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Mar
1
revised Is the set of integers with respect to the p-adic metric compact?
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Mar
1
asked Is the set of integers with respect to the p-adic metric compact?
Feb
22
accepted Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
Feb
22
comment Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
I do! =] ok thanks everyone for the quick responses.
Feb
22
comment Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
Ohh ok! I get it, so it's for a fixed rational, and it's the absolute value that is running through all primes, is that correct?
Feb
22
revised Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
added 170 characters in body
Feb
22
comment Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
@git gud thanks good tip
Feb
22
asked Prove that $\displaystyle\prod_{q\in \mathbb{Q}^{\times}}|q|=1$
Feb
19
accepted Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
Feb
17
answered Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
Feb
17
comment Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
@WillJagy That's probably the same contour I'm using, it is a parallelogram(rhombus), not a rectangle. It's definitely doable anyways, since the contour is given to me explicitly in my book.
Feb
17
revised Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
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Feb
17
comment Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
Ok that makes sense
Feb
17
revised Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
edited title
Feb
17
comment Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
Something I'm not completely confident about is are these poles in fact of order 1?
Feb
17
revised Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
added 1 characters in body
Feb
17
comment Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
Yes but $a=\sqrt{\pi}e^{\frac{\pi i}{4}}$, so bringing it up to the numerator and making the powers negative simplifies to $a$ up above, since $i=e^{\frac{\pi i}{2}}$. Or I guess simpler would be just to refer to my note that $\pi i=a^2$.
Feb
17
comment Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
The only thing different between mine and yours is you have an extra factor of 2 in the denominator, and I think that might have been a mistake on your part.
Feb
17
asked Complex Analytic Proof of the Gaussian Integral $\int_{-\infty}^{\infty}e^{-z^2}dz=\sqrt{\pi}$
Feb
15
accepted The Group of points on the Elliptic curve $y^2=x^3+1$ over $\mathbb{F}_5$