New approach for Somos’s Dedekind eta-function identities of level 6

• Anu Radha, D. ^[1] ; Srivatsa Kumar, B. R. ^[1] ; Shruthi ^[1]
  1. [1] Manipal Academy of Higher Education.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 1, 2021, págs. 187-198
• Idioma: inglés
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• Resumen

  • In the present work, we prove few new Dedekind eta-function identities of level 6 discovered by Somos in two different methods. Also during this process, we give an alternate method to Somos’s Dedekind eta-function identities of level 6 proved by B. R. Srivatsa Kumar et al. As an application of this, we establish colored partition identities.