- May 13, 2011, Friday - 15h00 (Room P
3.10):
Konstantin Dyakonov
(ICREA e Universitat de Barcelona)
" Zeros of
analytic functions, with or without multiplicities "
Abstract. The
so-called abc theorem for polynomials, also known as Mason's or
Mason-Stothers' theorem, deals with nontrivial polynomial solutions to
the Diophantine equation a+b=c. It provides a lower bound on the number
of distinct zeros of the polynomial abc in terms of the degrees of a, b
and c. We prove some "local" abc type theorems for general analytic
functions living on a (reasonably nice) bounded domain rather than on
the whole plane. The estimates obtained are sharp, for any domain, and
they imply a generalization of the original "global" abc theorem by a
limiting argument.
Past Seminars
2010/11
2009/10
2008/09
2007/08
2006/07
2005/06
2004/05
2003/04
2002/03
2001/02
2000/01
1999/2000
1998/99
1997/98
1996/97
1995/96
Seminars take place in
Lisbon, I.S.T. -
Post Graduation Building
