Extending Erdős-Kac and Selberg-Sathe to Beurling primes with controlled integer counting functions
In this thesis we extend two important theorems in analytic prime number theory to a the setting of Beurling primes, namely The Erdős–Kac theorem and a theorem of Sathe and Selberg. The Erdős–Kac theorem asserts that the number of prime factors that divide an integer n is, in some sense, normally di...
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| Language: | English |
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University of British Columbia
2013
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| Online Access: | http://hdl.handle.net/2429/44300 |