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Probabilistic Methods in the Theory of Numbers
About this Title
J. Kubilius. Translated by G. Burgie and S. Schuur
Publication: Translations of Mathematical Monographs
Publication Year:
1964; Volume 11
ISBNs: 978-0-8218-1561-8 (print); 978-1-4704-4431-0 (online)
DOI: https://doi.org/10.1090/mmono/011
MathSciNet review: MR0160745
MSC: Primary 10.00; Secondary 10.50
Table of Contents
Front/Back Matter
Chapters
- Basic Arithmetic Lemmas
- Additive number-theoretic functions and random variables
- The law of large numbers
- One-dimensional integral and local asymptotic distribution laws
- Asymptotic laws for sums of additive functions
- An estimate of the remainder term of integral asymptotic laws
- Distribution of sequences of truncated functions
- Many-dimensional asymptotic laws
- The method of Dirichlet generating series
- Additive number-theoretic functions in the Gaussian number field