4 ms·
In some sense the title is a bit misleading (one is led to think of Analytic Number Theory). I'd rather use the title "Using differentials to...", which is more
by pfortuny 7mo ago
In some sense the title is a bit misleading (one is led to think of Analytic Number Theory). I'd rather use the title "Using differentials to...", which is more precise, as there is not exactly any "calculus" going on but there is indeed differential algebra and differential "number theory", so to speak.
But great and elegant article. Thanks.
- measurablefunc 7mo agoThe technical term is "formal derivative" b/c there are no limits involved, it's basically a rewrite rule for changing x^n to nx^(n-1).
- pfortuny 7mo agoI know, yes, but did not want to digress. Thanks though. Actually, it is the "extension" to K[e] with e^2=0, as "usual".
- measurablefunc 7mo agoThe infinitesimally thickened point.
- ne38 7mo agoActually it is Calculus in p-adic numbers!
- pfortuny 7mo agoMmmmhhhh, sure? Because p-adic numbers have characteristic 0, AFAIK.