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Some Calculations of Modular Relations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 320)

Abstract

I will illustrate Ogg’s lectures by giving a few computations of modular relations, in an honest nineteenth-century spirit. A modular relation may, I suppose, be practically any pretty relation between modular functions; but classically the greatest interest has always been in the relation between j = j(z) and JN = j(Nz) for natural numbers N, and that is the case I will keep to.

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© 1973 Springer-Verlag Berlin Heidelberg

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Birch, B.J. (1973). Some Calculations of Modular Relations. In: Kuijk, W. (eds) Modular Functions of One Variable I. Lecture Notes in Mathematics, vol 320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38509-7_6

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  • DOI: https://doi.org/10.1007/978-3-540-38509-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06219-6

  • Online ISBN: 978-3-540-38509-7

  • eBook Packages: Springer Book Archive