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Invariant theory of systems of equations in a finite field

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References

  1. L. Carlitz, Invariant theory of equations in a finite field,Transactions of the American Mathematical Society, vol. 75 (1953), pp. 405–427.

    Article  MATH  MathSciNet  Google Scholar 

  2. L. Carlitz, The singular series for sums of squares of polynomials,Duke Mathematical Journal, vol. 14 (1947), pp. 1105–1120.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. Chevalley, Démonstration d'une hypothèse de M. Artin,Abbandlungen aus dem mathematischen Seminar der Hansischen Universitaet, vol. 11 (1936), pp. 73–75.

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  4. L. E. Dickson, General theory of modular invariants,Transactions of the American Mathematical Society, vol. 10 (1909), pp. 123–158.

    Article  MathSciNet  Google Scholar 

  5. L. E. Dickson, A theory of invariants,American Journal of Mathematics vol. 31 (1909), pp. 337–354.

    Article  MathSciNet  Google Scholar 

  6. D. E. Rutherford, Modular invariants, Cambridge, 1932.

  7. A. L. Whiteman, Finite Fourier series and cyclotomy,Proceedings of the National Academy of Sciences, vol. 37 (1951), pp. 373–378.

    Article  MATH  MathSciNet  Google Scholar 

  8. A. L. Whiteman, Finite Fourier series and equations in a finite field,Transactions of the American Mathematical Society, vol. 74 (1953), pp. 78–98.

    Article  MATH  MathSciNet  Google Scholar 

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  1. Duke University, Durham, North Carolina, U.S.A.

    L. Carlitz

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  1. L. Carlitz
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Carlitz, L. Invariant theory of systems of equations in a finite field. J. Anal. Math. 3, 382–413 (1953). https://doi.org/10.1007/BF02803595

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