Alyosha
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### Questions (93)

 14 Is there a slowest rate of divergence of a series? 12 Is there a general way to prove series and products are modular? 12 What's the proof that the Euler totient function is multiplicative? 10 Find $\int_{0}^{\frac{\pi}{2}} \ln(\sin(x)) \ln( \cos(x))\,\mathrm dx$ 10 How to solve $x!=5^x$?

### Reputation (2,244)

 +5 Constrained variational problems intuition +5 Is the pushforward measure a categorical-theoretic pushout? +5 Is there a slowest rate of divergence of a series? +5 Derivation of multivariable Taylor series

 122 Best Fake Proofs? (A M.SE April Fools Day collection) 13 Integrality of $\frac{n}{3} + \frac{n^2}{2} + \frac{n^3}{6}$ 7 Evaluating $\frac{d^2y}{dx^2}$ 6 Closed form for $\int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$ 5 Convergence of the integral $\int\limits_{1}^{\infty} \left( \frac{1}{\sqrt{x}} - \frac{1}{\sqrt{x+3}} \right) \, dx$

### Tags (129)

 24 calculus × 8 5 complex-numbers × 6 22 elementary-number-theory × 12 5 modular-arithmetic × 3 14 definite-integrals × 11 5 linear-algebra × 2 11 integration × 15 5 analysis 9 sequences-and-series × 5 4 probability × 4

### Accounts (10)

 Mathematics 2,244 rep 1936 Physics 670 rep 722 Chemistry 335 rep 19 Biology 301 rep 18 History 151 rep 4