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Adam Hughes

I'm interested in a lot of things including, but not limited to: number theory, abstract harmonic analysis, ergodic theory, q-series, Galois theory, heights, representation theory, and automorphic forms.

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143 What makes a theorem “fundamental”? Sep 26 '14
48 Percentage of natural numbers that are perfect squares? Dec 12 '16
40 How would you show that the series $\sum_{n=1}^\infty \frac{(2n)!}{4^n (n!)^2}$ diverges? Aug 9 '16
22 Proof that $26$ is the one and only number between square and cube Jul 21 '14
21 Integration by substitution, why do we change the limits? Jul 16 '14
21 Sum of compact sets Jan 6 '15
21 Why is quadratic integer ring defined in that way? Mar 20 '15
19 In a principal ideal domain, prove that every non trivial prime ideal is a maximal ideal. What could be wrong in this approach? Jul 12 '14
19 $\sum_{p \in \mathcal P} \frac1{p\ln p}$ converges or diverges? Nov 19 '14
17 Proof that $S_3$ isomorphic to $D_3$ Sep 15 '14
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