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Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics pp 73–77Cite as

On the Transformation Formula for the Dedekind Eta-Function

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Part of the book series: Developments in Mathematics ((DEVM,volume 4))

Abstract

A new simple proof of the transformation formula for the Dedekind eta-function is given. Some connections with certain infinite series are made.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, Illinois, 61801, USA

    Bruce C. Berndt

  2. 8, II Cross, Nehru Nagar, Bangalore, 560 020, India

    K. Venkatachaliengar

Authors
  1. Bruce C. Berndt
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  2. K. Venkatachaliengar
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Florida, Gainesville, Florida, 32611, USA

    Frank G. Garvan

  2. Department of Mathematics, University of South Florida, Tampa, Florida, 33620, USA

    Mourad E. H. Ismail

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© 2001 Kluwer Academic Publishers

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Berndt, B.C., Venkatachaliengar, K. (2001). On the Transformation Formula for the Dedekind Eta-Function. In: Garvan, F.G., Ismail, M.E.H. (eds) Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics. Developments in Mathematics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0257-5_5

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  • DOI: https://doi.org/10.1007/978-1-4613-0257-5_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4020-0101-7

  • Online ISBN: 978-1-4613-0257-5

  • eBook Packages: Springer Book Archive

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