On primes, almost primes, and the Möbius function in short intervals
Kaisa Matomäki
University of Turku, Finland
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Abstract
In this article, aimed at a general mathematical audience, we have three goals. First, we give a brief account of the classical theory connecting primes, the Riemann zeta function, and the Möbius function. Second, we discuss the state-of-art results concerning primes, almost primes, and the Möbius function in short intervals. Third, we outline the most fundamental concepts underlying the proofs of such results.