[PDF.25cn] Number Theoretic Density and Logical Limit Laws (Mathematical Surveys and Monographs)

Number Theoretic Density and Logical Limit Laws (Mathematical Surveys and Monographs)

[PDF.wc53] Number Theoretic Density and Logical Limit Laws (Mathematical Surveys and Monographs)

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 | #2445425 in Books |  American Mathematical Society |  2000-12-05 | Ingredients: Example Ingredients | Original language:English | PDF # 1 |  10.50 x7.25 x1.00l,1.70 | File type: PDF | 289 pages

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This book shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general and powerful results on limit laws, including $0 - 1$ laws. The book is unique in its approach to giving a combined treatment of topics from additive as well as from multiplicative number theory, in the setting of abstract number systems, emphasizing the ...

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