The Journal of the Indian Mathematical Society

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Some Applications of Modular Equations


     

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In the paper on "Some Infinite Products and Series" which appeared in the J.I.M.S. (Vol. XV, Nos. 7, 10 and 11), certain results relating to 'Theta-Products' and 'inverse Tangent Series' of the type Σ1 - Σ2 have been established by Mr. Bhimasena Rao and myself. In this paper, I propose to evaluate, by a direct application of a few modular equations, some fresh Theta-Products and also to discuss the sums of the series Σ1 and Σ2 a separately.
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  • Some Applications of Modular Equations

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Abstract


In the paper on "Some Infinite Products and Series" which appeared in the J.I.M.S. (Vol. XV, Nos. 7, 10 and 11), certain results relating to 'Theta-Products' and 'inverse Tangent Series' of the type Σ1 - Σ2 have been established by Mr. Bhimasena Rao and myself. In this paper, I propose to evaluate, by a direct application of a few modular equations, some fresh Theta-Products and also to discuss the sums of the series Σ1 and Σ2 a separately.