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awwalker

Member for 13 years, 3 months
Last seen more than 2 years ago

awwalker.com
Providence, RI

Summary

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6,934

6.9k
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Top tag

number-theory

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10,000 Rep.

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Answers

View all 86 answers

144

Proof that ${\left(\pi^\pi\right)}^{\pi^\pi}$ (and now $\pi^{\left(\pi^{\pi^\pi}\right)}$) is a noninteger.

May 23, 2013

75

What is the role of mathematical intuition and common sense in questions of irrationality or transcendence of values of special functions?

May 9, 2013

29

Cool mathematics I can show to calculus students.

Oct 1, 2013

13

Conjectural closed-form representations of sums, products or integrals

May 16, 2013

7

Find what values of $n$ give $\varphi(n) = 10$

May 24, 2013

Questions

View all 25 questions

16

Necessary and sufficient conditions for a polynomial in $\mathbb{Z}[t]$ to have an $n$th root in $\mathbb{Z}[[t]]$

Jul 17, 2011

12

Prove that $\sum_{n=1}^\infty \mu(n) \frac{\log n}{n} =1$

Dec 10, 2012

10

Is there an intuitive proof of the identity $ \sum_{L \subset S} \prod_{x \in L} (x-1) = \prod_{x \in S} x$ from general principles?

Mar 12, 2013

9

Prove that a holonomic (p-recursive) difference equation returns only integral values

Jun 14, 2011

9

A field which is not algebraically closed but has no extensions of a fixed degree(s)?

Feb 15, 2012

Tags

View all 98 tags

number-theory

189

Score

24

posts

numerical-methods

150

Score

2

posts

arithmetic

146

Score

2

posts

pi

144

Score

1

post

gamma-function

86

Score

4

posts

Reputation

+20

What is the role of mathematical intuition and common sense in questions of irrationality or transcendence of values of special functions?

+10

Prove that $\log X < X$ for all $X > 0$

+15

Explore the solution space of an equation?

+10

Proof that ${\left(\pi^\pi\right)}^{\pi^\pi}$ (and now $\pi^{\left(\pi^{\pi^\pi}\right)}$) is a noninteger.

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Sep 9, 2017

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Dec 20, 2013
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Apr 3, 2012

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Votes cast

186

upvotes

7

downvotes

87

question votes

106

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