User Colliot

6 votes

2 answers

200 views

Calculate $\sum_{i = 0}^{n}\ln\binom{n}{i}\Big/n^2$

asked Jul 31, 2015 at 5:04

5 votes

3 answers

448 views

Finding the general formula for $a_{n+1}=2^n a_n +4$, where $a_1=1$.

asked Aug 4, 2015 at 8:05

5 votes

2 answers

905 views

$f=u+iv$ holomorphic, $xu+yv = (x^2+y^2)e^x \cos y$, what is $f$?

asked May 2, 2015 at 0:03

5 votes

1 answer

63 views

Maximal $n$ such the the additive partition with a given product is unique.

asked Jul 29, 2015 at 3:22

5 votes

2 answers

68 views

Differential equation combined with functional equation which looks simple

asked Jan 3, 2017 at 17:27

2 votes

1 answer

57 views

Is at least half of the elements of even order in a finite group of even order?

asked May 18, 2016 at 0:27

1 vote

1 answer

1k views

Mapping an arc to a line segment while keeping the infinity

asked Mar 16, 2014 at 15:02

1 vote

1 answer

306 views

How to prove that a sequence with recurrence relation has no closed form expression?

asked Aug 12, 2015 at 18:29

1 vote

2 answers

530 views

How to construct a point finite open cover of $\mathbb{R}$ that is everywhere non-locally finite?

asked Jul 8, 2015 at 15:07

0 votes

1 answer

110 views

Calculat sums of the form $\lim_{n\rightarrow\infty}\sum_{i=0}^{n}\left(\frac{i}{n}\right)^{f(n)}$

asked Jul 31, 2015 at 4:48

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10 Questions

Calculate $\sum_{i = 0}^{n}\ln\binom{n}{i}\Big/n^2$

Finding the general formula for $a_{n+1}=2^n a_n +4$, where $a_1=1$.

$f=u+iv$ holomorphic, $xu+yv = (x^2+y^2)e^x \cos y$, what is $f$?

Maximal $n$ such the the additive partition with a given product is unique.

Differential equation combined with functional equation which looks simple

Is at least half of the elements of even order in a finite group of even order?

Mapping an arc to a line segment while keeping the infinity

How to prove that a sequence with recurrence relation has no closed form expression?

How to construct a point finite open cover of $\mathbb{R}$ that is everywhere non-locally finite?

Calculat sums of the form $\lim_{n\rightarrow\infty}\sum_{i=0}^{n}\left(\frac{i}{n}\right)^{f(n)}$