User happymath

29 votes

4 answers

20k views

How to find continued fraction of pi

pi continued-fractions

asked Mar 18, 2014 at 16:16

14 votes

2 answers

2k views

Applications of Eckmann–Hilton argument

asked Mar 24, 2015 at 4:45

13 votes

1 answer

436 views

Proving that the number of integer solutions of $x^2-Ny^2=1$ is infinite

abstract-algebra number-theory algebraic-number-theory

asked Apr 25, 2015 at 21:59

12 votes

1 answer

598 views

Can intersection of two manifolds be $xy=0$

manifolds examples-counterexamples

asked Oct 5, 2015 at 4:06

12 votes

2 answers

1k views

Importance of the zero free region of Riemann zeta function

self-learning analytic-number-theory riemann-zeta riemann-hypothesis

asked Dec 24, 2014 at 4:41

7 votes

1 answer

830 views

A combinatorial proof of Wilson's Theorem

combinatorics elementary-number-theory alternative-proof

asked Dec 22, 2014 at 5:27

7 votes

1 answer

421 views

Proving that the tangent vector of a simple closed curve rotates by $ 2 \pi$

differential-geometry algebraic-topology homotopy-theory covering-spaces

asked Aug 10, 2015 at 4:49

7 votes

2 answers

231 views

On the philosophy of Category Theory

soft-question category-theory

asked Mar 3, 2015 at 17:13

7 votes

0 answers

344 views

Applications of Atiyah Singer Index Theorem

reference-request partial-differential-equations manifolds differential-topology low-dimensional-topology

asked Mar 16, 2017 at 14:39

6 votes

2 answers

140 views

Calculating the extraordinary cohomology of $\mathbb{C}P^n$

algebraic-topology homotopy-theory spectral-sequences stable-homotopy-theory spectra

asked Apr 2, 2017 at 19:30

6 votes

1 answer

2k views

Applications of Whitney's Approximation Theorem

differential-topology applications

asked Oct 31, 2015 at 6:20

6 votes

1 answer

510 views

Classifying map of tensor product of two line bundles

algebraic-topology homotopy-theory vector-bundles classifying-spaces stable-homotopy-theory

asked Apr 15, 2017 at 12:33

6 votes

1 answer

138 views

Group of units of $\mathbb{Z}_3[[x]]$

abstract-algebra group-theory p-adic-number-theory formal-power-series

asked Apr 9 at 20:42

6 votes

2 answers

268 views

A strange answer for $\int _{-1}^1 \log x\; dx$

integration complex-analysis definite-integrals wolfram-alpha

asked Aug 18, 2014 at 9:54

5 votes

1 answer

501 views

Finding an analytic function such that real part is the given function.

complex-analysis proof-verification

asked Aug 20, 2014 at 10:39

5 votes

2 answers

327 views

An example of space $V$ such that $(V^{\perp})^{\perp} \neq V$

linear-algebra vector-spaces

asked Jul 17, 2014 at 5:02

5 votes

1 answer

1k views

value of the integral $\int_0^{2\pi} \log|1-ae^{i \theta}| $

complex-analysis self-learning

asked Jun 3, 2014 at 9:22

5 votes

7 answers

2k views

Proving that $\sqrt[3] {2} ,\sqrt[3] {4},1$ are linearly independent over rationals

linear-algebra radicals

asked Jun 10, 2014 at 10:13

5 votes

1 answer

565 views

Does there exist a nowhere differentiable, everywhere continous, monotone somewhere function?

real-analysis measure-theory functions examples-counterexamples

asked Mar 20, 2014 at 16:12

5 votes

1 answer

236 views

Proving a set to be closed

real-analysis general-topology

asked Feb 28, 2014 at 8:55

5 votes

1 answer

149 views

How to integrate $\int_0^{\infty}\frac{e^{-(t+\frac1t)}}{\sqrt t} dt$?

calculus complex-analysis definite-integrals closed-form gaussian-integral

asked Feb 28, 2015 at 12:40

5 votes

1 answer

313 views

If the suspensions of two simply connected spaces are homotopy equivalent, are the spaces homotopy equivalent?

algebraic-topology homotopy-theory

asked Feb 18, 2017 at 4:44

4 votes

1 answer

214 views

Proving that $\xi$ is a trivial vector bundle iff $\xi \oplus \varepsilon^1$ is trivial

vector-bundles topological-k-theory classifying-spaces

asked Feb 25, 2017 at 8:15

4 votes

3 answers

1k views

Proving that hopf map from $S^3 \to S^2 $ is not null homotopic

algebraic-topology homotopy-theory

asked Oct 1, 2016 at 9:36

4 votes

0 answers

342 views

Proving euler class of trivial bundle is zero

algebraic-topology differential-topology vector-bundles characteristic-classes

asked Nov 4, 2016 at 16:46

4 votes

1 answer

445 views

Reference for Whitney's approximation theorem for manifolds with boundary

reference-request differential-topology

asked Nov 1, 2015 at 9:48

4 votes

2 answers

241 views

A question on the non trivial rank three bundle on $S^2$

differential-geometry algebraic-topology differential-topology homotopy-theory

asked Jul 14, 2016 at 9:47

4 votes

2 answers

92 views

Constructing an Equidistributed set

real-analysis measure-theory ergodic-theory

asked Aug 12, 2016 at 15:08

4 votes

1 answer

221 views

Equivalence between two definitions of compactifications of an elliptic curve

algebraic-geometry elliptic-curves projective-geometry riemann-surfaces

asked Oct 25, 2017 at 6:36

4 votes

1 answer

288 views

Proving $\Gamma(x)$ is holomorphic

complex-analysis limits uniform-convergence gamma-function

asked Jan 7, 2015 at 2:55

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126 Questions

How to find continued fraction of pi

Applications of Eckmann–Hilton argument

Proving that the number of integer solutions of $x^2-Ny^2=1$ is infinite

Can intersection of two manifolds be $xy=0$

Importance of the zero free region of Riemann zeta function

A combinatorial proof of Wilson's Theorem

Proving that the tangent vector of a simple closed curve rotates by $ 2 \pi$

On the philosophy of Category Theory

Applications of Atiyah Singer Index Theorem

Calculating the extraordinary cohomology of $\mathbb{C}P^n$

Applications of Whitney's Approximation Theorem

Classifying map of tensor product of two line bundles

Group of units of $\mathbb{Z}_3[[x]]$

A strange answer for $\int _{-1}^1 \log x\; dx$

Finding an analytic function such that real part is the given function.

An example of space $V$ such that $(V^{\perp})^{\perp} \neq V$

value of the integral $\int_0^{2\pi} \log|1-ae^{i \theta}| $

Proving that $\sqrt[3] {2} ,\sqrt[3] {4},1$ are linearly independent over rationals

Does there exist a nowhere differentiable, everywhere continous, monotone somewhere function?

Proving a set to be closed

How to integrate $\int_0^{\infty}\frac{e^{-(t+\frac1t)}}{\sqrt t} dt$?

If the suspensions of two simply connected spaces are homotopy equivalent, are the spaces homotopy equivalent?

Proving that $\xi$ is a trivial vector bundle iff $\xi \oplus \varepsilon^1$ is trivial

Proving that hopf map from $S^3 \to S^2 $ is not null homotopic

Proving euler class of trivial bundle is zero

Reference for Whitney's approximation theorem for manifolds with boundary

A question on the non trivial rank three bundle on $S^2$

Constructing an Equidistributed set

Equivalence between two definitions of compactifications of an elliptic curve

Proving $\Gamma(x)$ is holomorphic