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Alex Gavrilov's user avatar
Alex Gavrilov's user avatar
Alex Gavrilov's user avatar
Alex Gavrilov
  • Member for 13 years, 8 months
  • Last seen this week
  • Russia
30 votes

"Long-standing conjectures in analysis ... often turn out to be false"

17 votes
Accepted

For which Millennium Problems does undecidable -> true?

17 votes
Accepted

Does the Gauss-Bonnet theorem apply to non-orientable surfaces?

13 votes

Is $\pi_2$ algebraic?

13 votes
Accepted

History of publication of von Neumann's characterization of orthogonally invariant matrix norms

8 votes

Irrationality measure of arctan(1/3)

8 votes

If $A,B$ are upper triangular matrices such that $AX=XA\implies BX=XB$ for upper triangular $X$, is $B$ a polynomial in $A$?

7 votes
Accepted

Is complex analytic extension of real-analytic diffeomorphism a diffeomorphism ?

6 votes

Gödel's speed-up from constructive to classical logic?

6 votes

Inverse of matrix $D + ADA^T$

6 votes

Lindelöf hypothesis claim

6 votes

Are there examples of conjectures supported by heuristic arguments that have been finally disproved?

5 votes
Accepted

Is this lower bound for a norm of some complex matrices true?

5 votes

The geometry of the solution set of a symmetric equation in four symmetric matrices

5 votes

Is it possible to sum the divergent series with prime coefficients?

4 votes
Accepted

A Hadamard product of the zeros of the Riemann integral. Does it put any constraints on where the $\rho$'s can reside in the critical strip?

4 votes
Accepted

Stability of Dirichlet data for Helmholtz equation

4 votes

Does $2^n-n$ have infinitely often a prime divisor greater than $n$?

4 votes

What advantage humans have over computers in mathematics?

4 votes
Accepted

Square root of a large sparse symmetric positive definite matrix

4 votes

Analytic approximations of smooth vector fields

4 votes

Comparing two power-series

3 votes

Partial product of Euler factors

3 votes

If a group $G$ has decidable word problem, must it have a decidable square problem?

3 votes
Accepted

Boundary behavior of power series vs. boundedness of partial sums

3 votes
Accepted

Abhyankar-Moh embedding theorem without algebraic closedness

3 votes

Are there any techniques for solving a differential equation of the form $f ' (x) = f( f( x ) )$?

3 votes
Accepted

Maximising a Rayleigh quotient over a subspace

3 votes
Accepted

Extension field $\mathbb{C}(t,u)$ over $\mathbb{C}(t^n,u^n)$

2 votes

Formal power series is Taylor expansion of rational function iff Hankel determinants vanish?