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A school and conference on analytic number theory was organized at ICTP Trieste by J-M. Deshouillers, R.
Balasubramanian and E. Kowalski from April 23 to May 11, 2007.
This web page will be used to make accessible information related to the scientific programme, while the proceedings are being prepared. Moreover, some of this information will not appear in the proceedings (corresponding to already published texts, etc). Here is the final programme, and here is a bibliography for analytic number theory prepared during the school; it lists not only books concerning various aspects of analytic number theory, but also some references for topics which are of interest, either as tools, as sources of problems, or for other reasons. The web page will also provide links to various pictures taken during the activity... |
| J-M.
Deshouillers |
Introduction
to probabilistic methods (forthcoming) |
| R.
Balasubramanian |
Additive
number theory (forthcoming) |
| K.
Srinivas |
Basic
theory of the Riemann zeta and Dirichlet L-functions (forthcoming) |
| P.
Michel |
Modular
forms and automorphic L-functions (forthcoming) |
| B.
Green |
Additive
combinatorics (relevant surveys by B. Green and T.
Tao) |
| K.
Belabas |
Algorithmic
aspects of analytic number theory (forthcoming) |
| T.
Browning |
The
Manin conjecture in dimension 2 (forthcoming) |
| J.
Friedlander |
Introduction
to sieve methods (see the Cetraro
lectures) |
| H.
Iwaniec |
Analytic
number theory without borders
(forthcoming) |
| E.
Kowalski |
Exponential
sums over finite fields (first draft) |
| B.
Green |
Additive
combinatorics |
| H.
Iwaniec |
Counting
rational points on some cubic surfaces |
| Z.
Rudnick |
Arithmetic
problems arising in quantum chaos |
| E.
Friedman |
Finite
products of regularized products |
| R.
Holowinsky |
Sieve
method for shifted convolution sums of Hecke eigenvalues |
|
G. Ricotta
|
Statistics
for low-lying zeros of symmetric power L-functions in the level aspect |
| J.
Marklof |
The
distribution of visible lattice points |
| B.
Conrey |
Recent
progress and conjectures in moments of L-functions |
| H-L.
Montgomery |
The
combinatorics of moment calculations |
| J.
Friedlander |
Distribution
of small values of Euler's function |
| A.
Perelli |
L-functions:
an axiomatic approach |
| U.
Zannier |
On
the gcd of u-1 and v-1 for S-units u,v and applications |
| E.
Royer |
Square-tiled
surfaces and quasimodular forms |
| R.
de la Bretèche |
The
distribution of integers with a fixed number of divisors in a given
interval |
| J.
Liu |
Distribution
of primes on orbits |
| G.
Tenenbaum |
Recent
progress on friable means of arithmetic functions |
| V.
Blomer |
Spectral
decomposition of shifted convolution sums |
| H.
Helfgott |
p3+2 is squarefree
infinitely often |
| T.
Browning |
Integral
and rational points on cubic hypersurfaces |
| A.
Sarkozy |
Equations
in finite fields with restricted solution sets |
| R.
Balasubramanian |
Sumfree
sets |
| E.
Kowalski |
The principle of the large sieve (see arXiv:math.NT/061002) |