Tham khảo Phân hoạch (lý thuyết số)

George E. Andrews, The Theory of Partitions (1976), Cambridge University Press. ISBN 0-521-63766-X .
Apostol, Tom M. (1990) [1976]. Modular functions and Dirichlet series in number theory. Graduate Texts in Mathematics 41 (ấn bản 2). New York etc.: Springer-Verlag. ISBN 0-387-97127-0. Zbl 0697.10023. (See chapter 5 for a modern pedagogical intro to Rademacher's formula).
Bản mẫu:Hardy and Wright
Lehmer, D. H. (1939). “On the remainder and convergence of the series for the partition function”. Trans. Amer. Math. Soc. 46: 362–373. MR 0000410. Zbl 0022.20401. doi:10.1090/S0002-9947-1939-0000410-9. Provides the main formula (no derivatives), remainder, and older form for Ak(n).)
Gupta, Gwyther, Miller, Roy. Soc. Math. Tables, vol 4, Tables of partitions, (1962) (Has text, nearly complete bibliography, but they (and Abramowitz) missed the Selberg formula for Ak(n), which is in Whiteman.)
Macdonald, Ian G. (1979). Symmetric functions and Hall polynomials. Oxford Mathematical Monographs. Oxford University Press. ISBN 0-19-853530-9. Zbl 0487.20007. (See section I.1)
Nathanson, M.B. (2000). Elementary Methods in Number Theory. Graduate Texts in Mathematics 195. Springer-Verlag. ISBN 0-387-98912-9. Zbl 0953.11002.
Ken Ono, Distribution of the partition function modulo m, Annals of Mathematics 151 (2000) pp 293–307. (This paper proves congruences modulo every prime greater than 3)
Sautoy, Marcus Du. The Music of the Primes. New York: Perennial-HarperCollins, 2003.
Richard P. Stanley, Enumerative Combinatorics, Volumes 1 and 2. Cambridge University Press, 1999 ISBN 0-521-56069-1
Whiteman, A. L. (1956). A sum connected with the series for the partition function. Pacific Journal of Math. 6 (1). tr. 159–176. Zbl 0071.04004. (Provides the Selberg formula. The older form is the finite Fourier expansion of Selberg.)
Hans Rademacher, Collected Papers of Hans Rademacher, (1974) MIT Press; v II, p 100–107, 108–122, 460–475.
Miklós Bóna (2002). A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory. World Scientific Publishing. ISBN 981-02-4900-4. (qn elementary introduction to the topic of integer partition, including a discussion of Ferrers graphs)
George E. Andrews, Kimmo Eriksson (2004). Integer Partitions. Cambridge University Press. ISBN 0-521-60090-1.
'A Disappearing Number', devised piece by Complicite, mention Ramanujan's work on the Partition Function, 2007

Tài liệu tham khảo

WikiPedia: Phân hoạch (lý thuyết số) http://www.site.uottawa.ca/~ivan/F49-int-part.pdf http://www.numericana.com/answer/numbers.htm#parti... http://www.numericana.com/data/partition.htm http://mathworld.wolfram.com/Partition.html http://mathworld.wolfram.com/PartitionFunctionP.ht... http://www.luschny.de/math/seq/CountingWithPartiti... http://www-math.mit.edu/~rstan/ec/ http://www.math.upenn.edu/~wilf/PIMS/PIMSLectures.... http://www.se16.info/js/partitions.htm http://www.aimath.org/news/partition/brunier-ono.p...