Partitions with initial repetitions

被引：12

作者：

Andrews, George E. ^{[1
]}

机构：

[1] Penn State Univ, University Pk, PA 16802 USA

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 09期

基金：

美国国家科学基金会;

关键词：

partitions without gaps; initial k-repetitions; Glaisher's theorem; Rogers-Selberg identities; Bailey's modulus 9 identities;

D O I：

10.1007/s10114-009-6292-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variety of interesting connections with modular forms, mock theta functions and Rogers-Ramanujan type identities arise in consideration of partitions in which the smaller integers are repeated as summands more often than the larger summands. In particular, this concept leads to new interpretations of the Rogers-Selberg identities and Bailey's modulus 9 identities.

引用

页码：1437 / 1442

页数：6

共 9 条

[1] On a conjecture of Peter Borwein
Andrews, GE
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1995, 20 (5-6) : 487 - 501
[2] Q-IDENTITIES OF AULUCK CARLITZ AND ROGERS
ANDREWS, GE
[J]. DUKE MATHEMATICAL JOURNAL, 1966, 33 (03) : 575 - &
[3] Andrews GE., 1976, THEORY PARTITIONS EN
[4] ON SOME NEW TYPES OF PARTITIONS ASSOCIATED WITH GENERALIZED FERRERS GRAPHS
AULUCK, FC
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1951, 47 (04): : 679 - 686
[5] Bailey WN, 1947, P LOND MATH SOC, V49, P421
[6] Fine N. J., 1988, Amer. Math. Soc., V27
[7] Gasper G., 2004, ENCY MATH ITS APPL, Vsecond
[8] Ramanujan S., 1927, COLLECTED PAPERS
[9] Slater LJ., 1952, P LOND MATH SOC, V2, P147

← 1 →