Color Partition Identities Arising from Ramanujan’s Theta-Functions

被引：10

作者：

Mahadeva Naika M.S. ^{[1
]}

Hemanthkumar B. ^{[1
]}

Sumanth Bharadwaj H.S. ^{[1
]}

机构：

[1] Department of Mathematics, Bangalore University, Central College Campus, Bengaluru, 560 001, Karnataka

来源：

Acta Mathematica Vietnamica | 2016年 / 41卷 / 4期

关键词：

Color partition identities; Modular equations; Partition congruences; Theta–functions;

D O I：

10.1007/s40306-016-0170-3

中图分类号：

学科分类号：

摘要：

We establish several partition identities with distinct colors that arise from Ramanujan’s theta-function identities and formulas for multipliers in the theory of modular equations. Also, we deduce few partition congruences as a corollary of some partition identities. © 2016, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.

引用

页码：633 / 660

页数：27

共 21 条

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