|
1. The theory of algebraic exponential
sums for the working analytic number theorist. Reading Reference Chapter
11 of [KI], Chapter 2 of [GKM]
;
2.
Basic analytic theory of Automorphic
L-functions, Chapter 5 of
[KI][PCMI]
Lecture 1 ;
3.
Non-vanishing of central values of L-functions:
the mollification method Chap 26 of [KI]
;
4.
The subconvexity problem: the amplification
method. [PCMI]
Lecture 4 . |
|
References:
[KI]
E. Kowalski, H. Iwaniec,
Analytic Number Theory (this is the ultimate reference concerning
classical and modern topics in analytic number theory)
[GKM]
N. M. Katz, Gauss sums, Kloosterman
sums and Monodromy groups.
[PCMI]
P. Michel, Park City Lectures; the
main interest (if any) is that the text is it freely available for
download from
http://www.math.univ-montp2.fr/~michel/fichierdvi/Parkcitylectures.pdf |