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Bach

Member for 6 years, 10 months
Last seen this week

Summary

Reputation

5,796

5.8k
5.1k
4.4k

2021
2022
2023
2024

Next tag badge

abstract-algebra

77/100 score

31/20 answers

Badges

2

20

43

Newest

Caucus

Next badge

89/100

Socratic

Impact

~135k

people reached

176

helpful flags

2,855

votes cast

Questions

View all 156 questions

13

What is the intuition behind the law of quadratic reciprocity?

Feb 6, 2020

10

Prove $ \sum_{i=0}^{n}(-1)^{i}q^{(i+1)i/2}{n\choose i}_{q}{n+m-i\choose n}_{q}=1 $

Apr 6, 2023

8

Suppose $ \alpha, \beta>0 $. Compute: $ \int_{0}^{\infty}\frac{\cos (\alpha x)-\cos (\beta x)}{x}dx $

Oct 22, 2018

7

Differentiability of $ G(x)=\int_{\mathbb R} e^{tx}f(t)dt $ on $ (0,1) $

Jul 20, 2019

6

Suppose $ H\leqslant G $, prove that if $ (H, G')=\langle e \rangle $, then $ (H', G)=\langle e \rangle $.

Sep 29, 2018

Answers

View all 98 answers

9

Finding all the ideals of $\mathbb{Z} [x]/(2, (x^3+1))$?

Apr 20, 2018

8

Proof for maximal ideals in $\mathbb{Z}[x]$

Jun 28, 2019

7

$K$ is a splitting field $\iff$ any irreducible polynomial with a root in $K$ splits completely over $K$.

Jan 28, 2020

6

What is the difference between $\Bbb F_4$ and $\Bbb Z/4\Bbb Z$

May 2, 2018

6

Evaluate $\sum_{k=0}^n {{2n + 1}\choose {2k + 1}}$

Mar 28, 2019

Tags

View all 168 tags

abstract-algebra

77

Score

74

posts

ring-theory

27

Score

9

posts

group-theory

25

Score

30

posts

real-analysis

23

Score

42

posts

calculus

14

Score

18

posts

Reputation

+10

$K$ is a splitting field $\iff$ any irreducible polynomial with a root in $K$ splits completely over $K$.

+6

Average arc length between two random points on a unit sphere?

+10

Characters of irreducible representations of odd-order groups

+10

Proof for maximal ideals in $\mathbb{Z}[x]$

Badges

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2

gold badges

Electorate

Jul 5, 2019
Fanatic

Dec 19, 2018

20

silver badges

Archaeologist

Jul 7, 2019
Deputy

May 24, 2019
Strunk & White

May 24, 2019

43

bronze badges

Proofreader

Jun 4, 2019
Quorum

Jun 1, 2019
Suffrage

Jul 12, 2019

Accounts

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Votes cast

2,823

upvotes

32

downvotes

1,186

question votes

1,669

answer votes