期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (1)
Let q be a prime number and f ( x) = x(qs) - ax(m) - b be a monic irreducible polynomial of degree qs having integer coefficients. Let K = Q(theta) be......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (1)
Let p be an odd prime number, n >= 3 be a rational integer, and let f ( X) = X (pn) + aX + a is an element of Z[X] be an Eisenstein trinomial with ......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)
For 0 & LE; & alpha;
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)
We give sufficient conditions for any linear combination over Q of numbers S-n=1(8) b(1,n)/a(1,n), . . ., S-n=1(8) b(K,n)/a(K,n )to have algebraic deg......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (4)
In this paper, a general inversion pair is established which provides deformed versions of the Humbert polynomial, Wilson polynomials and Racah polyno......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (4)
We describe the irreducible decomposition of the facet ideal F(?(m,n)) of the chessboard complex ?(m,n) with n = m. We also provide some lower bounds ......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)
Let F(x) be any analytic function. Suppose that w is a fixed point of F(x), that is, F(w) = w. We previously (Rocky Mountain J. Math. 52:6 (2022)) gav......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (1)
The shedding vertices of simplicial complexes are studied from an algebraic point of view. Based on this perspective, we introduce the class of ass-de......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)
Here elastic transformation and its inverse transformation are used to solve two kinds of first-and third-order nonlinear ordinary differential equati......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (4)
We study a new problem of nonlinear integrodifferential equations with nonlocal integral conditions. The considered problem is singular at the origin ......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)
Let G be a finite group. In this expository paper, we provide a detailed proof of the polynomiality property of the structure coefficients of the cent......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (5)
We show the global structure of positive solutions for second order periodic boundary value problem(-Delta(2)u(t-1)=lambda a(t)g(u(t)), t is an elemen......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (6)
We study the existence of solutions for 2D fractional Volterra integral equations, using Petryshyn's fixed-point theorem and measures of noncompactnes......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (2)
In the first part of the paper, we give some criteria of continuity of the spectral radius functions on strongly sequential S-fundamental F-algebras. ......
期刊: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023; 53 (3)
Let n > 2 be an integer and consider the defining ideal of the Fermat configuration of points in P2: I n = (x(yn - zn), y(zn -xn), z(xn - yn)) &......