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Trigonometric sums for recursive sequences of elements in a finite field

  • V. I. Nechaev
Article

Abstract

The problem of estimating trigonometric sums for sequences of elements in a finite field which satisfy a linear recursive equation with periodic coefficients is considered.

Keywords

Finite Field Recursive Equation Periodic Coefficient Recursive Sequence Linear Recursive Equation 
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Literature cited

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    N. M. Korobov, “Distribution of nonresidues and primitive roots in recursive series,” Dokl. Akad. Nauk SSSR,88, No. 4, 603–606 (1953).Google Scholar
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    V. I. Nechaev, “A best possible estimate of trigonometric sums for recursive functions with nonconstant coefficients,” Dokl. Akad. Nauk SSSR,154, No. 3, 520–522 (1964).Google Scholar
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    V. I. Nechaev, “Linear recursive congruences with periodic coefficients,” Matem. Zametki,3, No. 6, 625–632 (1968).Google Scholar
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    I. M. Vinogradov, Elements of the Theory of Numbers [in Russian], Moscow (1965).Google Scholar
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    M. Ward, “The arithmetical theory of linear recurring series,” Trans. Amer. Math. Soc.,35, 600–628 (1933).Google Scholar

Copyright information

© Consultants Bureau 1972

Authors and Affiliations

  • V. I. Nechaev
    • 1
  1. 1.Lenin Moscow State Pedagogical InstituteUSSR

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