Extension of Abel's lemma with q-series implications

被引:9
作者
Andrews, GE [1 ]
Freitas, P
机构
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
关键词
Abel's Lemma; Ramanujan; q-series; partitions;
D O I
10.1007/s11139-005-4844-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In previous work arising from the study of Ramanujan's Lost Notebook, a new Abel type lemma was proved. In this paper, we discuss extensions of this lemma and use it to prove many q-series identities.
引用
收藏
页码:137 / 152
页数:16
相关论文
共 10 条
[1]  
Andrews G., 1999, ANN COMB, V3, P115
[2]  
Andrews GE, 2001, NATO SCI SER II MATH, V30, P1
[3]   q-series arising from the study of random graphs [J].
Andrews, GE ;
Crippa, D ;
Simon, K .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 1997, 10 (01) :41-56
[4]   RAMANUJAN LOST NOTEBOOK-V - EULER PARTITION IDENTITY [J].
ANDREWS, GE .
ADVANCES IN MATHEMATICS, 1986, 61 (02) :156-164
[5]   q-series identities and values of certain L-functions [J].
Andrews, GE ;
Jiménez-Urroz, J ;
Ono, K .
DUKE MATHEMATICAL JOURNAL, 2001, 108 (03) :395-419
[6]  
COOGAN G, IN PRESS P AM MATH S
[7]  
Fine N. J., 1988, MATH SURVEYS MONOGR, V27
[8]  
LOVEJOY J, IN PRESS P NAT ACAD
[9]  
RAMANUJAN S, 1988, UNPUB LOST NOTEBOOK
[10]  
[No title captured]