Vladimir Reshetnikov's user avatar
Vladimir Reshetnikov's user avatar
Vladimir Reshetnikov's user avatar
Vladimir Reshetnikov
  • Member for 13 years, 6 months
  • Last seen this week
91 votes
2 answers
11k views

Is it possible to express $\int\sqrt{x+\sqrt{x+\sqrt{x+1}}}dx$ in elementary functions?

59 votes
7 answers
4k views

How closed-form conjectures are made?

48 votes
2 answers
18k views

Irrationality of $ \pi e, \pi^{\pi}$ and $e^{\pi^2}$

42 votes
2 answers
2k views

Numbers that are generic w.r.t. exponentiation

40 votes
2 answers
2k views

Arctangents of odd powers of the golden ratio

39 votes
1 answer
6k views

How to calculate [10^10^10^10^10^-10^10]?

39 votes
2 answers
2k views

Infinite exponential representation of real numbers

29 votes
3 answers
3k views

An explicit series representation for the analytic tetration with complex height

28 votes
0 answers
891 views

On certain representations of algebraic numbers in terms of trigonometric functions

26 votes
3 answers
1k views

Largest possible volume of the convex hull of a curve of unit length

24 votes
1 answer
750 views

Decidability of equality of elementary expressions

21 votes
2 answers
1k views

An order type $\tau$ equal to its power $\tau^n, n>2$

19 votes
1 answer
1k views

Number of distinct values taken by x^x^...^x with parentheses inserted in all possible ways

18 votes
3 answers
1k views

A curious series related to the asymptotic behavior of the tetration

18 votes
1 answer
699 views

Several conjectured identities for polylogarithms

16 votes
1 answer
1k views

Number of distinct values taken by $\alpha$ ^ $\alpha$ ^ $\dots$ ^ $\alpha$ with parentheses inserted in all possible ways, $\alpha\in\mathbf{Ord}$

15 votes
2 answers
3k views

Is there an algebraic number that cannot be expressed using only elementary functions?

15 votes
2 answers
716 views

A conjecture about $\lfloor n!\cdot q/e\rfloor-\,!n\cdot q$

15 votes
1 answer
466 views

Determinant of a matrix filled with elements of the Thue–Morse sequence

14 votes
2 answers
713 views

A conjecture about algebraic values of $(-q;\,-q)_\infty/(q;\,q)_\infty$

14 votes
4 answers
445 views

Smallest containing simplex

12 votes
1 answer
803 views

Transfinitely extending $\sf PA$ — can we get stronger than $\sf ZFC$?

11 votes
2 answers
2k views

Can every uncountable subset $\mathbb{R}$ be split at some number into two parts of the same cardinality?

11 votes
1 answer
610 views

Integrals of power towers

11 votes
1 answer
1k views

Is this set theory equivalent to ZFC?

10 votes
1 answer
718 views

A conjecture about certain values of the Fabius function

10 votes
1 answer
670 views

Building a polyhedron from areas of its faces

10 votes
2 answers
696 views

Ordinals and complexity classes

10 votes
2 answers
317 views

Do maximal polyhedra have algebraic volume?

8 votes
1 answer
324 views

Algorithmic decidability of equality in the ring of periods