Probabilistic number theory 2 Central limit theorems / P. D. T. A. Elliott.

• Unbounded renormalisation: preliminary results -- The Erdös-Kac theorem. Kubilius models -- The weak law of large numbers. I -- The weak law of large numbers. II -- A problem of Hardy and Ramanujan -- General laws for additive functions. I: Including the stable laws -- The limit laws and the renormalising functions -- General laws for additive functions. II: Logarithmic renormalisation -- Quantitative mean-value theorems -- Rate of convergence to the normal law -- Local theorems for additive functions -- The distribution of the quadratic class number -- Problems. 

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