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ON SOME NEW SCHLAFLI􀀀TYPE CUBIC MODULAR EQUATIONS

김영희|김태균|장이채|이병제|Naika|Kumar
장전수학회 (Jangjeon Mathematical Society)|2010.01|Advanced Studies in Contemporary Mathematics|제20권 제1호|pp. 63-80

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참고문헌

키워드

Modular equationTheta-functionCubic Class invariantcubic singular modulus
주제분류수학

초록

In this paper, we establish several new Schläfli-type cubic modular equations. We establish modular relations between the cubic class invariants hn with hk2n and Hn with Hk2n for k = 2, 5, 7, 8 and 11. We also establish the several new explicit evaluations of the cubic class invariants and cubic singular moduli.

Abstract

In this paper, we establish several new Schläfli-type cubic modular equations. We establish modular relations between the cubic class invariants hn with hk2n and Hn with Hk2n for k = 2, 5, 7, 8 and 11. We also establish the several new explicit evaluations of the cubic class invariants and cubic singular moduli.

참고문헌 (25)

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관련 논문AI추천

On some new Schläfli type mixed modular equationsK. S. Bairy, M. S. M. Naika장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호A NOTE ON SCHLÄFLI TYPE MODULAR EQUATIONS OF COMPOSITE DEGREESMohandas장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호Further 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 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 제1호On evaluations of the modular $j$--invariant by modular equations of degree 2Dae Hyun Paek, Jinhee Yi대한수학회 · 대한수학회보2015 · 제52권 제1호New Modular Relations for the Ratio’s of Ramanujan Function χ(−q) of degree 9B. N. DHARMENDRA, P. S. Guruprasad장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호

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