Puiseux?

[alf@mpce.mq.edu.au (Alf van der Poorten)]

Given a polynomial $f(x,y)$ I [think I] need a GP instruction allowing me
to find a [or, rather, the] Laurent series in $z=x$, or $z=x^{-1}$, or
$z=x^{1/n}$ or $z=\ldots$ (my choice; the program will complain about my
idiotic choice if it is [idiotic], perhaps telling me that I needed a
fractional power).

Have I overlooked an existing PARI instruction? Has Henri overlooked a
useful instruction? Surely, algebraic series are as deserving as algebraic
numbers?

I sort of know how to do it `by hand' but that requires thought. I was
hoping just to press buttons. My current particular need is to do it over
finite fields.
------------------------
Alf vdP
alf@mpce.mq.edu.au   phone: +61 2 9850 8947 fax: +61 2 9850 8114
home: +61 2 9416 6026   mobile: +61 4 1826 3129 (from MQ: #6335)