CHARACTER SUMS ANALOGUE OF KLOOSTERMAN SUMS ON NORM GROUP
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 2
Abstract
We consider character sums, analogue of Kloosterman sums over norm group in the ring of Guassian integers. We obtain non-trivial estimation of exponential sums and character sums modulo pm, where p — prime number, p ≡ 3 (mod 4).
Authors and Affiliations
S. S. Sergeev
Keywords
Related Articles
- EP ID EP416102
- DOI -
- Views 62
- Downloads 0
On the oscillations in the quasi-linear second order differential systems with slowly-varying parameters
For the quasi-linear second order differential system with pure imaginary eigenvalues of the matrix of the linear part, the conditions of the existence of the particular solution, representable as an absolutely and unifo...
ON A REDUCTION OF A LINEAR HOMOGENEOUS DIFFERENTIAL SYSTEM WITH OSCILLATING COEFFICIENTS TO A SYSTEM WITH SLOWLY VARYING COEFFICIENTS IN RESONANCE CASE
For the linear homogeneous differential system, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, conditions of existence of the l...
ON ASYMPTOTIC BEHAVIOR OF A ONE DIFFERENTIAL EQUATIONS CLASS' SOLUTIONS
For the second-order differential equation of general form y′′=f(t,y,y′), where f:[a,\omega[\times \Delta_ Y_0 \times\Delta_ Y_1 \longrightarrow \bf R is continuous function, $-\infty
The rapid rotation of a dynamically asymmetric satellite in a gravitational field
We study the rapid rotary motion of the mass center of a dynamically asymmetric satellite in a gravitational field. The motion occurs in an elliptical orbit. A numerical study of the vector locus kinetic moment in three...
Asymptotical expansion of vanishing solutions of differential equations in one special case
Considered in this paper is a system of quasilinear differential equations with factors on the right side that disappear when 𝑡 → ∞ ( absolutely integrable or not). Sufficient conditions are obtained under which it is po...