Nov. 30th, 2007

synchcola: (heyoka "ok")
o/~ Now the story's played out like this
o/~ Just like a paperback novel

Okay, so finals are coming up, and classes are over.

This is something that I just heard yesterday ^^;

(1-i) (5 + i)^4 (239 - i) \in \mathbb R\text{, so, }4 \arctan {1 \over 5} - \arctan {1 \over 239} = {\pi \over 4}


XD

What kind of numbers have
(1-i) (a+i)^r (b+i)^s
an integer, with (r, s) = 1?

There is a special Diophantine equation, I guess. The dude said that if numbers satisfied the above equation, then
1 + a^2 = A^s\text{ or }2A^s


Pf? :)

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