Roland Bacher's user avatar
Roland Bacher's user avatar
Roland Bacher's user avatar
Roland Bacher
  • Member for 14 years, 5 months
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51 votes
24 answers
10k views

Most elementary proof showing that exponential growth wins against polynomial growth

43 votes
12 answers
2k views

Can a discrete set of the plane of uniform density intersect all large triangles?

42 votes
2 answers
2k views

A curious identity related to finite fields

39 votes
3 answers
5k views

A limit involving binomial coefficients: $\lim_{n\to\infty} (-1)^n\sum_{k=1}^n(-1)^k{n\choose k}^{-1/k}=\frac12$?

37 votes
5 answers
3k views

An explicit example of a finitely presented group containing a subgroup isomorphic to $(\mathbb Q,+)$.

31 votes
3 answers
1k views

Which power series have bounded integral coefficients and have an inverse given by a series having bounded integral coefficients

30 votes
6 answers
2k views

Useful tricks in experimental mathematics

29 votes
1 answer
2k views

Reason for breakdown of a nice binomial identity

24 votes
1 answer
888 views

Reference request for a proof of the two-square Theorem

24 votes
2 answers
9k views

Explanation why $x,y,z$ are always variables

21 votes
1 answer
570 views

Existence of a polynomial $Q$ of degree $\geq (p-1)/4$ in $\mathbb F_p[x]$ such that $QQ'$ factorizes into distinct linear factors

20 votes
3 answers
1k views

Size of set of integers with all sums of two distinct elements giving squares

20 votes
0 answers
658 views

Polynomials with roots in convex position

19 votes
8 answers
14k views

"Natural" generating sets for symmetric groups

19 votes
3 answers
2k views

Cutting convex sets

19 votes
2 answers
2k views

Constants for Rolle's Theorem applied to polynomials

18 votes
5 answers
7k views

Is $x^p-x+1$ always irreducible in $\mathbb F_p[x]$?

18 votes
0 answers
364 views

Colouring Gaussian integers according to a numeral system based on powers of $-1+i$

16 votes
5 answers
1k views

Name of a polytope

15 votes
7 answers
2k views

An Erdős-Szekeres-type question

15 votes
1 answer
940 views

Procreation with several genders

15 votes
2 answers
1k views

Asymptotic approximation of $x^\alpha$ by entire functions

15 votes
2 answers
305 views

Convergency radius of the generating series for A93637

15 votes
2 answers
815 views

Are there exotic polynomial bijections from $\mathbb N^d$ onto $\mathbb N$?

14 votes
0 answers
290 views

An 'onion-structure' for roots of a series associated to prime numbers?

14 votes
4 answers
850 views

Are there natural choices of $\sqrt{-1}$ in $\mathbb Z/p\mathbb Z$ for a prime $p\equiv 1\pmod 4$

13 votes
2 answers
1k views

An unfair game involving an odd number of pieces of chocolate

13 votes
0 answers
187 views

Does a huge set of random points in the plane almost surely have a checkerboard-triangulation

13 votes
1 answer
242 views

Complexity of planar scissor congruence

13 votes
1 answer
327 views

Spectral properties of finite metric sets

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