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Tag Archives: Katai
A viewpoint on Katai’s orthogonality criterion
The Liouville function, defined as the completely multiplicative function which sends every prime to , encodes several important properties of the primes. For instance, the statement that is equivalent to the prime number theorem, while the improved (and essentially best … Continue reading
Posted in Classic results, Number Theory, Tool
Tagged Katai, Liouville function, primes, Sarnak, van der Corput
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