Abstract
The generating functions introduced in Chap. 20 and defined by Dirichlet series are not the only kind of generating functions. Here we shall briefly get to know another type of generating function with many useful properties that are applicable in numerous fields of mathematics and other sciences. As an illustration of that utility, we shall acquaint ourselves with various partition problems such as the partitions of our main subject: the positive integers. For example, the integer 4 has 5 unrestricted partitions into integers:\( 4 = 3 + 1 = 2 + 2 = 2 + 1 + 1 = 1 + 1 + 1 + 1\)
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© 1984 Springer-Verlag Berlin Heidelberg
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Schroeder, M.R. (1984). Generating Functions and Partitions. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02395-2_21
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DOI: https://doi.org/10.1007/978-3-662-02395-2_21
Publisher Name: Springer, Berlin, Heidelberg
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