Question

How to prove that this binomial sum remains positive for $x>1$?

score 52 · Answer 1 · 2026-04-24 00:43:09

52

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How to prove that this binomial sum remains positive for $x>1$?

Published on 24 Apr 2026 - 0:43

score 153 · Answer 2 · 2026-04-14 15:28:55

153

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Finding all complex roots of $z^{11}+z=1$ with $|z|=1$

Published on 14 Apr 2026 - 15:28

score 76 · Answer 3 · 2026-04-12 02:10:55

76

Views

Clarification in finding a polynomial equation with roots that are related to the roots of another polynomial equation by a particular function.

Published on 12 Apr 2026 - 2:10

score 40 · Answer 4 · 2026-04-10 08:54:45

40

Views

Roots of an equation (perturbation theory)

Published on 10 Apr 2026 - 8:54

score 64 · Answer 5 · 2026-04-11 03:53:32

64

Views

Putnam 2018 B2 - Proving that a complex function has no roots in the unit disk

Published on 11 Apr 2026 - 3:53

score 112 · Answer 6 · 2026-04-14 21:01:32

112

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$ax^3+bx^2+cx+d=0$ with coefficient $a>b>c>d>0$. Show that the magnitude of all its roots is less than $1$.

Published on 14 Apr 2026 - 21:01

score 55 · Answer 7 · 2026-04-12 22:45:01

55

Views

Region where function is negative for integral value of $x$

Published on 12 Apr 2026 - 22:45

score 79 · Answer 8 · 2026-04-15 14:38:36

79

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Show $a+b\leq\frac{8}{27}$

Published on 15 Apr 2026 - 14:38

score 93 · Answer 9 · 2026-03-26 04:36:23

93

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Are the imaginary parts of these Riemann zeta related numbers equal?

Published on 26 Mar 2026 - 4:36

score 47 · Answer 10 · 2026-04-14 14:04:02

47

Views

Manipulating multiplicity of polynomial roots based on coefficients

Published on 14 Apr 2026 - 14:04

score 118 · Answer 11 · 2026-04-11 15:37:33

118

Views

Finding all real roots of a polynomial by using Newton-Raphson method.

Published on 11 Apr 2026 - 15:37

score 110 · Answer 12 · 2026-04-15 10:52:59

110

Views

Why does CubeRoot and power of 1/3 give different answers in Mathematica?

Published on 15 Apr 2026 - 10:52

score 317 · Answer 13 · 2026-04-11 04:55:17

317

Views

Number of real roots of equation

Published on 11 Apr 2026 - 4:55

score 98 · Answer 14 · 2026-04-17 10:08:26

98

Views

Mysterious polynomials in the coefficients of $z^4 + bz^3 + cz^2 + dz + e$

Published on 17 Apr 2026 - 10:08

score 64 · Answer 15 · 2026-04-11 00:46:05

64

Views

Modification of a logarithmic function with an infinite product equation

Published on 11 Apr 2026 - 0:46

List Question

How to prove that this binomial sum remains positive for $x>1$?

Finding all complex roots of $z^{11}+z=1$ with $|z|=1$

Clarification in finding a polynomial equation with roots that are related to the roots of another polynomial equation by a particular function.

Roots of an equation (perturbation theory)

Putnam 2018 B2 - Proving that a complex function has no roots in the unit disk

$ax^3+bx^2+cx+d=0$ with coefficient $a>b>c>d>0$. Show that the magnitude of all its roots is less than $1$.

Region where function is negative for integral value of $x$

Show $a+b\leq\frac{8}{27}$

Are the imaginary parts of these Riemann zeta related numbers equal?

Manipulating multiplicity of polynomial roots based on coefficients

Finding all real roots of a polynomial by using Newton-Raphson method.

Why does CubeRoot and power of 1/3 give different answers in Mathematica?

Number of real roots of equation

Mysterious polynomials in the coefficients of $z^4 + bz^3 + cz^2 + dz + e$

Modification of a logarithmic function with an infinite product equation

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