Somos's theta-function identities of level 10
Authors : Belakavadi Radhakrishna Srivatsa Kumar, Devadas Anu Radha
Pages : 763-773
View : 6 | Download : 5
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