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arXiv · 2607.13600

Generalization of Ramanujan's Continued Fractions for Even Order

Dipika Sarkar·S. N. Fathima·M. P. Thejitha
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Abstract

In this paper, we derive three generalized continued fractions of any even order $k$ with the aid of a general continued fraction identity of Ramanujan and we establish general theta function identities for these continued fractions. As an application of continued fraction of order seventy-six, we obtain partition theoretic identities and some vanishing coefficient results.

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Dipika Sarkar, S. N. Fathima, M. P. Thejitha. 2026-07-15. Generalization of Ramanujan's Continued Fractions for Even Order. https://arxiv.org/abs/2607.13600

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