# The London-Paris Number Theory Seminar

The London-Paris Number Theory Seminar meets twice per year, once in London and
once in Paris. It is supported by a grant from the London Mathematical Society.

London organizers:
David Burns,
Fred Diamond,
Alexei Skorobogatov,
Andrei Yafaev,
Kevin Buzzard.

Paris organizers: Michael Harris,
Guy Henniart,
Marc Hindry,
Ariane Mezard,
Jacques Tilouine.

## Twelfth meeting, London, 30/05/2012

The 12th meeting will take place at University College London on May 30th,
in Lecture Theatre 500 (5th floor, UCL, UCLU-Maths building, 25 Gordon Street).
The theme is "Probabilistic Number Theory".
The schedule is

1100--1200 Joel Rivat (Luminy): "On the digits of primes and polynomial sequences."

1200--1400 Lunch

1400--1500 Gerald Tenenbaum (Nancy): "On the distribution of divisors, a survey."

1500--1530 Coffee/Tea

1530--1630 Adam Harper (Cambridge): "Lower bounds for the sum of a random multiplicative function."

Abstracts:

Adam Harper: TITLE: Lower bounds for the sum of a random multiplicative function

ABSTRACT: A random multiplicative function is a probabilistic model for the
Mobius function or for real Dirichlet characters. Because of the
dependencies between its values, it is surprisingly difficult to give almost
sure lower bounds for the size of the sum of a random multiplicative
function. I will explain how this is connected to understanding random
Dirichlet series, and how random Dirichlet series can be understood by
developing sufficiently quantitative Gaussian process theory.

Joel Rivat:

Title: "On the digits of primes and polynomial sequences".

Abstract: "In 1968, A.O. Gelfond conjectured that the sum of the
digits of the primes is equidistributed in residue classes. He
also conjectured the same result for the sum of the digits of
appropriate polynomial sequences.
We will discuss the proof of these conjectures and
some extensions and generalizations in recent joint works with
Michael Drmota and Christian Mauduit."

First meeting (Paris, 13/11/2006)

Second meeting (London, 02/05/2007)

Third meeting (Paris, 12/11/2007)

Fourth meeting (London, 07/05-08/05/2008)

Fifth meeting (Paris, 17/11/2008)

Sixth meeting (London, 03/06-04/06/2009)

Seventh meeting (Paris, 16/11/2009)

Eighth meeting (London, 02/06/2010)

Ninth meeting (Paris, 08/11/2010)

Tenth meeting (London, 01/06/2011)

Eleventh meeting (Paris, 21/11/2011)

This page is maintained by Kevin Buzzard.
This document was last modified on 19th April 2012.