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 50 条

[1] Analogues of Ramanujan’s partition identities and congruences arising from his theta functions and modular equations
Nayandeep Deka Baruah
Kanan Kumari Ojah
The Ramanujan Journal, 2012, 28 : 385 - 407
[2] Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
Baruah, Nayandeep Deka
Ojah, Kanan Kumari
RAMANUJAN JOURNAL, 2012, 28 (03): : 385 - 407
[3] Ramanujan's remarkable product of theta-functions
Berndt, BC
Chan, HH
Zhang, LC
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1997, 40 : 583 - 612
[4] ON A RESULT OF RAMANUJAN ON THETA-FUNCTIONS
RANGACHARI, SS
JOURNAL OF NUMBER THEORY, 1994, 48 (03) : 364 - 372
[5] A Product of Theta-Functions Analogous to Ramanujan's Remarkable Product of Theta-Functions and Applications
Saikia, Nipen
JOURNAL OF MATHEMATICS, 2013, 2013
[6] Partition identities arising from Ramanujan’s formulas for multipliers
Nayandeep Deka Baruah
Bidyut Boruah
The Ramanujan Journal, 2017, 42 : 241 - 265
[7] Partition identities arising from Ramanujan's formulas for multipliers
Baruah, Nayandeep Deka
Boruah, Bidyut
RAMANUJAN JOURNAL, 2017, 42 (01): : 241 - 265
[8] PARTITION IDENTITIES FOR RAMANUJAN'S THIRD-ORDER MOCK THETA FUNCTIONS
Chen, William Y. C.
Ji, Kathy Q.
Liu, Eric H.
QUARTERLY JOURNAL OF MATHEMATICS, 2012, 63 (02): : 353 - 365
[9] ON CERTAIN RAMANUJAN MOCK THETA-FUNCTIONS
GUPTA, A
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1993, 103 (03): : 257 - 267
[10] Partition identities arising from Somos’s theta function identities
Kumar B.R.S.
Veeresha R.G.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2017, 63 (2) : 303 - 313

← 1 2 3 4 5 →