mathlove's user avatar
mathlove's user avatar
mathlove's user avatar
mathlove
  • Member for 10 years, 10 months
  • Last seen more than a week ago
2 votes
2 answers
658 views

Numbers $n$ such that the sum of the divisors of $n$ is a nontrivial power

13 votes
0 answers
635 views

Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$

38 votes
3 answers
5k views

Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power

5 votes
1 answer
523 views

Permutation polynomials mod $p$ of the form $(x+1)^n-x^n$

2 votes
2 answers
770 views

Examples that the Fermat-Catalan conjecture does not cover

5 votes
0 answers
766 views

Conjectures on perfect squares

4 votes
0 answers
271 views

How many points does 'the-most-point-contained-circle' contain at least?

6 votes
0 answers
248 views

On simple normality to co-prime bases

11 votes
0 answers
723 views

Making a convex polyhedron with two sheets of paper

13 votes
0 answers
543 views

If $\beta=0.{a_1}^{k}{a_2}^{k}{a_3}^{k}\cdots\in\mathbb Q$, then $\alpha=0.a_1a_2a_3\cdots\in\mathbb Q$?

0 votes
2 answers
230 views

Finding the min of a sequence related with factorials

33 votes
3 answers
4k views

Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?

1 vote
0 answers
242 views

Multiplicative semi-magic squares

0 votes
1 answer
557 views

Permutations of letters under some conditions

4 votes
1 answer
563 views

About the inscribed sphere and the exspheres of a $n$-dimensional simplex

7 votes
1 answer
2k views

The number of distinct prime factors of $n\in\mathbb N$

7 votes
1 answer
492 views

Finding the min of $m$ such that $k = \pm 1^n \pm 2^n \pm 3^n \pm \cdots \pm m^n$ for a given pair $(n,k)$

9 votes
3 answers
416 views

About a solid which satisfies $\sum_{i=1}^{n}x_i=0, |x_i|\le1\ (i=1,2,\cdots,n)$

12 votes
3 answers
1k views

A special tessellation

5 votes
1 answer
433 views

A problem related with 'Postage stamp problem'

8 votes
0 answers
508 views

Proving a proposition which leads the irrationality of $\frac{\zeta(5)}{\zeta(2)\zeta(3)}$

4 votes
3 answers
494 views

Repeating an operation infinitely makes any convex $n$-gon a regular $n$-gon?

4 votes
1 answer
185 views

About the 'minimum triangle' which includes a convex bounded closed set

0 votes
1 answer
215 views

About the number of the elements of a set related with binomial coefficients

0 votes
1 answer
224 views

About the sum of the first half and the latter half of the cyclic numbers of a repeating decimal

1 vote
2 answers
188 views

Finding the probability that $n$ points which are randomly selected from $d-1$ dimensional spherical surface are 'semi-spherical'

3 votes
3 answers
550 views

An inequality about the sum of some unit fractions with a property

5 votes
2 answers
1k views

About two 'negative' continued fractions whose sum equals $1$

17 votes
1 answer
919 views

If $\left(1^a+2^a+\cdots+n^{a}\right)^b=1^c+2^c+\cdots+n^c$ for some $n$, then $(a,b,c)=(1,2,3)$?

3 votes
1 answer
464 views

About the set of all the solutions $\mathbf x=(x_1,x_2,\cdots,x_m)$ to $\sum_{j=1}^m\frac{1}{x_j}=\frac1n$