Abstract
During my long life I often used probability methods in number theory, combinatorics and analysis. In fact as I joke I sometime said that I work in applied probability, i.e., I apply probability to different branches of mathematics. In the present paper I will only discuss applications to additive number theory and say also a few words about applications to additive number theoretic functions.
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References
H. Halberstam and K.F. Roth, Sequences. Springer Verlag, 1983. This book has extensive references to the papers quoted in the text.
H. Cramer, “On the order of magnitude of the difference between consecutive prime num-bers”, Acta Arithmetica 2 (1936), pp. 23–46.
P. Erdös and A. Skáközy, “Problems and results on additive properties of general se-quences”, Pacific J. of Math. 118 (1985), pp. 347–397.
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© 1990 Springer-Verlag New York Inc.
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Erdös, P. (1990). Some Applications of Probability Methods to Number Theory. Successes and Limitations. In: Capocelli, R.M. (eds) Sequences. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3352-7_14
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DOI: https://doi.org/10.1007/978-1-4612-3352-7_14
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