John Bentin's user avatar
John Bentin's user avatar
John Bentin's user avatar
John Bentin
  • Member for 13 years, 8 months
  • Last seen more than a month ago
  • Oxford, United Kingdom
27 votes
5 answers
1k views

Is this a known question about the expression of a function on $\Bbb R^2$ as an infinite sum of products?

24 votes
3 answers
3k views

Can a unit square be cut into rectangles that tile a rectangle with irrational sides?

23 votes
5 answers
3k views

Is Cauchy induction used for proofs other than for AM–GM?

14 votes
4 answers
1k views

How fast can the base-bumping function in Goodstein's theorem grow?

13 votes
2 answers
1k views

Is there a known condition for partial sums of a decreasing positive sequence to take all values up to the total sum?

12 votes
3 answers
3k views

What is known about the polynomial factorization of power series?

10 votes
1 answer
955 views

What polynomials biject from $\mathbb{N}^{2}$ to $\mathbb{N}$?

10 votes
0 answers
380 views

How aspherical can a Gömböc be?

10 votes
4 answers
655 views

What is the least integer of additive dimension 4?

8 votes
6 answers
2k views

What sums of equal powers of consecutive natural numbers are powers of the same order?

6 votes
4 answers
358 views

A sequential optimizing task

5 votes
1 answer
290 views

Does strict order-preservation of powerset curtail the candidates for violation of CH?

5 votes
4 answers
2k views

Can Sierpinski's anisotropic bicolouring of the plane, assuming the continuum hypothesis (CH), be extended to three dimensions?

3 votes
4 answers
797 views

What patterns have been measured in the graph of the number of two-prime-sum representations of even numbers?

3 votes
1 answer
270 views

What bounds the ratio of summed partial harmonic means to a sum?

3 votes
3 answers
281 views

Which real scalings of the natural numbers approximately accommodate the unbounded powers of a noninteger?

3 votes
1 answer
184 views

Which compositions have these sum-like and product-like properties on the positive reals?

3 votes
1 answer
82 views

How big can a triangle be, whose sides are the perpendiculars to the sides of a triangle from the vertices of its Morley triangle?

2 votes
1 answer
199 views

Why does $l_0$ appear in this statement of the Furstenberg–Katznelson–Weiss theorem?

2 votes
1 answer
151 views

Is there a dense rational sequence of positive separation?

2 votes
2 answers
489 views

Is there a good comparative study of the Banach integral?

1 vote
0 answers
263 views

Which squares succeed a factorial? [closed]

1 vote
1 answer
336 views

Could the cluster set of a rational sequence be of intermediate cardinality (given not-CH)?

1 vote
0 answers
1k views

What is known about the maximum of several independent standard normal random variables?

1 vote
0 answers
50 views

What is the ring of functions on the open unit disc with polynomially bounded Maclaurin coefficients called?

0 votes
1 answer
270 views

Is there a nontrivial maximally recursive function? [closed]

0 votes
1 answer
415 views

Is the following statement a correct formulation of the (much doubted) P = NP conjecture?

0 votes
3 answers
303 views

How long can a primal egyptian fraction be, that optimally approaches unity?