Identities and Congruences of the Ramanujan Type

Identities and Congruences of the Ramanujan Type
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DOI:
10.4153/cjm-1950-016-0
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发表时间:
1950
期刊:
Canadian Journal of Mathematics
影响因子:
--
通讯作者:
K. G. Ramanathan
K. G. Ramanathan
中科院分区:
其他
文献类型:
--
作者:
K. G. Ramanathan

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设P(n)表示正整数n的无限制分拆的个数。拉马努金解释说,(1.1)如果。他还指出,这样的同余式可以从类型的恒等式推导出来,
Let P(n) denote the number of unrestricted partitions of the positive integer n. Ramanujan conjectured that (1.1) if . He also indicated that such congruences could be deduced from identities of the type