PARTITION-IDENTITIES AND A CONTINUED-FRACTION OF RAMANUJAN

被引：13

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

[1]

ADIGA C, 1985, MEMOIRS AM MATH SOC, V315

[2]

ANDREWS GE, 1966, MICH MATH J, V13, P491

[3] INTRODUCTION TO RAMANUJANS LOST NOTEBOOK [J].