June 30-July 11, 2008
Summer School in Analytic Number Theory and Diophantine Approximation
University of Ottawa, Ontario Canada

Main page by the Fields Institute:

http://www.fields.utoronto.ca/programs/scientific/07-08/analytic/

Pictures taken at the summer school

· Outside picture of the whole group #1

· Outside picture of the whole group #2

· Picture of the lecture room

· F. Amoroso lecturing

· K. Soundararajan lecturing

Scientific documents:

Lectures by Michel Waldschmidt: (first week)

The following documents are up-dated versions of those which have been distributed at the lectures:

• Irrationality of some constants coming from analysis (lectures 1 and 2) - slight changes
• Historical introduction to transcendence ( lecture 3) - slight changes
• Auxiliary functions in transcendence proofs (lecture 4 and 5)

More material is available from the web page of the author at the address

http://people.math.jussieu.fr/~miw/index2.html

Lectures by Nathan Ng: (first week)

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/

Lectures by Damien Roy: (first week)

The following documents are up-dated versions of those which have been distributed at the lectures (with slight changes):

• Zero Estimates (lectures 1 and 2)
• Philippon's Criterion for Algebraic Independence (lectures 3 and 4)
• Gel’fond’s problem (lecture 5)

Lectures by Kannan Soundararajan: (second week)

Notes have been presented on the blackboard together with additional references for the interested students.

Lectures by Francesco Amoroso: (second week)

The following document has been distributed at the beginning of the week:

• Small points on varieties of algebraic tori (lectures 1 to 5)

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)

Lectures by Andrew Granville: (second week)

The following document has been distributed at the beginning of the week:

• Sums of multiplicative functions