Durfee Rectangles and the Jacobi Triple Product Identity

被引：0

作者：

初文昌 ^{[1
]}

机构：

[1] Institute of Systems Science,Academia Sinica,Beijing 100080,PRC

来源：

Acta Mathematica Sinica,English Series | 1993年 / 01期

关键词：

Durfee Rectangles and the Jacobi Triple Product Identity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By means of the Durfee rectangles of partitions,a very elementary proof for Jacobi’striple product identity and its finite analogue is presented.

引用

页码：24 / 26

页数：3

共 50 条

[31] A COMBINATORIAL PROOF OF THE TRIPLE PRODUCT IDENTITY
LEWIS, RP
AMERICAN MATHEMATICAL MONTHLY, 1984, 91 (07): : 420 - 423
[32] ON VECTOR TRIPLE CROSS PRODUCT IDENTITY
DWYER, DT
AMERICAN MATHEMATICAL MONTHLY, 1961, 68 (09): : 910 - &
[33] A generalization of the Jacobi's triple product formula and some applications
Brugidou, Vincent
COMPTES RENDUS MATHEMATIQUE, 2011, 349 (7-8) : 361 - 364
[34] THE ROGERS-RAMANUJAN IDENTITIES WITHOUT JACOBI TRIPLE PRODUCT
ANDREWS, GE
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1987, 17 (04) : 659 - 672
[35] A SIMPLE PROOF OF JACOBIS TRIPLE PRODUCT IDENTITY
ANDREWS, GE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (02) : 333 - &
[36] AN EASY PROOF OF THE TRIPLE-PRODUCT IDENTITY
EWELL, JA
AMERICAN MATHEMATICAL MONTHLY, 1981, 88 (04): : 270 - 272
[37] A TRIPLE PRODUCT IDENTITY FOR SCHUR-FUNCTIONS
MILNE, SC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 160 (02) : 446 - 458
[38] Tiling proofs of Jacobi triple product and Rogers-Ramanujan identities
Shukla, Alok
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2023, 38 (02)
[39] A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi's Triple-Product Identity
Srivastava, Hari Mohan
Srivastava, Rekha
Chaudhary, Mahendra Pal
Uddin, Salah
MATHEMATICS, 2020, 8 (06)
[40] Triple product identity, quintuple product identity and Ramanujan's differential equations for the classical Eisenstein series
Chan, Heng Huat
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (07) : 1987 - 1992

← 1 2 3 4 5 →