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Representations of Numbers as \(\sum_{k=-n}^n \varepsilon_k k\):A Saddle Point Approach

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5489))

Abstract

Using the saddle point method, we obtain from the generating function of the numbers in the title and Cauchy’s integral formula asymptotic results of high precision in central and non-central regions.

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References

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© 2009 Springer-Verlag Berlin Heidelberg

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Louchard, G., Prodinger, H. (2009). Representations of Numbers as \(\sum_{k=-n}^n \varepsilon_k k\):A Saddle Point Approach. In: Archibald, M., Brattka, V., Goranko, V., Löwe, B. (eds) Infinity in Logic and Computation. ILC 2007. Lecture Notes in Computer Science(), vol 5489. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03092-5_7

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  • DOI: https://doi.org/10.1007/978-3-642-03092-5_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03091-8

  • Online ISBN: 978-3-642-03092-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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