Somos's theta-function identities of level 10

Authors : Belakavadi Radhakrishna Srivatsa Kumar, Devadas Anu Radha

Pages : 763-773

View : 9 | Download : 6

Publication Date : 9999-12-31

Article Type : Makaleler

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