On primes, almost primes and the M¨obius function in short intervals

author: Kaisa Matomäki, University of Turku
published: July 6, 2021,   recorded: July 2021,   views: 1

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In this talk I will introduce some fundamental concepts in analytic number theory such as primes, the Riemann zeta function and the M¨obius function. I will discuss classical results concerning them and connecting them to each other. Then I will move on to discussing the distribution of primes, almost primes and the M¨obius function in short intervals. In particular I will describe some recent progress on the topic.

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