As with most of the author's conjectures, this new conjecture stems from
analogies with Nevanlinna theory; in this case it corresponds to a Second
Main Theorem in Nevanlinna theory with truncated counting functions.
The original abc conjecture of Masser and Oesterlé corresponds to the
Second Main Theorem with truncated counting functions on

- gabc.dvi (58996 bytes) [1998 Jun 9]
- gabc.dvi.gz (25247 bytes)
- gabc.ps.gz (89725 bytes)

Paul Vojta <vojta@math.berkeley.edu>