The Ramanujan Journal

, Volume 42, Issue 1, pp 131–144 | Cite as

On Somos’s theta-function identities of level 14



M. Somos discovered around 6200 theta-function identities of different levels using the computer and offered no proof for them. The purpose of this paper is to prove twenty four of his identities of level 14.


Theta functions Modular equations Dedekind eta-function 

Mathematics Subject Classification

11F20 33C05 



The authors would like to thank the anonymous referee for his/her many invaluable suggestions.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Department of Studies in MathematicsUniversity of MysoreMysoreIndia
  2. 2.Department of MathematicsSri Jayachamarajendra College of EngineeringMysoreIndia

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