# Clayton

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21151
bio website math.rochester.edu/people/… location Rochester, NY age 25 member for 2 years, 2 months seen 3 hours ago profile views 1,156

I'm a graduate student at the U of R in Rochester, NY. I enjoy recreational mathematics including problem solving and most things topology.

 20 Does $\bigcap_{n=1}^{+\infty}(-\frac{1}{n},\frac{1}{n}) = \varnothing$? 15 Must a monotone function have a monotone derivative? 13 Prove that there exist no positive integers $m$ and $n$ for which $m^2+m+1=n^2$ 11 Example of a group where $o(a)$ and $o(b)$ are finite but $o(ab)$ is infinite 11 Prove that odd perfect square is congruent to $1$ modulo $8$

# 11,442 Reputation

 +5 Application of Liouville's Theorem +10 How to find maximum value? +15 Can I use Schwartz's Lemma to prove that $f(0)=0$ and $\operatorname{Re}f(z)\rightarrow 0$ implies $f(z)=0$ for all $z\in\mathbb{C}$? +10 How to show that $A_k=(-1)^k\binom nk$?

# 56 Questions

 24 Application of Liouville's Theorem 12 Complex Integration of $\int_0^\infty e^{-ax}\cos(bx)\,dx$ 11 Integrating $\int_0^\infty \frac{\log x}{(1+x)^3}\,\operatorname d\!x$ using residues 11 Intuition Behind an Identity 11 Vandermonde Determinant

# 129 Tags

 165 real-analysis × 89 55 sequences-and-series × 31 108 abstract-algebra × 47 50 complex-analysis × 45 87 calculus × 51 45 integration × 22 80 group-theory × 33 44 functions × 23 70 analysis × 24 41 algebra-precalculus × 22

# 3 Accounts

 Mathematics 11,442 rep 21151 TeX - LaTeX 187 rep 8 Mathematica 111 rep 3