This is a preview of subscription content, log in via an institution to check access.
Literature cited
S. A. Stepanov, “The number of points of hyperelliptic curve over a simple finite field,” Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 5, 1171–1181 (1969).
S. A. Stepanov, “Elementary method in theory of congruences for a prime modulus,” Acta Arithm.,17, No. 3, 231–241 (1970).
S. A. Stepanov, “An estimation of rational trigonometric sums with a simple denominator,” Trudy MIAN,112, No. 1, 346–371 (1971).
S. A. Stepanov, “Equations with two unknown variables,” Izv. Akad. Nauk SSSR, Ser. Mat.,36, No. 4, 683–711 (1972).
S. A. Stepanov, “An elementary proof of the Hasse-Weil theorem for hyperelliptic curves,” J. Number Theory,4, No. 2, 118–143 (1972).
N. M. Korobov, “An estimation of the sum of Legendre polynomials,” Dokl. Akad. Nauk SSSR,196, No. 4, 764–767 (1971).
D. A. Mit'kin, “An estimation of the sum of symbols of Legendre polynomials of polynomials of even degree,” Mat. Zametki, 14, No. 1, 73–81 (1973).
H. M. Stark, “On the Riemann hypothesis in hyperelliptic function fields,” Proc. of Symposia in Pure Math., Providence,24, 285–302 (1973).
W. M. Schmidt, “Zur Methode von Stepanov,” Acta Arithm.,24, No. 4, 347–367 (1973).
D. A. Mit'kin, “On elementary proof of the A. Weil estimation of rational trigonometric sums with a simple denominator,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 14–17 (1986).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 51, No. 6, pp. 52–58, June, 1992.
The author wishes to thank to V. L. Topunov for carrying out computer computations for him, which became the stimulus for the present work.
Rights and permissions
About this article
Cite this article
Mit'kin, D.A. Stepanov method of the estimation of the number of roots of some equations. Math Notes 51, 565–570 (1992). https://doi.org/10.1007/BF01263300
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01263300