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Zahlentheoretische Analysis II pp 108–110Cite as

Zur Auswertung Gewisser Numerischer Reihen Mit Hilfe Modularer Funktionen

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1262))

Abstract

Using the functional equation for Dedekind's ν-function two formulae are achieved which allow to evaluate numerically some constants appearing in the analysis of certain algorithms in Computer Science.

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Literatur

  1. APOSTOL T., Modular Functions and Dirichlet Series in Number Theory, Springer, New York 1976.

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  2. BERNDT B.C., Analytic Eisenstein Series, Theta-Functions and Series Relations in the Spirit of Ramanujan, J.Reine Angew. Math.303/304 (1978), 332–365.

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  3. KIRSCHENHOFER P. und H.PRODINGER, Asymptotische Untersuchungen über charakteristische Parameter von Suchbäumen, in diesem Band.

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Author information

Authors and Affiliations

  1. Inst.f.Algebra u.Diskrete Mathematik der Technischen Universität Wien, Wiedner Hauptstr.8-10, A-1040, Wien

    Peter Kirschenhofer & Helmut Prodinger

  2. Institut für Mathematik der Universität Wien, Strudlhofg.4, A-1090, Wien

    Johannes Schoißengeier

Authors
  1. Peter Kirschenhofer
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  2. Helmut Prodinger
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  3. Johannes Schoißengeier
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Editor information

Edmund Hlawka

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© 1987 Springer-Verlag

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Kirschenhofer, P., Prodinger, H., Schoißengeier, J. (1987). Zur Auswertung Gewisser Numerischer Reihen Mit Hilfe Modularer Funktionen. In: Hlawka, E. (eds) Zahlentheoretische Analysis II. Lecture Notes in Mathematics, vol 1262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078599

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  • DOI: https://doi.org/10.1007/BFb0078599

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18015-9

  • Online ISBN: 978-3-540-47256-8

  • eBook Packages: Springer Book Archive

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