User The Substitute

14 votes

1 answer

823 views

Classification of all 28 Exotic 7-Spheres

asked Mar 16, 2013 at 1:21

11 votes

3 answers

11k views

Outer measure of a union of 2 subsets of disjoint measurable sets of real numbers.

real-analysis measure-theory

asked Aug 13, 2012 at 1:20

10 votes

2 answers

645 views

If GCD $(a_1,\ldots, a_n)=1$ then there's a matrix in $SL_n(\mathbb{Z})$ with first row $(a_1,\ldots, a_n)$

matrices determinant gcd-and-lcm

asked Jun 20, 2016 at 22:57

9 votes

2 answers

742 views

False notion of Limit in Stewart's "Calculus"

calculus limits soft-question education

asked Oct 8, 2015 at 7:19

8 votes

3 answers

1k views

Convergence in the Box Topology.

general-topology convergence-divergence

asked Dec 18, 2012 at 8:34

8 votes

3 answers

8k views

Computing Infinite Continued Fractions

problem-solving continued-fractions

asked Sep 5, 2013 at 5:41

7 votes

1 answer

3k views

Terminology: Independent Copy of Random Variables

probability soft-question terminology

asked Oct 7, 2016 at 3:59

7 votes

1 answer

146 views

Does a Sequence have these properties?

sequences-and-series limits

asked Jan 3, 2017 at 10:26

6 votes

0 answers

334 views

Finding a Formula for a Sum

number-theory summation prime-numbers closed-form

asked Aug 2, 2017 at 3:33

6 votes

1 answer

189 views

Checking if Tedious Limit is $0$.

calculus limits computational-mathematics

asked Jan 1, 2017 at 5:55

6 votes

1 answer

421 views

Struggling with an Application of Rouche's Theorem

complex-analysis roots

asked Jun 2, 2015 at 4:34

6 votes

1 answer

447 views

Evaluating $\int_0 ^{\infty}\frac{dx}{x^{1/3}(1+x)}$ using Complex Analysis

complex-analysis contour-integration residue-calculus

asked Jun 6, 2015 at 5:57

6 votes

2 answers

187 views

Proving or Disproving the Existence of a Function on the Unit Disc

complex-analysis

asked Jun 9, 2015 at 6:54

6 votes

2 answers

344 views

Mistake in Khinchin's "Continued Fractions"

continued-fractions

asked Jul 1, 2013 at 6:16

5 votes

3 answers

3k views

Determining if a recursively defined sequence converges and finding its limit

real-analysis sequences-and-series recurrence-relations

asked Aug 15, 2014 at 8:03

5 votes

1 answer

909 views

Is this partial converse of the excision property for outer measure true?

real-analysis measure-theory lebesgue-measure

asked Nov 1, 2014 at 9:53

5 votes

2 answers

908 views

The complement of a torus is a torus.

general-topology soft-question visualization

asked Mar 19, 2013 at 19:29

5 votes

5 answers

627 views

Is the set of all rationals with denominators less than $10^6$ closed in $\mathbb{R}$?

real-analysis general-topology

asked Jul 6, 2012 at 21:59

5 votes

3 answers

4k views

Two Formulas for Radius of Convergence of power series.

real-analysis power-series

asked Feb 25, 2012 at 1:25

5 votes

2 answers

897 views

Showing Sylow $p$-groups are Abelian if $n_p=2p+1$

abstract-algebra group-theory finite-groups sylow-theory

asked Jul 13, 2015 at 9:46

5 votes

1 answer

4k views

Groups of Order 12 aren't Simple

abstract-algebra finite-groups sylow-theory

asked Dec 18, 2014 at 17:24

5 votes

1 answer

2k views

Determining the Number of Zeros of a (Holomorphic) Polynomial $f:\mathbb{C}\to\mathbb{C} $ in each Quadrant.

