Universal formulas for the number of partitions

Author:

Srdanov AleksaORCID

Funder

Komercijalna Banka ad Beograd

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference8 articles.

1. Andrews G E, The Theory of Partitions, Encyclopedia of Mathematics and its Applications (1976) vol. 2, Addison Wesley, Reading (Reissued: Cambridge University Press, Cambridge, 1985 and 1998)

2. Bringmann K and Ono K, An arithmetic formula for the partition function, Proc. Am. Math. Soc. 135 (2007) 3507–3514

3. Ekhad S B, Explicit expressions for the number of partitions with at most $$m$$ m parts for $$m$$ m between 1 and 60. http://sites.math.rutgers.edu/~zeilberg/tokhniot/oPARTITIONS1

4. Euler L, Evolutio producti infiniti $$(1 - x)(1 - xx)(1 - x^{3})(1 -x^{4})(1 - x^{5})(1 - x^{6})$$ ( 1 - x ) ( 1 - x x ) ( 1 - x 3 ) ( 1 - x 4 ) ( 1 - x 5 ) ( 1 - x 6 ) etc., Opera Omnia, (1) 3, (began in 1911) pp. 472–479

5. Glaisher J W L, On the number of partitions of a number into a given number of parts, Quart. J. Pure Appl. Math. 40 (1909) 57–143

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