EXPONENTIAL SUMS WITH THE BINOMIAL IN THE EXPONENT OVER THE RING OF GAUSSIAN INTEGERS
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 3
Abstract
In this work nontrivial estimates for the exponential sums with the polynomial ..(..) = ...... + .... in the exponent, where (.., ..) = (.., ..) = (.., ..) = 1, .. > 2, over the ring of the gaussian integers were obtained.
Authors and Affiliations
L. V. Balyas
Keywords
Related Articles
- EP ID EP416127
- DOI -
- Views 66
- Downloads 0
ALLIANCE IN THREE PERSON GAMES
In the present paper, we suggest a new concept of an optimal solution (that we call “coalitional equilibrium”) based on the concepts of Nash and Berge equilibria. We apply the concept of an optimal solution where the out...
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...
Closure of crack connected with a slit in a plate under bending and tension – compression loads
The mixed problem of contact interaction of edges of through crack connected with narrow slit in a plate under membrane and bending loadings is considered in two-dimensional statement. The edges of slit are in no contact...
On a two-step algorithm in structural and parametric optimization problems of linear control systems.
This paper deals with applying of a two-step optimization algorithm for structural and parametric optimization problems of linear control systems with fixed and floating switching points.
HIGH-ORDER CLUSTER INTEGRALS FOR THE LATTICE-GAS MODEL
In the paper, for the known statistical lattice-gas model, a new method is proposed to define the high-order reducible cluster integrals on the basis of the Cauchy--Hadamard theorem and recently established strict inform...