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Quadratic Residues

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Number Theory in Science and Communication

Part of the book series: Springer Series in Information Sciences ((SSINF,volume 7))

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Abstract

Here we will acquaint ourselves with the fundamentals of quadratic residues and some of their applications, and learn how to solve quadratic congruences (or perhaps see when there is no solution).

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References

  1. G. H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 4th ed. ( Clarendon, Oxford 1960 )

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  2. E. Jahnke, R. Emde: Tables of Functions ( Dover, New York 1945 )

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  3. M. Born, E. Wolf: Principles of Optics ( Pergamon, Oxford 1970 )

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  4. M. R. Schroeder, R. E. Gerlach, A. Steingrube, H. W. Strube: Response to “Theory of Optimal Plane Diffusors. ” J. Acoust. Soc. Am. 66, 1647–1652 (1979)

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  5. M. R. Schroeder: Constant-amplitude antenna arrays with beam patterns whose lobes have equal magnitudes. Archiv für Elektronik und Ubertragungstechnik (Electronics and Communication) 34,165–168 (1980) 314 References

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  6. J. E. Mazo: Some theoretical observations on spread-spectrum communications. Bell Syst. Tech. J. 58, 2013–2023 (1979)

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  7. I. F. Blake, J. W. Mark: A note on complex sequences with low correlations. IEEE Trans. IT-28, 814–816 (1982)

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Authors and Affiliations

  1. Drittes Physikalisches Institut, Universität Göttingen, Bürgerstraße 42-44, D-3400, Göttingen, Fed. Rep. of Germany

    Professor Dr. Manfred R. Schroeder (Direktor, Past Director)

  2. Acoustics Speech and Mechanics Research, Bell Laboratories, 07974, Murray Hill, NJ, USA

    Professor Dr. Manfred R. Schroeder (Direktor, Past Director)

Authors
  1. Professor Dr. Manfred R. Schroeder
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© 1984 Springer-Verlag Berlin Heidelberg

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Schroeder, M.R. (1984). Quadratic Residues. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02395-2_15

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  • DOI: https://doi.org/10.1007/978-3-662-02395-2_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-02397-6

  • Online ISBN: 978-3-662-02395-2

  • eBook Packages: Springer Book Archive

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