Article ID Journal Published Year Pages File Type
8896911 Journal of Number Theory 2018 16 Pages PDF
Abstract
Properties of theta functions and Eisenstein series dating to Jacobi and Ramanujan are used to deduce differential equations associated with McKay Thompson series of level 20. These equations induce expansions for modular forms of level 20 in terms of modular functions. The theory of singular values is applied to derive expansions for 1/π of level 20 analogous to those formulated by Ramanujan.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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