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The title of a paper doesn't need to tell you exactly what the paper has in it. (It can't, except in those cases where the content of the paper is perfectly expressible in a single snappy sentence.)

It does need to (1) give a clue whether you want to read it and (2) let you recall what the paper is about when you see the title on a later occasion.

In this instance, #1 goes like this: "Oh, it's by Lenstra. And it's got a cutesy title. It's got to be worth a look, if only to see what on earth the title means." And #2 ... well, do you think any interested party who read this paper is going to have any difficulty remembering what it's about, say, 10 years from now? I don't.

You can't get away with this sort of thing if you aren't as big a name as Lenstra -- or if your paper isn't about something vitally important that (in hindsight) is easily associated with the paper title. But that's OK. Most of Lenstra's papers have titles like "Fast Irreducibility and Subgroup Membership Testing in XTR" and "Factoring Multivariate Polynomials over Algebraic Number Fields".



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