DIVISORS OF THE GAUSSIAN INTEGERS IN NORM GROUP E+ 𝑁
Journal Title: Дослідження в математиці і механіці - Year 2017, Vol 22, Issue 1
Abstract
The divisor function in norm group E+ 𝑛 is investigated, where the set E+ 𝑛 is a multiplicative subgroup in the multiplicative group of classes of residues modulo 𝑝𝑛 over Z[𝑖]. The asymptotic formula is obtained. MSC: 11N37.
Authors and Affiliations
A. S. Radova
About one solving method of the contact problem for an elastic semi-infinite layer
It is solved the contact problem on the action of a circular stamp with an extra-central power on the elastic semi-infinite layer. On the lateral and lower side of the layer the conditions of the smooth contact are given...
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...
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...
ON THE MULTIPLICATIVE PARTITION FUNCTION
We study the number of representations n=s1⋯sm, where sj are sonor numbers, i.e. for every sj there do not exist the natural numbers n and k such that sj=nk, k⩾2. The counting function f(n) of such representation is the...
DISTRIBUTION OF THE WEIGHTS OF THE KLOOSTERMAN CODE
Tran The Vinh. Distribution of the weights of the Kloosterman code. Studied 𝑝-ary Kloosterman codes of length 𝑝2 − 1 in alphabet F𝑞 which are the cyclic codes of the dual Melas code of length 𝑝2 − 1. We obtain the weight...