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On certain Ramanujan's modular equations of degree 7
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In this paper, we give alternative proofs of Ramanujan's modular equations of degree 7, by employing certain theta-function identities.
Abstract
In this paper, we give alternative proofs of Ramanujan's modular equations of degree 7, by employing certain theta-function identities.
참고문헌 (13)
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- L.-C. Shen, "On Some Modular Equations of Degree 5", Proc. Amer. Math. Soc, 123, pp.1521~1526 (1995)
- K. R. Vasuki, "On Some Ramanujan's Schlafli Type Modular Equations", Aus. J. Math. Anal. Appl, 3(2), pp.1~8 (2006)
- K. R. Vasuki, "On Ramanujan's Modular Equation of Degree 7", J. Number Theory, 153, pp.304~308 (2015)
관련 논문AI추천
On Some Modular Equations in the Spirit of RamanujanBelakavadi Radhakrishna Srivatsa Kumar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제3호On some new modular equations of degree 9 and their applicationsM. Manjunatha, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호Further evaluations of Ramanujan-Weber class invariants g_nB. R. Rakshith, G. N. Rajappa, R. G. veeresha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호ON SOME NEW MODULAR RELATIONS FOR RAMANUJAN'S REMARKABLE PRODUCT OF THETA FUNCTIONSB. HEMANTHKUMAR, M. S. MAHADEVA NAIKA, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호Further evaluations of Ramanujan-Weber class invariants $g_n$B. R. Rakshith, G. N. Rajappa, Veeresha R.G.장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호A note on modular equations of signature 2 and their evaluationsArjun Kumar Rathie, Belakavadi Radhakrishna Srivatsa Kumar, Nagara Vinayaka Udupa Sayinath, SHRUTHI대한수학회 · 대한수학회논문집2022 · 제37권 제1호
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