Almost primes in almost all very short intervals
Kaisa Matomäki (Turku, Finland)
04-Feb-2021, 14:30-16:00 (3 years ago)
Abstract: By probabilistic models one expects that, as soon as $h \to \infty$ with $X \to \infty$, short intervals of the type $(x- h \log X, x]$ contain primes for almost all $x \in (X/2, X]$. However, this is far from being established. In the talk I discuss related questions and in particular describe how to prove the above claim when one is satisfied with finding $P_2$-numbers (numbers that have at most two prime factors) instead of primes.
number theory
Audience: researchers in the topic
CRM-CICMA Québec Vermont Seminar Series
Series comments: En ligne/Web - Pour information, veuillez communiquer à / For details, please contact: activités@crm.umontreal.ca
Organizers: | Centre de recherches mathématiques, Flore Lubin*, Henri Darmon, Chantal David |
*contact for this listing |
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