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Linnik's problem for the Möbius function

Posted in
Speaker: 
Joni Teräväinen
Zugehörigkeit: 
University of Cambridge
Datum: 
Don, 24/07/2025 - 11:00 - 11:50
Location: 
MPIM Lecture Hall

We show that the least natural number having an odd number of prime
factors and belonging to any arithmetic progression $a \pmod q$ is
bounded by $q^{2+o(1)}$. This can be seen as a multiplicative analogue of Linnik's
problem on the least prime in an arithmetic progression. This is based on
joint work with Kaisa Matomäki.

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