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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, 5th ed., Sect. 6.5–7 (Clarendon, Oxford 1984)

    Google Scholar 

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

    MATH  Google Scholar 

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

    Google Scholar 

  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)

    Article  ADS  Google Scholar 

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

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

    MathSciNet  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  8. R. A. Scholtz: The origins of spread-spectrum communication. IEEE Trans. Communications, 30, 822–852 (1982); see also other articles in the same issue (May 1982)

    Article  ADS  Google Scholar 

  9. R. M. Lerner: Signals having good Correlation Functions. Western Electronic Show and Convention, San Francisco, August 1961. Paper 9/3

    Google Scholar 

  10. S.W. Golomb: Shift Register Sequences (Holden-Day, San Francisco 1967)

    MATH  Google Scholar 

  11. M.R. Schroeder: Acustica 81, 364 (1995)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Drittes Physikalisches Institut, Universität Göttingen, Bürgerstraße 42-44, D-37073, Göttingen, Germany

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

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

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

Authors
  1. Professor Dr. Manfred R. Schroeder
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© 1997 Springer-Verlag Berlin Heidelberg

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Schroeder, M.R. (1997). Quadratic Residues. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03430-9_15

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  • DOI: https://doi.org/10.1007/978-3-662-03430-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62006-8

  • Online ISBN: 978-3-662-03430-9

  • eBook Packages: Springer Book Archive

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