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
收藏
页码：633 / 660
页数：27
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