
Special day on the ABCconjecture, September 9 2005
This is the kickoff meeting of an NWO sponsored "Leraar in Onderzoek"
project that will help Kennislink
to take ABC to the masses.
September 9 
Leiden, room 412.
 11:1512:00  Frits Beukers (Utrecht), Introduction to the
ABC conjecture
[PDF]
 12:1512:45  Jaap Top (Groningen), Finding good ABC triples,
part I; notes in Dutch (PDF)
 12:4514:00  Lunch
 14:0014:30  Johan Bosman (Leiden), Finding good ABC
triples, part II;
notes in Dutch (PDF)
 14:4515:30  Hendrik Lenstra (Leiden), Granville's
theorem;
notes in Dutch (PDF)
Abstract.
Barry Mazur defined the `power' of a number to be the logarithm
of the number to the base its radical. For example, every perfect
square has power at least 2. How many integers up to a large
bound have power at least a given number? This question is
answered by Granville's theorem. It is of importance both in
understanding why the ABCconjecture has a chance of being true,
and in analyzing an algorithm for enumerating ABCtriples.
 15:4516:15  Willem Jan Palenstijn (Leiden), Enumerating
ABC triples;
notes in Dutch (PDF)
Abstract.
An ABC triple is a triple of coprime positive integers a,
b, c with a + b = c and c
larger than the radical of abc. In this talk we present an
algorithm that enumerates all ABC triples with c smaller than a
given upper bound N with a runtime essentially linear in
N.
 16:3017:00  Carl Koppeschaar (Kennislink), Reken mee met
ABC
[PPT]



