Geodesic
On Certain Identities for Ratios of Theta-Functions and Some New Modular Equations of Mixed Degree
Matematičeskie zametki, Tome 95 (2014) no. 5, pp. 685-696

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In this paper, we derive certain identities for ratios of theta-functions. As applications of the identities, we establish certain new modular equations of mixed degree in the theory of signature 3, which are analogous to Ramanujan–Weber type modular equations and Ramanujan–Schläfli type mixed modular equations.
Keywords: Ramanujan theta-function, modular equation. 
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     author = {K. R. Vasuki and C. Chamaraju},
     title = {On {Certain} {Identities} for {Ratios} of {Theta-Functions} and {Some} {New} {Modular} {Equations} of {Mixed} {Degree}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {685--696},
     publisher = {mathdoc},
     volume = {95},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_5_a4/}
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K. R. Vasuki; C. Chamaraju. On Certain Identities for Ratios of Theta-Functions and Some New Modular Equations of Mixed Degree. Matematičeskie zametki, Tome 95 (2014) no. 5, pp. 685-696. http://geodesic.mathdoc.fr/item/MZM_2014_95_5_a4/