Question

Rouché's theorem - Application??

score 188 · Answer 1 · 2026-04-12 18:11:11

188

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Rouché's theorem - Application??

Published on 12 Apr 2026 - 18:11

score 155 · Answer 2 · 2026-04-14 18:45:38

155

Views

Number of zeroes in the disk $D(0; \frac{1}{4})$ - $f(z)=z^4-5z+1$

Published on 14 Apr 2026 - 18:45

score 417 · Answer 3 · 2026-04-17 22:18:25

417

Views

Roots of quadratic equation are given by $b \pm \sqrt{b^2 - c}$

Published on 17 Apr 2026 - 22:18

score 327 · Answer 4 · 2026-04-29 00:02:05

327

Views

Solving a characteristic Polynomial of the Hilbert Matrix

Published on 29 Apr 2026 - 0:02

score 316 · Answer 5 · 2026-04-14 00:07:17

316

Views

How to show that $a^3+b^3+c^3+d^3\geq abc+abd+acd+bcd$ if $a,b,c,d>0$

Published on 14 Apr 2026 - 0:07

score 806 · Answer 6 · 2026-04-12 07:27:15

806

Views

Construct a Sinusoidal Equation for an Irregular Period

Published on 12 Apr 2026 - 7:27

score 514 · Answer 7 · 2026-04-17 04:15:28

514

Views

A non-constant polynomial with odd-integer co-efficients and of even degree , has no rational root?

Published on 17 Apr 2026 - 4:15

score 102 · Answer 8 · 2026-04-17 22:19:43

102

Views

Find the roots of the equation - $z^2 +12jz+64 = 0$

Published on 17 Apr 2026 - 22:19

score 100 · Answer 9 · 2026-04-16 12:44:29

100

Views

Show that over $\mathbb{Z}_7$, $x^5-1$ has no roots other than 1.

Published on 16 Apr 2026 - 12:44

score 88 · Answer 10 · 2026-04-17 15:23:41

88

Views

The Set $x:\left |x+\frac{1}{x}\right|>6=?$

Published on 17 Apr 2026 - 15:23

score 210 · Answer 11 · 2026-04-15 10:57:48

210

Views

Show that this sum of polynomials has no zeros with positive real part

Published on 15 Apr 2026 - 10:57

score 1.8k · Answer 12 · 2026-04-15 00:32:12

1.8k

Views

if $f(x)=x^2$ and $g(x)=x\sin x+\cos x$ then number of points where $f(x)=g(x)$?

Published on 15 Apr 2026 - 0:32

score 153 · Answer 13 · 2026-04-01 18:50:44

153

Views

Please express the first 3 7-adic digits of a root of $x^3-1$ in $\mathbb{Z}_7$ other than 1.

Published on 01 Apr 2026 - 18:50

score 48 · Answer 14 · 2026-04-18 08:46:13

48

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Suppose $m/l$ is a root of $f$, where $m$ and $l$ are relatively prime integers. Show that $m$ divides $a_0$ and $l$ divides $a_n$.

Published on 18 Apr 2026 - 8:46

score 1.3k · Answer 15 · 2026-04-09 12:33:27

1.3k

Views

The Gamma function has no zeros

Published on 09 Apr 2026 - 12:33

List Question

Rouché's theorem - Application??

Number of zeroes in the disk $D(0; \frac{1}{4})$ - $f(z)=z^4-5z+1$

Roots of quadratic equation are given by $b \pm \sqrt{b^2 - c}$

Solving a characteristic Polynomial of the Hilbert Matrix

How to show that $a^3+b^3+c^3+d^3\geq abc+abd+acd+bcd$ if $a,b,c,d>0$

Construct a Sinusoidal Equation for an Irregular Period

A non-constant polynomial with odd-integer co-efficients and of even degree , has no rational root?

Find the roots of the equation - $z^2 +12jz+64 = 0$

Show that over $\mathbb{Z}_7$, $x^5-1$ has no roots other than 1.

The Set $x:\left |x+\frac{1}{x}\right|>6=?$

Show that this sum of polynomials has no zeros with positive real part

if $f(x)=x^2$ and $g(x)=x\sin x+\cos x$ then number of points where $f(x)=g(x)$?

Please express the first 3 7-adic digits of a root of $x^3-1$ in $\mathbb{Z}_7$ other than 1.

Suppose $m/l$ is a root of $f$, where $m$ and $l$ are relatively prime integers. Show that $m$ divides $a_0$ and $l$ divides $a_n$.

The Gamma function has no zeros

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