User Grigory M - Mathematics Stack Exchange

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	6,912 reputation	bio	website		visits	member for	2 years, 10 months
22149 badges		location	Moscow, Russia		seen	28 mins ago

91

131

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17

answers

8

kviews

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

mar 8 at 13:57 xpaul 1

51

73

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

28

69

votes

5

answers

3

kviews

Cutting sticks puzzle

combinatorics puzzle

sep 30 '11 at 14:21 Gerard 174

40

65

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 1,083

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 58.1k

25

53

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 48.2k

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 25.9k

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

32

votes

1

answer

550

views

How does one see Hecke Operators as helping to generalize Quadratic Reciprocity?

number-theory intuition modular-forms quadratic-reciprocity

may 10 '12 at 4:05 Matt E 58.1k

8

32

votes

1

answer

624

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Is $1+x+\frac{x^2}2+\dots+\frac{x^n}{n!}$ irreducible?

abstract-algebra polynomials

apr 13 '12 at 5:40 Martin Sleziak 20.3k

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 881

8

29

votes

2

answers

1

kviews

Identity for convolution of central binomial coefficients

combinatorics binomial-coefficients

apr 13 at 21:52 Marc van Leeuwen 23.9k

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

12

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♦ 15.2k

9

27

votes

2

answers

1

kviews

A zero sum subset of a sum-full set

combinatorics

jun 10 '11 at 23:17 Aryabhata 47.6k

7

26

votes

1

answer

564

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A Universal Property Defining Connected Sums

general-topology reference-request

mar 9 at 2:46 Martin Brandenburg 22.9k

15

26

votes

4

answers

1

kviews

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

linear-algebra matrices

may 17 at 7:06 Landscape 7,720

11

25

votes

4

answers

737

views

Fermat's Last Theorem and Kummer's Objection

number-theory ring-theory algebraic-number-theory field-theory factoring

dec 25 at 23:46 BenjaLim 16.8k

12

25

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 1,056

7

24

votes

3

answers

310

views

Is $T^1 S^5$ abstractly diffeomorphic to $S^4\times S^5$?

algebraic-topology differential-geometry

apr 25 at 18:06 Jason DeVito 14.3k

5

23

votes

2

answers

974

views

Why do some Fibonacci numbers appear in an approximation for $e^{\pi\sqrt{163}}$?

number-theory sequences-and-series fibonacci-numbers

apr 26 '12 at 15:44 Alex 92

8

22

votes

5

answers

883

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Can every group be represented by a group of matrices?

group-theory representation-theory

nov 25 '11 at 11:23 user1729 3,354

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 25.9k

6

21

votes

2

answers

792

views

The identity cannot be a commutator in a Banach algebra?

functional-analysis banach-algebras

feb 10 at 20:07 Jonas Meyer 35k

10

21

votes

1

answer

719

views

Relation between the Dedekind Zeta Function and Quadratic Reciprocity

number-theory algebraic-number-theory

apr 25 '11 at 7:52 Adrián Barquero 6,717

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 2,934

7

20

votes

2

answers

481

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Old AMM problem

linear-algebra matrices

jan 25 '12 at 18:22 David Speyer 18.7k

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. 43.2k

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

11

18

votes

7

answers

730

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Applications of Gauss sums

number-theory

jun 25 '11 at 23:40 paul garrett 10.5k

Grigory M

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