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# 22 Answers

 5 Prove $\sin x$ is uniformly continuous on $\mathbb R$ 3 Limit for a Recurrence Relation 3 How to prove $\sum_{n=1}^{\infty}\left|\frac{a_{1}+\cdots+a_{n}}{n}\right|^{p}\leq\left(\frac{p}{p-1}\right)^{p}\sum_{n=1}^{\infty}|a_{n}|^{p}$ 3 How to show $\sum_{n=j}^{\infty}n^{-\alpha/p}\leq j^{-\alpha/p}+\frac{p}{\alpha-p}j^{(p-\alpha)/p}$ 2 Liouville's formula

# 898 Reputation

 +5 Sources on Inverse Spectral Theory +5 Composition of Analytic Functions +5 How to apply Borel-Cantelli Lemma? +10 Theory of the Mathieu Operator

# 19 Questions

 8 Convergence of $\int\limits_{\mathbb{R}}\sum\limits_{n=1}^\infty f(nx+n!)dx$ 7 Sources on Several Complex Variables 6 How to apply Borel-Cantelli Lemma? 5 Convergence of $\int\int_{|x|\geq 1,|y|\geq 1} \frac{1}{|x|^\alpha+ |y|^\beta} \;dx\;dy$ 4 Domain of Holomorphy

# 41 Tags

 9 calculus × 7 5 continuity 8 real-analysis × 10 5 functions 6 inequality × 3 4 asymptotics × 6 5 differential-equations × 5 4 analysis × 2 5 limits × 2 3 sequences-and-series × 3

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 Mathematics 898 rep 414 History 225 rep 16 Philosophy 101 rep 1 Russian Language 101 rep MathOverflow 101 rep 2

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 Yearling × 2 Organizer Informed Excavator Analytical Enthusiast Constituent Critic Caucus × 2 Teacher

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