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91 Questions

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9	Prove or Disprove that $\left\|\frac{e^{2i\theta} -2e^{i\theta} - 1}{e^{2i\theta} + 2e^{i\theta} -1}\right\| = 1$
7	Trying to prove $\frac{2}{n+\frac{1}{2}} \leq \int_{1/(n+1)}^{1/n}\sqrt{1+(\sin(\frac{\pi}{t}) -\frac{\pi}{t}\cos(\frac{\pi}{t}))^2}dt$
7	Is it Possible to have Two Distinct Analytic Functions with the Same Real Part?
7	Show bounded harmonic function on $\mathbb{C}$ is constant.
6	For $I,J$ ideals, show that $IJ\subseteq (I\cap J)(I+J)$

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1,296 Reputation

+5	Help me solve this recurrence relation
+15	The semifinite portion of a measure $\mu$
+5	Counterexample to upper continuity
+5	Questions regarding the use of Index Calculus for finite fields and elliptic curves

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5 Answers

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4	Let $M$ be a maximal ideal in $R$ such that for all $x\in M$, $x+1$ is a unit. Show that $R$ is a local ring with maximal ideal $M$
3	Accidents of small $n$
2	Help me prove the identity $\overline{f(0)} = \frac{1}{2\pi}\int_0^{2\pi}\frac{e^{i\phi}}{e^{i \phi}-z}\overline{f(e^{i\phi})}d\phi$
0	Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
0	Show that $(x+1+O(x^{-1}))^x = ex^x + O(x^{x-1})$ for $x\rightarrow \infty$

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4 commutative-algebra × 3	0 real-analysis × 11
3 examples-counterexamples × 2	0 number-theory × 8
3 big-list	0 group-theory × 6
2 complex-analysis × 26	0 measure-theory × 6

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