Observations on the 'values' of the elliptic modular function j(τ) at real quadratics

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    Abstract

    We define 'values' of the elliptic modular j-function at real quadratic irrationalities by using Hecke's hyperbolic Fourier expansions, and present some observations based on numerical experiments.

    Original languageEnglish
    Pages (from-to)353-364
    Number of pages12
    JournalKyushu Journal of Mathematics
    Volume63
    Issue number2
    DOIs
    Publication statusPublished - Oct 30 2009

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)

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