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In this paper, we establish several new modular equations of degree two by using Ramanujan's modular equations. We obtain several general formulas for the explicit evaluations of ratios of Ramanujan's theta-functions φ. We also establish some new explicit evaluations for Ramanujan-Göllnitz-Gordon continued fraction, Ramanujan-Selberg continued fraction and a continued fraction of Eisenstein.

被引用紀錄


康濟虹(2011)。中央銀行溝通政策對台灣金融市場之影響〔碩士論文,國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2011.01843

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