NDLI: Diophantine Equations in Partitions

Content Provider	Scilit
Author	Gupta, Hansraj
Copyright Year	1984
Description	Given positive integers ${r_1},{r_2},{r_3}, \ldots ,{r_j}$ such that \[ {r_1} < {r_2} < {r_3} < \cdots < {r_j} < m;\quad m > 1;\] we find the number $P(n,m;R)$ of partitions of a given positive integer n into parts belonging to the set R of residue classes \[ {r_1}\pmod m,\quad {r_2}\pmod m, \ldots ,{r_j}\pmod m.\] This leads to an identity which is more general though less elegant then the well-known Rogers-Ramanujan identities.
Related Links	https://www.ams.org/mcom/1984-42-165/S0025-5718-1984-0725998-2/S0025-5718-1984-0725998-2.pdf
Ending Page	229
Page Count	5
Starting Page	225
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2007573
Journal	Mathematics of Computation
Issue Number	165
Volume Number	42
Language	English
Publisher	Duke University Press
Publisher Date	1984-01-01
Access Restriction	Open
Subject Keyword	Logic Diophantine Equation
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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Diophantine Equations in Partitions