Multiplicative functions (and pretentions)
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If you have a question about this talk, please contact Helen Innes.
How many prime factors does a typical integer have?
How many distinct numbers are there in the nbyn times tables?
How many primes are there in a given arithmetic progression?
Can one analytically continue Lfunctions defined by counting the
number of solutions to equations mod p?
All of these questions, naturally arising in number theory, lead to
the subject of the distribution of multiplicative functions.
In this lecture we will review some of the key results in this area,
reinterpreting them in terms of the notion of “pretentiousness”, as
developed by Soundararajan and the speaker.
This talk is part of the Kuwait Foundation Lectures series.
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