A Note on Andrews' Partitions with Parts Separated by Parity

被引：7

作者：

Bringmann, Kathrin ^{[1
]}

Jennings-Shaffer, Chris ^{[1
]}

机构：

[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

基金：

欧洲研究理事会;

关键词：

Number theory; Partitions; Parity; Modular forms; Mock theta functions;

D O I：

10.1007/s00026-019-00440-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we give three identities for partitions with parts separated by parity, which were recently introduced by Andrews.

引用

页码：573 / 578

页数：6

共 7 条

[1]

Andrews G. E., 1986, CBMS REGIONAL C SERI, V66, pxii+130

[2] FAMILY OF COMBINATORIAL IDENTITIES [J].

ANDREWS, GE ;

SUBBARAO, MV ;

VIDYASAG.M .

CANADIAN MATHEMATICAL BULLETIN, 1972, 15 (01) :11-&

[3] Partitions with Parts Separated by Parity [J].

Andrews, George E. .

[4]

Gasper G., 1990, Basic Hypergeometric Series

[5]

Lovejoy J, 2002, MATH RES LETT, V9, P191

Lovejoy, Jeremy .

[7]

Slater L.J., 1951, Proc. Lond. Math. Soc., V53, P460