Paper Title
Somos's Dedekind N-Function Identities of Level 6 And Its Applications to Colored Partitions

Abstract
M. Somos discovered many Dedekind n-function identities of different levels using computer and o_ered no proof for them. The purpose of this paper is to prove these Dedekind n-function identities of level 6 and to establish certain colored partitions. Keywords- Theta functions, Modular equations, Dedekind eta-function, colored partitions. 2010 Mathematics Subject Classi_cation: 11F20, 33C05, 11P83.