GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES FOR ALL MODULI

被引:64
作者
BRESSOUD, DM
机构
[1] Department of Mathematics, The Pennsylvania State University, University Park
关键词
D O I
10.1016/0097-3165(79)90008-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Rogers-Ramanujan identities have been extended to odd moduli by B. Gordon and to moduli of the form 4k + 2 by G. Andrews. We demonstrate and prove an extension to all even moduli, and provide a theorem which holds for all moduli. © 1979.
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收藏
页码:64 / 68
页数:5
相关论文
共 4 条
[1]  
Andrews, Some new partition theorems, J. Combinatorial Theory, 2, pp. 431-436, (1967)
[2]  
Andrews, The theory of partitions, Encyclopedia of Mathematics, 2, (1976)
[3]  
Gordon, A combinatorial generalization of the Rogers-Ramanujan identities, American Journal of Mathematics, 83, pp. 393-399, (1961)
[4]  
Hardy, Wright, An Introduction to the Theory of Numbers, (1960)