SOME MODULAR EQUATIONS IN THE FORM OF SCHLÄFLI
Keywords:
Schl¨afli-type modular equation, Class invariantAbstract
On page 90 of his first notebook, S. Ramanujan records Schl¨afli-type modular equations for degrees 3, 5, 7, 11, 13, 17 and 19. In this paper, we establish Schl¨afli-type modular equations for degrees 11, 13, 17 and 19 which are recorded by Ramanujan in his first notebook. We also establish several new Schl¨afli-type modular equations of degrees 2, 4, 9, 15, 23, 25, 29, 31, 47 and 71. As an application, we deduce some explicit evaluations of Ramanujan-Weber class invariants.
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Published
2013-05-24
How to Cite
Naika, M. M., & Bairy, K. S. (2013). SOME MODULAR EQUATIONS IN THE FORM OF SCHLÄFLI. Italian Journal of Pure and Applied Mathematics, 30, 233–252. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6082
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Section
Articoli - Forum Editrice
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Copyright (c) 2013 M.S. Mahadeva Naika, K. Sushan Bairy
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
