User Grigory M - Mathematics Stack Exchange

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	6,842 reputation	bio	website		visits	member for	2 years, 10 months
22148 badges		location	Moscow, Russia		seen	1 hour ago

89

130

votes

17

answers

8

kviews

Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$

mar 8 at 13:57 xpaul 1

10

14

votes

19

answers

7

kviews

Proof for formula for sum of sequence $1+2+3+\ldots+n$?

sequences-and-series algebra-precalculus faq

may 15 at 22:32 CutieKrait 1,859

35

30

votes

19

answers

5

kviews

Good book/lecture notes about category theory

soft-question reference-request category-theory

dec 31 at 21:54 darij grinberg 866

51

72

votes

5

answers

4

kviews

Intuition for the definition of the Gamma function?

probability-theory intuition gamma-function

jan 23 at 23:19 Victor Wang 141

35

57

votes

1

answer

4

kviews

What's the significance of Tate's thesis?

algebraic-number-theory

feb 19 '12 at 3:02 Matt E 57.5k

40

63

votes

6

answers

4

kviews

How can you prove that a function has no closed form integral?

calculus real-analysis integration differential-algebra

sep 19 at 17:52 Nils Matthes 1,007

6

14

votes

2

answers

3

kviews

Does there exist a bijective $f:\mathbb{N} \to \mathbb{N}$ such that $\sum f(n)/n^2$ converges?

number-theory analysis convergence

jun 9 '11 at 8:35 Community♦ 1

28

69

votes

5

answers

3

kviews

Cutting sticks puzzle

combinatorics puzzle

sep 30 '11 at 14:21 Gerard 174

12

24

votes

4

answers

3

kviews

Nice proofs of $\zeta(4) = \pi^4/90$?

calculus number-theory sequences-and-series riemann-zeta

apr 26 at 12:56 xpaul 991

5

18

votes

3

answers

3

kviews

Prove that this function is bounded

real-analysis functional-equations asymptotics

may 5 at 22:37 Victor Wang 141

16

28

votes

2

answers

2

kviews

The square roots of the primes are linearly independent over the field of rationals

abstract-algebra prime-numbers field-theory

oct 7 at 23:05 Community♦ 1

6

22

votes

2

answers

2

kviews

How do I count the subsets of a set whose number of elements is divisible by 3? 4?

number-theory combinatorics binomial-coefficients

oct 5 '11 at 21:30 Mike Spivey 25.8k

8

16

votes

3

answers

2

kviews

Construction of a Borel set with positive but not full measure in each interval

real-analysis measure-theory

aug 17 '11 at 0:06 Nick Strehlke 3,022

25

52

votes

3

answers

2

kviews

Is there an integral that proves $\pi > 333/106$?

calculus real-analysis integral approximation pi

feb 25 at 15:59 Michael Hardy 47.7k

14

42

votes

1

answer

2

kviews

Quadratic reciprocity via generalized Fibonacci numbers?

number-theory combinatorics fibonacci-numbers

oct 30 '11 at 9:01 Martin Sleziak 20.3k

8

16

votes

6

answers

2

kviews

Efficiently finding two squares which sum to a prime

number-theory algorithms prime-numbers

aug 25 at 19:28 Barry Smith 1,193

24

45

votes

2

answers

2

kviews

Combinatorial proof that $\sum \limits_{k=0}^n \binom{2k}{k} \binom{2n-2k}{n-k} (-1)^k = 2^n \binom{n}{n/2}$ when $n$ is even

combinatorics binomial-coefficients

dec 21 at 22:52 Mike Spivey 25.8k

9

17

votes

5

answers

2

kviews

Number of ways to partition a rectangle into n sub-rectangles

combinatorics computer-science recurrence-relations

feb 1 at 13:39 Brian Sanderson 1

8

12

votes

6

answers

2

kviews

How to prove $\cos \frac{2\pi }{5}=\frac{-1+\sqrt{5}}{4}$?

geometry trigonometry euclidean-geometry

sep 26 at 15:54 minthao_2011 560

9

16

votes

5

answers

2

kviews

How to prove that: $\tan(3\pi/11) + 4\sin(2\pi/11) = \sqrt{11}$

trigonometry

mar 22 '12 at 22:07 spanferkel 81

5

21

votes

5

answers

1

kviews

How do you prove that a prime is the sum of two squares iff it is congruent to 1 mod 4?

number-theory prime-numbers

dec 4 at 9:14 Ju'x 2,924

4

20

votes

3

answers

1

kviews

Is there a direct proof of this lcm identity?

number-theory binomial-coefficients

aug 20 '11 at 13:23 t.b. 43.1k

15

26

votes

4

answers

1

kviews

Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields

linear-algebra matrices

1d ago Landscape 7,601

9

27

votes

2

answers

1

kviews

A zero sum subset of a sum-full set

combinatorics

jun 10 '11 at 23:17 Aryabhata 47.4k

7

29

votes

2

answers

1

kviews

Identity for convolution of central binomial coefficients

combinatorics binomial-coefficients

apr 13 at 21:52 Marc van Leeuwen 23.5k

2

9

votes

2

answers

1

kviews

Circular permutations with indistinguishable objects

combinatorics

jul 27 '10 at 22:02 Qiaochu Yuan 117k

7

18

votes

4

answers

1

kviews

What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?

calculus real-analysis sequences-and-series

jul 18 at 4:31 Quixotic 7,905

13

12

votes

2

answers

1

kviews

Yoneda-Lemma as generalization of Cayley`s theorem?

category-theory group-theory

aug 6 '10 at 12:37 Andrea Ferretti 743

11

27

votes

0

answers

1

kviews

Does a four-variable analog of the Hall-Witt identity exist?

abstract-algebra group-theory algebraic-topology intuition free-groups

jan 5 at 7:42 Alexander Gruber 15.1k

9

15

votes

4

answers

972

views

“Binomial theorem”-like identities

binomial-coefficients

mar 30 '12 at 4:30 Michael Hardy 47.7k

Grigory M

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