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Modular Equations of Higher and Composite Degrees

In: Ramanujan’s Notebooks

Author

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  • Bruce C. Berndt

    (University of Illinois at Urbana-Champaign, Department of Mathematics)

Abstract

In this chapter, we continue to examine Ramanujan’s discoveries about modular equations. In the previous chapter, modular equations of degrees 3, 5, and 7 were derived. Modular equations of degrees 11, 13, 17, 19, 23, 31, 47, and 71 are established in this chapter. Also, modular equations of composite degree, or “mixed” modular equations, are studied. Most of the equations of the latter type involve four distinct moduli, and so we begin by defining such a modular equation.

Suggested Citation

  • Bruce C. Berndt, 1991. "Modular Equations of Higher and Composite Degrees," Springer Books, in: Ramanujan’s Notebooks, chapter 0, pages 325-453, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0965-2_6
    DOI: 10.1007/978-1-4612-0965-2_6
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