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Apr
16
accepted Show that $\mathrm{SO}_3(\mathbb{Q}_p) \simeq \mathrm{SL}_2(\mathbb{Q}_p) $
Apr
15
accepted How do I get $ \int_0^1 \frac{dz}{\sqrt{z(z - 1\,)(z+1\,)}} = \frac{\sqrt{\pi}}{2} \frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{9}{4})}$?
Mar
22
accepted equivalent to $A \to (C \leftrightarrow D)$
Feb
4
accepted How to derive $\sum_{n=0}^\infty 1 = -\frac{1}{2}$ without zeta regularization
Jan
29
accepted Does $\overline{ \sqrt{1 + i}} = \sqrt{1-i} \ $?
Jan
26
accepted express as contour integral $ f(x) = \int_0^\infty dt \; e^{-t/g} \; \frac{1}{\sqrt{1 - 2 t x}} $
Jan
10
accepted What is the minimum polynomial of $x = \sqrt{2}+\sqrt{3}+\sqrt{4}+\sqrt{6} = \cot (7.5^\circ)$?
Jan
6
accepted Prove there are infinitely many primes in $\mathbb{Z}[i]$
Dec
26
accepted How do I simplify: $ \exp \left(-a \frac{\log x}{\log Q} \right) $?
Dec
23
accepted What is $\frac{1}{1+\sqrt[3]{2}}$ in $\mathbb{Q}(\sqrt[3]{2})$?
Dec
22
accepted Show $a^2 + b^2 + 1 \equiv 0 \mod p$ always has a solution if $p = 4k+3$
Dec
22
accepted Does $f''(0^+)=f''(0^-)$?
Dec
16
accepted Is there a special value for $\frac{\zeta'(2)}{\zeta(2)} $?
Dec
7
accepted $10^9 \times \sqrt{3}$ what are first two digits after the decimal point?
Nov
27
accepted Alternative definition of Gamma function. Show that $ \lim_{n \to \infty} \frac{n! \; n^m}{m \times (m+1) \times \dots \times (m+n)} = (m-1)!$
Nov
22
accepted Do the adeles $\mathbb{A}$ have the same cardinality as the real numbers $\mathbb{R}$?
Nov
16
accepted How to estimate $ \left(1 + \sqrt{2} + \sqrt{3} + \dots + \sqrt{n} \right) - \frac{2}{3} n \sqrt{n}$?
Aug
26
accepted Large regions of the plane $(x,y) \in \mathbb{Z}^2$ with no relatively prime points: $\mathrm{gcd}(x,y) > 1$
Aug
19
accepted Prove or disprove: $ \sum_{b \vee d = x} \tau(b) \tau(d) = \tau(x)^3$
Jul
30
accepted Computing the intersection of two arithmetic sequences $(a\mathbb{Z} + b) \cap (c \mathbb{Z} + d)$