Somos`s theta-function identities of level 10

Authors : Belakavadi Radhakrishna Srivatsa KUMAR, Devadas Anu RADHA

Pages : 763-773

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Somos discovered about 6277 theta-function identities of different levels using a computer and offered no proof for them, and these identities closely resemble Ramanujan`s recordings. The purpose of this paper is to prove some of his theta-function identities of level 10 and to establish certain partition identities for them.
Keywords : Theta functions, modular equations, Dedekind eta function, colored partitions