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Number Theoretic Methods pp 119–150Cite as

Product Representations by Rationals

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Part of the book series: Developments in Mathematics ((DEVM,volume 8))

Abstract

A survey is made of the representability of arbitrary rationals by products of given rationals and their reciprocals. Rationals of number theoretic interest are emphasised. There are connections with group theory, harmonic analysis and the theory of algorithms. Outstanding problems of the discipline are identified.

Partially supported by NSF contract DMS 0070496.

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Author information

Authors and Affiliations

  1. University of Colorado, Boulder, Colorado, 80309-0385, USA

    P. D. T. A. Elliott

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  1. P. D. T. A. Elliott
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Editor information

Editors and Affiliations

  1. Graduate School of Advanced Technology, University of Kinki, Iizuka, Japan

    Shigeru Kanemitsu

  2. Institute of Mathematics, Academia Sinica, Beijing, China

    Chaohua Jia

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Elliott, P.D.T.A. (2002). Product Representations by Rationals. In: Kanemitsu, S., Jia, C. (eds) Number Theoretic Methods. Developments in Mathematics, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3675-5_8

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  • DOI: https://doi.org/10.1007/978-1-4757-3675-5_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5239-4

  • Online ISBN: 978-1-4757-3675-5

  • eBook Packages: Springer Book Archive

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