What the heck is this? A zero, or not?
Him after me, no more problem. Take the fourth and the fifth.
You want some uniform? Take my test.
But don't touch my curve. It's in one piece, but has spikes everywhere!
Who am I?
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I am confident you are
The last clue refers to the
Weierstrass function, continuous everywhere, differntiable nowhere.
The third clue refers to
Weierstrass M-test for uniform convergence.
Still working on exactly what the first and second reference, will update soon.
The first clue
Possibly a reference to the Weierstrass factorization theorem which concerns the relationship between an entire complex function and it’s zeroes.
The second clue
The second clue is almost surely referring to the $\epsilon$-$\delta$ definition of the limit, proved first by Bolzano and finally established in mainstream mathematical thought by Weierstrass. $\epsilon$ and $\delta$ are the fifth and fourth letters of the Greek alphabet, so "him after me" refers to the swapping of the order of those two letters.