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.
Theta-functions, modular equations, Dedekind $\eta$-function, colored partitions
KUMAR, BELAKAVADI RADHAKRISHNA SRIVATSA and RADHA, DEVADAS ANU
"Somos's theta-function identities of level 10,"
Turkish Journal of Mathematics: Vol. 42:
3, Article 3.
Available at: https://journals.tubitak.gov.tr/math/vol42/iss3/3