•  
  •  
 

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

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 11
  • Usage
    • Downloads: 70
    • Abstract Views: 40
  • Captures
    • Readers: 3
see details

Included in

Mathematics Commons

Share

COinS