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Published in:
1991 | OriginalPaper | Chapter
Modular Equations of Higher and Composite Degrees
Author : Bruce C. Berndt
Published in: Ramanujan’s Notebooks
Publisher: Springer New York
Included in: Professional Book Archive
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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.