Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1703-51
Keywords
Theta-functions, modular equations, Dedekind $\eta$-function, colored partitions
First Page
763
Last Page
773
Recommended Citation
KUMAR, B. R, & RADHA, D. A (2018). Somos's theta-function identities of level 10. Turkish Journal of Mathematics 42 (3): 763-773. https://doi.org/10.3906/mat-1703-51
