# Roy

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# 69 Questions

 14 Calculating the integral $\int_0^{\infty}{\frac{\ln x}{1+x^n}}$ using complex analysis 7 Proving that $\left(1+\frac{z_{1}}{z_{2}}\right)\left(1+\frac{z_{2}}{z_{3}}\right)…\left(1+\frac{z_{n}}{z_{1}}\right)\in\mathbb R$ 6 Why $A_{5}$ has no subgroup of order 20? 6 $||f-f_n||_{L^1} \rightarrow 0$ but $f_n \rightarrow f$ for no $x$ 5 Possible subgroups of $\mathbb{Z}/3^6\mathbb{Z} \oplus\mathbb{Z}/3^5\mathbb{Z}\oplus\mathbb{Z}/3^2\mathbb{Z}$

# 890 Reputation

 +5 The converse of Lagrange mean value theorem +5 $H$ is a maximal normal subgroup of $G$ if and only if $G/H$ is simple. +10 How to interpolate multidimensional functions? +5 Is there an equivalent of Plancherel's theorem with wavelets transform?

 2 How to calculate all the four solutions to $(p+5)(p-1) \equiv 0 \pmod {16}$? 1 For which $a$ does the equation $f(z) = f(az)$ has a non constant solution $f$ 1 G is an abelian group. Prove $G^{(n)}$ is a subgroup of G 0 Proving that $\frac{1}{2\pi}\int_{0}^{2\pi}|f(re^{it})|^2dt=\sum_{n=0}^{\infty}|a_n|^2r^{2n}$

# 45 Tags

 2 elementary-number-theory 0 finite-groups × 8 1 complex-analysis × 23 0 measure-theory × 6 1 group-theory × 14 0 linear-algebra × 5 1 abelian-groups × 3 0 field-theory × 5 1 proof-strategy 0 pde × 4

# 7 Accounts

 Mathematics 890 rep 312 Stack Overflow 205 rep 17 Cross Validated 126 rep 2 TeX - LaTeX 101 rep Physics 101 rep