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Some generalized permutation polynomials over finite fields

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2021; 64 (1)

Constructing permutation polynomials is a hot topic in finite fields, and permutation polynomials have many applications in another areas. In this pap......

A result on restricted fractional (g,f)-factors in graphs

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (4)

In the NFV network, the availability of resource scheduling can be transformed to the existence of the restricted fractional (g,f)-factors in the corr......

The hybrid power mean involving character sums of polynomials and two-term exponential sums

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (4)

The main purpose of this paper is using the analytic methods and the properties of the classical Gauss sums to study the computational problem of one ......

Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (3)

We explicitly describe the structures of strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings.

Infinite families of congruences modulo 9 for 9-regular partitions

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (2)

For any integer t >= 2, let b(t)(n) denote the number of t-regular partitions of n. Recently, infinite families of congruences modulo 3 for b(9)(n)......

The error term of the fourth power mean of the generalized cubic Gauss sums

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (2)

The principal goal of this paper is to study the computational problem of the error term of the fourth power mean for generalized cubic Gauss sums by ......

Notes on fractional (a, b, k)-critical covered graphs

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (1)

A graph G is called fractional (a, b, k)-critical covered if G - Q is fractional [a, b]-covered for any Q subset of V (G) with jQj = k. In this articl......

On the degree sequence determined by the Laplacian spectrum of the corresponding graph

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (1)

Let G (Delta(x Delta),..., 2(x)2, 1(x)1) be the set of connected graph with degree sequence (Delta(x Delta),..., 2(x2), 1(x1)). In this paper, we show......

On the Bruhat rank of a Boolean F-matrix

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2020; 63 (1)

A factorizable matrix or F-matrix is a square matrix which is obtained from the product of particular 2 x 2 and 3 x 3 block partitioned matrices. One ......

A remark on bounds for the maximal height of divisors of x(n)-1

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019; 62 (2)

For a given positive integer n, let B(n) denote the maximum absolute value of coefficients of any divisor of x(n) -1. Let r >= 2 and n=p(1)(e1)...p......

JIF:0.57

Ground state solutions for nonautonomous Schrodinger-Poisson systems involving critical exponent

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019; 62 (2)

For the Schrodinger-Poisson system with critical exponent of the version -Delta u + V(x)u + phi u = a(x) f (u) u(5) in R-3 and -Delta phi = u(2) in R-......

JIF:0.57

A hybrid power mean of the two-term exponential sums and the reciprocal of the quartic Gauss sums

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019; 62 (2)

The main purpose of this paper is using the elementary methods and the properties of the classical Gauss sums to study the computational problems of t......

JIF:0.57

Primitive prime divisors for weighted homogeneous polynomial

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019; 62 (2)

From Mersenne sequence to elliptic divisibility sequence, it is a important problem in number theory to prove the existence of primitive prime divisor......

JIF:0.57

Application of quartic residue character theory to the Diophantine equation a(x) + b(y) = c(z)

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019; 62 (2)

Let (a, b, c) be a primitive Pythagorean triple satisfying a(2) + b(2) = c(2). In 1956, Jegmanowicz conjectured that the only positive integer solutio......

JIF:0.57

Faces of the cone of positive semidefinite matrices

期刊: BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2019; 62 (3)

Let 2(d) be the family of all d x d positive semidefinite matrices. We show that the form of faces of 2(d) under geometric and algebraic definitions c......

JIF:0.57

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