References
- B. C. Berndt, Number Theory in the Spirit of Ramanujan, American Mathematical Society, 2006.
- B. C. Berndt, Ramanujan's Notebooks, Part III, Springer-Verlag, New York, 1991.
- B. C. Berndt, Ramanujan's Notebooks, Part IV, Springer-Verlag, New York, 1991.
- B. C. Berndt, H. H. Chan, and L. C. Zhang, Explicit Evaluations of the Rogers-Ramanujan continued fraction, J. Reine Angew. Math. 480 (1996), 141-159.
- B. C. Berndt and R. A. Rankin, Ramanujan: Essays and Surveys, American Mathemat-ical Society, Providence, 2001; London Mathematical Society, London, 2001.
- D. H. Paek and J. Yi, On some modular equations and their applications II, Bull. Korean Math. Soc. 50 (2013), no. 4, 1221-1233. https://doi.org/10.4134/BKMS.2013.50.4.1221
- R. A. Rankin, Modular Forms and Functions, Cambridge University Press, Cambridge, 1977.
- B. Schoeneberg, Elliptic Modular Functions, Springer-Verlag, New York, 1974.
- J. Yi, The Construction and Applications of Modular Equations, Ph. D. Thesis, University of Illinois at Urbana-Champaign, 2001.
- J. Yi, Evaluations of the Rogers-Ramanujan continued fraction R(q) by modular equa tions, Acta Arith. 97 (2001), no. 2, 103-127. https://doi.org/10.4064/aa97-2-2
- J. Yi, Theta-function identities and the explicit formulas for theta-function and their applications, J. Math. Anal. Appl. 292 (2004), no. 2, 381-400. https://doi.org/10.1016/j.jmaa.2003.12.009
- J. Yi, M. G. Cho, J. H. Kim, S. H. Lee, J. M. Yu, and D. H. Paek On some modular equations and their applications I, Bull. Korean Math. Soc. 50 (2013), no. 3, 761-776. https://doi.org/10.4134/BKMS.2013.50.3.761
-
J. Yi, Y. Lee, and D. H. Paek, The explicit formulas and evaluations of Ramanujan's theta-function
$\psi$ , J. Math. Anal. Appl. 321 (2006), no. 1, 157-181. https://doi.org/10.1016/j.jmaa.2005.07.062