PARTITION-IDENTITIES AND A CONTINUED-FRACTION OF RAMANUJAN

被引：12

作者：

ALLADI, K ^{[1
]}

GORDON, B ^{[1
]}

机构：

[1] UNIV CALIF LOS ANGELES, LOS ANGELES, CA 90024 USA

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 1993年 / 63卷 / 02期

关键词：

D O I：

10.1016/0097-3165(93)90061-C

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the numerator and denominator of a continued fraction R(a, b) of Ramanujan and establish the equality of various restricted partition functions. We use the continued fraction to give a unified approach to several partition identities some of which generalize results of Bressoud and Göllnitz. We also give a combinatorial interpretation for the coefficients in the power series expansion of the reciprocal 1 R(-a, -b), extending a result of Odlyzko and Wilf. © 1993 Academic Press, Inc.

引用

页码：275 / 300

页数：26

共 50 条

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BHARGAVA, S
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[6] ON THE ROGERS-RAMANUJAN CONTINUED-FRACTION
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[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1984, 93 (2-3): : 67 - 77
[7] On the equivalence of Ramanujan's partition identities and a connection with the Rogers-Ramanujan continued fraction
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 198 (01) : 111 - 120
[8] VARIATIONS ON THE ROGERS-RAMANUJAN CONTINUED-FRACTION IN RAMANUJAN NOTEBOOKS
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[9] PADE APPROXIMANTS AND EISENSTEIN - RAMANUJAN CONTINUED-FRACTION
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[10] SOME VALUES FOR THE ROGERS-RAMANUJAN CONTINUED-FRACTION
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