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math.NT2016
New representations for via reciprocity theorems
Koustav Banerjee, Atul Dixit
Two new representations for Ramanujan's function are obtained. The proof of the first one uses the three-variable reciprocity theorem due to Soon-Yi Kang and a transformatio…
math.NT2016
Some results on the cubic partition
Prabir Das Adhikary, Koustav Banerjee, Manosij Ghosh Dastidar
In this paper we explore Kruyswijk's method and show how to obtain congruences for cubic partition. That apart we also examine inequalities for a(n) and provide upper bound for it…