Colloquium – Kaisa Matomäki

10 Feb 2021, by ablahatherell in Events

Tuesday 4 May 2021, 4:00 – 5:00pm

We’re very excited to welcome Kaisa Matomäki (University of Turku, Finland), as a Heilbronn Virtual Visiting Professor. For further information and to register for the colloquium, please visit the event website.

Title: On primes and other interesting sequences in short intervals

Abstract: By the prime number theorem, the number of primes up to $x$ is known to be asymptotically $x/\log x$. This suggests that whenever $H \leq x$ is reasonably large, the interval $[x, x+H]$ contains about $H/\log x$ primes. I will discuss what is known and what is not known about primes and almost primes (i.e. numbers with only few prime factors) in short intervals.
I will also talk about the Riemann zeta function and the Liouville function (defined, for an integer $n$, to be $+1$ or $-1$ depending on whether $n$ has an even or odd number of prime factors), both of which are closely connected to the prime numbers.


Registration is now open, please click here to register.

For more information, please contact heilbronn-coordinator@bristol.ac.uk.

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