Freeman

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1,384 reputation

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	location	United Kingdom
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visits	member for	1 year, 11 months
	seen	Apr 25 at 8:37
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I am a third year mathematics student at the University of Oxford with interests in applied maths and mathematical physics.

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96 Questions

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21	Would a proof to the Riemann Hypothesis affect security?
9	Why is a finite integral domain always field?
8	What contour should be used to evaluate $\int_0^\infty \frac{\sqrt{t}}{1+t^2} dt$
7	Proving: $2n (\sum_{i=1}^{2n} a_i^2) \geq (\sum_{i=1}^{2n} a_i)^2+(\sum_{i=1}^{2n} a_i (-1)^i)^2$
6	How to prove $\nabla\cdot \vec{B}=0 \Rightarrow \exists \vec{A}:\vec{B}=\nabla \times \vec{A}$

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1,384 Reputation

+5	Evaluate $\sum\limits_{n=0}^\infty \frac{1}{4n^2+1}$ by using complex contour integration
+5	Evaluate $\oint_C \ e^{2z}(z+1)^{-1} \, \mathrm dz$ where $C=\{z\in \mathbb{C}: \|z\|=2 \}$
+5	How to prove $\bar{m}$ is a zero divisor in $\mathbb{Z}_n$ if and only if $m,n$ are not coprime
+5	What is the radius of convergence of $\displaystyle\sum z^{n!}$?

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5 Answers

votes activity newest

3	Why are maximal ideals prime?
2	Obtaining Poisson's formula from a integral of summation
1	Solve $I[y]=\int_{x_0}^{x_1}y^{-\frac{1}{2}}(1+(y')^2)^\frac{1}{2} \mathrm dx$ parametrically
1	Proving $\int_0^\infty \frac{w}{1+w^2} \sin wx dw=\frac{\pi}{2}e^{-x}$ with the Laplace transformation (and/or Fourier transformation)
1	Finding the basis of a dual space with respect to a vector space of polynomials of at most degree 3 over a field F

56 Tags

3 ring-theory × 13	2 fourier-series × 2
3 commutative-algebra × 5	1 linear-algebra × 18
3 ideals × 3	1 homework × 14
2 differential-equations × 6	1 vector-spaces × 8
2 real-analysis × 4	1 calculus-of-variations × 3

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3 Accounts

$Mathematics Stack Exchange$	Mathematics	1,384 rep	220
	Physics	298 rep	28
	Academia	126 rep	1

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