http://www.fields.utoronto.ca/programs/scientific/07-08/analytic/
The following documents
are up-dated versions of those which have been distributed at the lectures:
More material is available
from the web page of the author at the address
http://people.math.jussieu.fr/~miw/index2.html
The following documents have
been distributed at the lectures.
·
The
analytic theory of Dirichlet L-functions (lecture 1)
·
Zero-free
regions of Dirichlet L-functions (lecture 2)
·
Primes
in arithmetic progressions (lecture 3)
·
Mean
values of L-functions (lecture 4)
·
The
Distribution of Zeros of zeta(s) (lecture 5)
Up-dated pdf files will be
available from the web page of Nathan Ng later in August at the following
address
http://www.cs.uleth.ca/~nathanng/
The following documents
are up-dated versions of those which have been distributed at the lectures (with
slight changes):
Notes have
been presented on the blackboard together with additional references for the
interested students.
The
following document has been distributed at the beginning of the week:
Complementary
references kindly made accessible by their authors:
·
Heights of algebraic numbers (Chapter 3 of the book Diophantine
approximation on linear algebraic groups by Michel Waldschmidt,
Grundlehren 326, Springer, 2000).
·
Absolute values and Heights of algebraic numbers
(Chapter 3 of the PhD thesis of Martín Avendaño)
The
following document has been distributed at the beginning of the week: