Question

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

score 86 · Answer 1 · 2026-04-17 09:18:00

86

Views

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

Published on 17 Apr 2026 - 9:18

score 461 · Answer 2 · 2026-04-17 01:19:23

461

Views

Prove odd degree polynomials have roots.

Published on 17 Apr 2026 - 1:19

score 99 · Answer 3 · 2026-05-13 18:10:45

99

Views

Eigenvalues of elements of a Weyl group

Published on 13 May 2026 - 18:10

score 816 · Answer 4 · 2026-04-17 02:27:34

816

Views

Jenkins-Traub algorithm to find the zeros of a multiple-variable polynomial

Published on 17 Apr 2026 - 2:27

score 827 · Answer 5 · 2026-05-10 15:07:21

827

Views

Third degree Polynomial has the properties

Published on 10 May 2026 - 15:07

score 135 · Answer 6 · 2026-04-12 10:22:53

135

Views

Polynomial root finders with consistent root ordering

Published on 12 Apr 2026 - 10:22

score 293 · Answer 7 · 2026-05-10 15:08:59

293

Views

How to solve the cubic $x^3-3x+1=0$?

Published on 10 May 2026 - 15:08

score 98 · Answer 8 · 2026-04-15 11:02:05

98

Views

Calculate $ S= \frac{(b+c)bc}{P'(a)} + \frac{(c+a)ca}{P'(b)} + \frac{(a+b)ab}{P'(c)} $

Published on 15 Apr 2026 - 11:02

score 390 · Answer 9 · 2026-05-07 16:51:52

390

Views

Generalization of $x^n-1$ following Fermat's Little theorem

Published on 07 May 2026 - 16:51

score 68 · Answer 10 · 2026-04-15 12:10:40

68

Views

Find explicitly the positive solutions of $2^x=x^2$

Published on 15 Apr 2026 - 12:10

score 171 · Answer 11 · 2026-04-14 00:30:45

171

Views

Two roots of $4x^3+8x^2+Kx-18=0$ are equal numerically but opposite in value. Find the value of K.

Published on 14 Apr 2026 - 0:30

score 819 · Answer 12 · 2026-04-12 05:58:27

819

Views

Multiplicity of zeros and derivatives.

Published on 12 Apr 2026 - 5:58

score 424 · Answer 13 · 2026-04-13 15:51:36

424

Views

The roots of a polynomial in the first quadrant

Published on 13 Apr 2026 - 15:51

score 52 · Answer 14 · 2026-05-10 16:12:37

52

Views

Prove: $k^3 - k( b c + c a + a b ) + 2 a b c = 0$ always has a negative root with all positive parameters $a, b, c$

Published on 10 May 2026 - 16:12

score 991 · Answer 15 · 2026-05-13 13:58:23

991

Views

Roots of polynomials with bounded integer coefficients

Published on 13 May 2026 - 13:58

List Question

Why $\Re\left(e^{\sqrt{-\log x}}\right)=\Im\left(e^{\sqrt{-\log x}}\right)$ has no real solutions?

Prove odd degree polynomials have roots.

Eigenvalues of elements of a Weyl group

Jenkins-Traub algorithm to find the zeros of a multiple-variable polynomial

Third degree Polynomial has the properties

Polynomial root finders with consistent root ordering

How to solve the cubic $x^3-3x+1=0$?

Calculate $ S= \frac{(b+c)bc}{P'(a)} + \frac{(c+a)ca}{P'(b)} + \frac{(a+b)ab}{P'(c)} $

Generalization of $x^n-1$ following Fermat's Little theorem

Find explicitly the positive solutions of $2^x=x^2$

Two roots of $4x^3+8x^2+Kx-18=0$ are equal numerically but opposite in value. Find the value of K.

Multiplicity of zeros and derivatives.

The roots of a polynomial in the first quadrant

Prove: $k^3 - k( b c + c a + a b ) + 2 a b c = 0$ always has a negative root with all positive parameters $a, b, c$

Roots of polynomials with bounded integer coefficients

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