complex-analysis polynomials

asked Jan 16, 2015 at 2:09

5 votes

0 answers

251 views

If $f$ is integrable, then $\sum\limits_{n\ge 1}\frac{1}{\sqrt n}\vert f(x-\sqrt n)\vert$ is almost everywhere finite

real-analysis integration summation

asked Feb 8, 2015 at 8:42

5 votes

1 answer

110 views

Moving from one Coupling to another

linear-algebra probability-theory probability-distributions linear-transformations coupling

asked Oct 6, 2017 at 4:05

5 votes

2 answers

376 views

Upper Bound for Finite Euler Product

number-theory prime-numbers products

asked Oct 13, 2017 at 10:48

4 votes

1 answer

156 views

Distribution of Irreducible Factors of Polynomials over $\mathbb{F}_2$

probability-theory irreducible-polynomials

asked Jan 30, 2018 at 8:10

4 votes

1 answer

238 views

Summing $\sum\frac{1}{i}$ with two constraints on $i$

combinatorics elementary-number-theory summation

asked May 28, 2018 at 6:58

4 votes

1 answer

99 views

Determining if a Continuous $u:\mathbb{C}\to \mathbb{R}$ Satisfying some Property is Harmonic

complex-analysis harmonic-functions

asked Feb 14, 2015 at 12:06

4 votes

1 answer

525 views

If $f:D\to D-\lbrace 0 \rbrace$ is Holomorphic with $f(0)=1/2,$ then $\vert f(1/2)\vert\ge 1/8$

complex-analysis

asked Mar 11, 2015 at 7:03

4 votes

2 answers

134 views

Showing that the Field Extension $\mathbb{Q}(T^{1/4})/ \mathbb{Q}(T)$ is not Galois

abstract-algebra field-theory galois-theory

asked Jul 16, 2015 at 8:36

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179 Questions

Classification of all 28 Exotic 7-Spheres

Outer measure of a union of 2 subsets of disjoint measurable sets of real numbers.

If GCD $(a_1,\ldots, a_n)=1$ then there's a matrix in $SL_n(\mathbb{Z})$ with first row $(a_1,\ldots, a_n)$

False notion of Limit in Stewart's "Calculus"

Convergence in the Box Topology.

Computing Infinite Continued Fractions

Terminology: Independent Copy of Random Variables

Does a Sequence have these properties?

Finding a Formula for a Sum

Checking if Tedious Limit is $0$.

Struggling with an Application of Rouche's Theorem

Evaluating $\int_0 ^{\infty}\frac{dx}{x^{1/3}(1+x)}$ using Complex Analysis

Proving or Disproving the Existence of a Function on the Unit Disc

Mistake in Khinchin's "Continued Fractions"

Determining if a recursively defined sequence converges and finding its limit

Is this partial converse of the excision property for outer measure true?

The complement of a torus is a torus.

Is the set of all rationals with denominators less than $10^6$ closed in $\mathbb{R}$?

Two Formulas for Radius of Convergence of power series.

Showing Sylow $p$-groups are Abelian if $n_p=2p+1$

Groups of Order 12 aren't Simple

Determining the Number of Zeros of a (Holomorphic) Polynomial $f:\mathbb{C}\to\mathbb{C} $ in each Quadrant.

If $f$ is integrable, then $\sum\limits_{n\ge 1}\frac{1}{\sqrt n}\vert f(x-\sqrt n)\vert$ is almost everywhere finite

Moving from one Coupling to another

Upper Bound for Finite Euler Product

Distribution of Irreducible Factors of Polynomials over $\mathbb{F}_2$

Summing $\sum\frac{1}{i}$ with two constraints on $i$

Determining if a Continuous $u:\mathbb{C}\to \mathbb{R}$ Satisfying some Property is Harmonic

If $f:D\to D-\lbrace 0 \rbrace$ is Holomorphic with $f(0)=1/2,$ then $\vert f(1/2)\vert\ge 1/8$

Showing that the Field Extension $\mathbb{Q}(T^{1/4})/ \mathbb{Q}(T)$ is not Galois