User T. Amdeberhan - MathOverflow

41 votes

The most outrageous (or ridiculous) conjectures in mathematics

answered Jan 17, 2017 at 21:04

41 votes

Tweetable Mathematics

answered May 14, 2017 at 23:35

32 votes

Theorems demoted back to conjectures

answered Dec 20, 2016 at 1:21

27 votes

An interesting integral expression for $\pi^n$?

answered Apr 18, 2017 at 4:19

21 votes

A counterexample for Sard's theorem in $C^1$ regularity

answered Dec 27, 2016 at 19:42

21 votes

Accepted

values of $\zeta$ function are linearly independent?

answered Dec 25, 2016 at 0:36

20 votes

Is there a closed form for $\int_0^\infty\frac{\tanh^3(x)}{x^2}dx$?

answered Jun 7, 2017 at 6:00

16 votes

A curious sin-integral

answered Jun 16, 2017 at 21:44

16 votes

Is the following identity true?

answered Oct 3, 2018 at 2:55

16 votes

Accepted

When is :$\displaystyle n!=x^n-y^n$ , with , $x,y,n$ are positive integers?

answered Feb 9, 2017 at 0:46

15 votes

Is the matrix $\left({2m\choose 2j-i}\right)_{i,j=1}^{2m-1}$ nonsingular?

answered Dec 29, 2016 at 6:18

15 votes

Identity involving Pochhammer symbol

answered Jan 29, 2024 at 15:33

14 votes

Generalization of winding number to higher dimensions

answered Jan 8, 2017 at 2:24

14 votes

Accepted

The Finslerian version of the Nash embedding theorem

answered Oct 30, 2016 at 20:39

13 votes

Equality with binomials

answered Dec 15, 2016 at 23:40

13 votes

Accepted

Simple homotopy equivalent, non-homeomorphic manifolds

answered Feb 25, 2017 at 0:01

13 votes

Determinantal symmetry: proof requested: Part I

answered Feb 10, 2019 at 20:28

12 votes

Accepted

How to prove $\sum_{k=1}^{\frac{p-1}{2}}\frac{(-1)^k}{k}\sum_{i=\lfloor k/2\rfloor +1}^k\frac{1}{2i-1}\equiv 0\pmod{p}$?

answered Jun 21, 2017 at 20:58

12 votes

Arithmetic problem for bicolored graphs

answered Apr 9, 2017 at 23:05

12 votes

Applications of microlocal analysis?

answered Jan 6, 2017 at 5:27

12 votes

roots of higher derivatives of exponential

answered Jan 20, 2017 at 0:06

11 votes

Accepted

3-adic valuation of a sum involving binomial coefficients

answered May 6, 2017 at 6:30

11 votes

Accepted

A relation between a binomial sum and a trigonometric integral

answered Nov 25, 2016 at 17:03

11 votes

Accepted

Infinite limit of ratio of nth degree polynomials

answered Sep 10, 2016 at 20:36

11 votes

Eigenvalues and eigenvectors of the matrix with entries $\dbinom{n+1}{2j-i}$ for $i, j = 1, 2, \ldots, n$

answered Aug 19, 2018 at 13:50

11 votes

A trigonometric equation: how hard could it be?

answered Jun 8, 2024 at 15:00

10 votes

Accepted

Method to evaluate an infinite sum of ratio of Gamma functions (how does Mathematica do it?)

answered Feb 19, 2021 at 15:01

10 votes

Sum of squares of multinomial coefficients

answered Oct 29, 2021 at 15:17

10 votes

Accepted

Numerical coincidence? Why is $\sum(x^{k^2}) = \sum(x^{(k+1/2)^2})$ for $x = 0.8$?

answered Oct 7, 2016 at 20:40

10 votes

Accepted

yet another determinant and inverse of a matrix

answered Mar 12, 2017 at 11:55

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243 Answers

The most outrageous (or ridiculous) conjectures in mathematics

Tweetable Mathematics

Theorems demoted back to conjectures

An interesting integral expression for $\pi^n$?

A counterexample for Sard's theorem in $C^1$ regularity

values of $\zeta$ function are linearly independent?

Is there a closed form for $\int_0^\infty\frac{\tanh^3(x)}{x^2}dx$?

A curious sin-integral

Is the following identity true?

When is :$\displaystyle n!=x^n-y^n$ , with , $x,y,n$ are positive integers?

Is the matrix $\left({2m\choose 2j-i}\right)_{i,j=1}^{2m-1}$ nonsingular?

Identity involving Pochhammer symbol

Generalization of winding number to higher dimensions

The Finslerian version of the Nash embedding theorem

Equality with binomials

Simple homotopy equivalent, non-homeomorphic manifolds

Determinantal symmetry: proof requested: Part I

How to prove $\sum_{k=1}^{\frac{p-1}{2}}\frac{(-1)^k}{k}\sum_{i=\lfloor k/2\rfloor +1}^k\frac{1}{2i-1}\equiv 0\pmod{p}$?

Arithmetic problem for bicolored graphs

Applications of microlocal analysis?

roots of higher derivatives of exponential

3-adic valuation of a sum involving binomial coefficients

A relation between a binomial sum and a trigonometric integral

Infinite limit of ratio of nth degree polynomials

Eigenvalues and eigenvectors of the matrix with entries $\dbinom{n+1}{2j-i}$ for $i, j = 1, 2, \ldots, n$

A trigonometric equation: how hard could it be?

Method to evaluate an infinite sum of ratio of Gamma functions (how does Mathematica do it?)

Sum of squares of multinomial coefficients

Numerical coincidence? Why is $\sum(x^{k^2}) = \sum(x^{(k+1/2)^2})$ for $x = 0.8$?

yet another determinant and inverse of a matrix