr 2026 - 14:09

score 84 · Answer 12 · 2026-04-08 21:46:56

84

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AS Maths simplify

Published on 08 Apr 2026 - 21:46

score 2.8k · Answer 13 · 2026-04-15 06:06:59

2.8k

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Number of complex roots of a degree 6 polynomial

Published on 15 Apr 2026 - 6:06

score 372 · Answer 14 · 2026-04-18 10:23:49

372

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What are the values of $p$ so that equation $x^3+(p-2)x^2+(5-2p)x-10=0$ has exactly $2$ real roots........

Published on 18 Apr 2026 - 10:23

score 2.7k · Answer 15 · 2026-04-14 19:04:37

2.7k

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Prove $f=1+x+x^2+x^3+\cdots+x^n$ has no multiple roots.

Published on 14 Apr 2026 - 19:04

List Question

Let $p$ be a prime number $\ge2$ and $u = \cos\left(\frac 2p\pi\right)+i\sin\left(\frac2p\pi\right) \in \mathbb C$. Prove that ...

Find the number of roots of a polynomial using Rouche's Theorem

Homework help on eigenvalues function minimization

Laguerre theorem

Approximating non-rational roots by a rational roots for a quadratic equation

If $p>0$ demonstrate that the $1/2\pi i$ the line integral of $z^p f'(z)/f(z)$ is $\sum (z_k)^p$

Prove that the line integral on $\beta$ of $f'(z)/f(z) = (A-B)/2 \pi i$ using Rouche's Theorem

Roots of serie $\sum_{i=1}^N \frac{a_i + b_i \log(c_i - x)}{c_i - x}$

Distinct roots of $z^n-z$

Zeros of weighted sum of two Bessel functions

Two-term asymptotic approximation for roots of a polynomial (dominant balance)

AS Maths simplify

Number of complex roots of a degree 6 polynomial

What are the values of $p$ so that equation $x^3+(p-2)x^2+(5-2p)x-10=0$ has exactly $2$ real roots........

Prove $f=1+x+x^2+x^3+\cdots+x^n$ has no multiple roots.

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