期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (1)
For integers p, b <= 2, let D = {0, 1, ... , b - 1} be a set of consecutive digits. It is known that the Cantor measure mu(pb,D) generated by the i......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (1)
The general position number of a connected graph is the cardinality of a largest set of vertices such that no three pairwise-distinct vertices from th......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (1)
Jesmanowicz conjectured that (x, y, z) = (2, 2, 2) is the only positive integer solution of the equation (*) ((f(2) - g(2))n)(x) + (2fgn)y = ((f(2) + ......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (1)
Let C(G) be the poset of cyclic subgroups of a finite group G and let P be the class of p-groups of order p(n) (n >= 3). Consider the function alph......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (3)
We find and prove a class of congruences modulo 4 for eta-products associated with certain ternary quadratic forms. This study was inspired by similar......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (2)
A graph is called radially maximal if it is not complete and the addition of any new edge decreases its radius. Harary and Thomassen ['Anticritical gr......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (1)
Consider an intermittent map f(kappa) : [0,1] -> [0,1] and a Holder continuous potential phi : [0,1] -> R. We show that phi is stochastic for f(......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (1)
In 1945-1946, C. L. Siegel proved that an n-dimensional lattice Lambda of determinant det(Lambda) has at most m(n2) different sublattices of determina......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (2)
A graph Gamma is called (G, s)-arc-transitive if G <= Aut(Gamma) is transitive on the set of vertices of Gamma and the set of s-arcs of Gamma, wher......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (2)
Let G be a finite group and chi be a character of G. The codegree of chi is codeg(chi) = vertical bar G : ker chi vertical bar/chi(1). We write pi(G) ......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (2)
Z.-W. Sun ['Refining Lagrange's four-square theorem', J. Number Theory 175 (2017), 169-190] conjectured that every positive integer n can be written a......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 104 (1)
We study the k-Galois linear complementary dual (LCD) codes over the finite chain ring R = F-q + uF(q) with u(2) = 0, where q = p(e) and p is a prime ......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (1)
Let G be a finite group and p be an odd prime. We show that if O-p(G) = 1 and p(2) does not divide every irreducible p-Brauer character degree of G, t......
期刊： BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2021; 103 (3)
We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown......
