Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A NOTE ON MODULAR EQUATIONS OF SIGNATURE 2 AND THEIR EVALUATIONS

  • Received : 2020.12.06
  • Accepted : 2021.04.16
  • Published : 2022.01.31
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Abstract

In his notebooks, Srinivasa Ramanujan recorded several modular equations that are useful in the computation of class invariants, continued fractions and the values of theta functions. In this paper, we prove some new modular equations of signature 2 by well-known and useful theta function identities of composite degrees. Further, as an application of this, we evaluate theta function identities.

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Acknowledgement

The authors thank the referee for the valuable comments and suggestions for the detailed review which helped us to improve the presentation of the paper.

References

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