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Elliptic Functions

In: Ramanujan's Theta Functions

Author

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  • Shaun Cooper

    (Massey University, Institute of Natural and Mathematical Science)

Abstract

We prove five identities for elliptic functions that provide access to a vast number of identities for theta functions. Two examples, that have applications to number theory, are worked out in detail. Properties of Weierstrass, Jacobi, and Dixon elliptic functions are developed from the point of view of q-series.

Suggested Citation

  • Shaun Cooper, 2017. "Elliptic Functions," Springer Books, in: Ramanujan's Theta Functions, chapter 0, pages 59-128, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-56172-1_2
    DOI: 10.1007/978-3-319-56172-1_2
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