A Note on Somos’s Identities of Level 6

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Michael Somos conjectured thousands of theta-functions of various levels with the help of computer and not provided the proof. These theta-functions highly matches Ramanujan’s recordings. The objective of our work in this paper is to prove two theta-functions of level 6 conjectured by Somos and to give an alternate proof of the identities proved by B. R. Srivatsa Kumar and G. Sharath. Further, as an application of this, we offer colored partition identities for the same.

Original languageEnglish
Article numberIJAM_52_2_15
JournalIAENG International Journal of Applied Mathematics
Issue number2
Publication statusPublished - 2022

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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