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On the Oscillation Theorems of Pringsheim and Landau

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Number Theory

Part of the book series: Trends in Mathematics ((TM))

Abstract

Our theme is a relation between the sign of a real function and the analytic behaviour of its associated generating function at a special point on the boundary of convergence.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, IL, USA

    Paul T. Bateman

  2. Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA

    Harold G. Diamond

Authors
  1. Paul T. Bateman
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  2. Harold G. Diamond
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Editor information

Editors and Affiliations

  1. Centre for Advanced Study in Mathematics, Panjab University, 160 012, Chandigarh, India

    R. P. Bambah , V. C. Dumir  & R. J. Hans-Gill ,  & 

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© 2000 Hindustan Book Agency (India) and Indian National Science Academy

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Bateman, P.T., Diamond, H.G. (2000). On the Oscillation Theorems of Pringsheim and Landau. In: Bambah, R.P., Dumir, V.C., Hans-Gill, R.J. (eds) Number Theory. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7023-8_3

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  • DOI: https://doi.org/10.1007/978-3-0348-7023-8_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7025-2

  • Online ISBN: 978-3-0348-7023-8

  • eBook Packages: Springer Book Archive

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