• APPLICATION OF RAMANUJAN’S P-Q THETA FUNCTION IDENTITIES OF LEVEL 15 TOCOLOR PARTITION IDENTITIES

H.T. SHWETHA*, N. BHASKAR

Abstract


M.Somos discovered around 6277 theta-function identities of different levels using computer and offered no proof for them and these identities highly resembles Ramanujan’s recordings.

The purpose of this paper is to establish colorpartition identities to three Somostheta function identities of level 15.

Keywords


Theta-functions, Dedekindη - functions, color partitions.

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