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.
Similar content being viewed by others
Literature cited
N. M. Korobov, “Distribution of nonresidues and primitive roots in recursive series,” Dokl. Akad. Nauk SSSR,88, No. 4, 603–606 (1953).
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).
V. I. Nechaev, “Linear recursive congruences with periodic coefficients,” Matem. Zametki,3, No. 6, 625–632 (1968).
I. M. Vinogradov, Elements of the Theory of Numbers [in Russian], Moscow (1965).
M. Ward, “The arithmetical theory of linear recurring series,” Trans. Amer. Math. Soc.,35, 600–628 (1933).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 11, No. 5, pp. 597–607, May, 1972.
Rights and permissions
About this article
Cite this article
Nechaev, V.I. Trigonometric sums for recursive sequences of elements in a finite field. Mathematical Notes of the Academy of Sciences of the USSR 11, 362–367 (1972). https://doi.org/10.1007/BF01158653
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01158653