Question

Does the derivative of a rational function with numerator degree greater than 2 have a zero?

score 278 · Answer 1 · 2026-03-28 02:48:54

278

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Does the derivative of a rational function with numerator degree greater than 2 have a zero?

Published on 28 Mar 2026 - 2:48

score 404 · Answer 2 · 2026-03-25 16:40:13

404

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Number of zeros in difference of exponential sums: $\sum\limits_{i=1}^n a_i^x - \sum\limits_{i=1}^n b_i^x$

Published on 25 Mar 2026 - 16:40

score 67 · Answer 3 · 2026-04-01 14:46:02

67

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A function that induces oscillations around the non-trivial zeros of $\zeta(s)$.

Published on 01 Apr 2026 - 14:46

score 57 · Answer 4 · 2026-03-26 01:10:37

57

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How to prove that $\wp''$'s zeros are not at half-periods?

Published on 26 Mar 2026 - 1:10

score 204 · Answer 5 · 2026-03-27 10:08:29

204

Views

Calculating $\frac{1}{a}$ using Newton-Raphson method

Published on 27 Mar 2026 - 10:08

score 34 · Answer 6 · 2026-04-10 01:10:47

34

Views

How to show that $\sqrt[n]{3}$ is not a real root of a polynomial of degree $<n$, where $n\geq 2$.

Published on 10 Apr 2026 - 1:10

score 54 · Answer 7 · 2026-04-03 06:35:11

54

Views

Solving Polynomial of the Resultant Dual Problem

Published on 03 Apr 2026 - 6:35

score 203 · Answer 8 · 2020-06-02 21:17:23

203

Views

How many functions does it take to solve polynomial equations?

Published on 02 Jun 2020 - 21:17

score 119 · Answer 9 · 2020-06-03 04:27:12

119

Views

Solution for the roots of $x^4+x^2+1=0$

Published on 03 Jun 2020 - 4:27

score 61 · Answer 10 · 2026-04-10 03:42:25

61

Views

proving a given quadratic equation does not have rational roots

Published on 10 Apr 2026 - 3:42

score 88 · Answer 11 · 2020-06-03 12:17:40

88

Views

Find zero of function $\sum_{n=0}^{\infty}\frac{cos(x(n+1))}{n!}$

Published on 03 Jun 2020 - 12:17

score 113 · Answer 12 · 2026-04-03 10:58:17

113

Views

Why is considering only quadratic in one of the variables of a two variable quadratic sufficient for calculating roots

Published on 03 Apr 2026 - 10:58

score 93 · Answer 13 · 2026-03-25 19:10:27

93

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What is known about the number of consecutive zeros of the Mertens function?

Published on 25 Mar 2026 - 19:10

score 315 · Answer 14 · 2020-06-04 17:15:31

315

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If$ f(x)=x^{10000}-x^{5000}+x^{1000}+x^{100}+x^{50}+x^{10}+1$, what is the number of rational roots of $f(x)=0$?

Published on 04 Jun 2020 - 17:15

score 931 · Answer 15 · 2026-03-26 02:45:52

931

Views

Find all four roots of quartic equation $x^4-x+1=0$

Published on 26 Mar 2026 - 2:45

List Question

Does the derivative of a rational function with numerator degree greater than 2 have a zero?

Number of zeros in difference of exponential sums: $\sum\limits_{i=1}^n a_i^x - \sum\limits_{i=1}^n b_i^x$

A function that induces oscillations around the non-trivial zeros of $\zeta(s)$.

How to prove that $\wp''$'s zeros are not at half-periods?

Calculating $\frac{1}{a}$ using Newton-Raphson method

How to show that $\sqrt[n]{3}$ is not a real root of a polynomial of degree $<n$, where $n\geq 2$.

Solving Polynomial of the Resultant Dual Problem

How many functions does it take to solve polynomial equations?

Solution for the roots of $x^4+x^2+1=0$

proving a given quadratic equation does not have rational roots

Find zero of function $\sum_{n=0}^{\infty}\frac{cos(x(n+1))}{n!}$

Why is considering only quadratic in one of the variables of a two variable quadratic sufficient for calculating roots

What is known about the number of consecutive zeros of the Mertens function?

If$ f(x)=x^{10000}-x^{5000}+x^{1000}+x^{100}+x^{50}+x^{10}+1$, what is the number of rational roots of $f(x)=0$?

Find all four roots of quartic equation $x^4-x+1=0$

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