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 14 条

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ANDREWS, GE
[J]. ADVANCES IN MATHEMATICS, 1981, 41 (02) : 186 - 208
[5] ANDREWS GE, 1976, ENCY MATH, V0002
[6] ANDREWS GE, 1992, MEMOIRS AM MATH SOC, V417
[7] BRESSOUD DM, 1979, J REINE ANGEW MATH, V305, P215
[8] GOLLNITZ H, 1967, J REINE ANGEW MATH, V225, P154
[9] SOME CONTINUED FRACTIONS OF ROGERS-RAMANUJAN TYPE
GORDON, B
[J]. DUKE MATHEMATICAL JOURNAL, 1965, 32 (04) : 741 - &
[10] N-COINS IN A FOUNTAIN
ODLYZKO, AM
WILF, HS
[J]. AMERICAN MATHEMATICAL MONTHLY, 1988, 95 (09) : 840 - 843

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