Abstract:
A new method is proposed in this paper for investigating algebraic congruences with prime modulus, leading in the case of hyperelliptic curves to estimates of the same order of strength as the classical estimates of Hasse and Weil.
\Bibitem{Ste69}
\by S.~A.~Stepanov
\paper On the number of points of a~hyperelliptic curve over a~finite prime field
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 5
\pages 1103--1114
\mathnet{http://mi.mathnet.ru/eng/im2197}
\crossref{https://doi.org/10.1070/IM1969v003n05ABEH000834}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=252400}
\zmath{https://zbmath.org/?q=an:0192.58002}
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https://doi.org/10.1070/IM1969v003n05ABEH000834
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M. Einsiedler, M. Luethi, Lecture Notes in Mathematics, 2213, Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics, 2018, 137
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Yu. V. Malykhin, “Bounds for exponential sums modulo p2”, J. Math. Sci., 146:2 (2007), 5686–5696
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