Diophantine Equations

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


Integer Solution Diophantine Equation Triangular Number Asymptotic Number Room Acoustics 
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Chapter 7

  1. 7.1
    G. H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 5th ed., Sect. 5.4 (Clarendon, Oxford 1984)Google Scholar
  2. 7.2
    T. L. Heath: Diophantus of Alexandria (Dover, New York 1964)MATHGoogle Scholar
  3. 7.3
    C. F. Gauss: Disquisitiones Arithmeticae [English transl. by A. A. Clarke, Yale University Press, New Haven 1966]MATHGoogle Scholar
  4. 7.4
    R. Tijdeman: On the equation of Catalan. Acta Arith. 29, 197–209 (1976); “Exponential Diophantine Equations,” in Proc. Int. Congr. Math., Helsinki (1978)MathSciNetGoogle Scholar
  5. 7.5
    S. Singh: Fermat’s Enigma (Walker and Company, New York 1987). See also W. Kaufmann-Bühler: Gauss. A Biographical Study (Springer, Berlin, Heidelberg, New York 1981)Google Scholar
  6. 7.6
    M. Abramowitz, I. A. Stegun: Handbook of Mathematical Function (Dover, New York 1965)Google Scholar
  7. 7.7
    M. Schroeder: Math. Intelligencer 16, No. 4, 19 (1994)MathSciNetMATHCrossRefGoogle Scholar
  8. 7.8
    D. Goldfeld: The Sciences March/April, 34 (1996)Google Scholar
  9. 7.9
    M. D. Hirschhorn: A simple proof of Jacobi’s four-square theorem. J. Austral. Math. Soc. 32, 61–67 (1981)MathSciNetGoogle Scholar
  10. 7.10
    M. R. Schroeder: Acustica 75 94 (1991)Google Scholar
  11. 7.11
    H. Minkowski: Peter Gustav Lejeune Dirichlet und seine Bedeutung für die heutige Mathematik. Jahresbericht der Deutschen Mathematiker-Vereinigung 14, 149–163 (1905)MATHGoogle Scholar
  12. 7.12
    M. R. Schroeder: Eigenfrequenzstatistik und Anregungsstatistik in Räumen. Acustica 4, 45–68 (1954)Google Scholar

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