Search
Search Results
-
Limits of Some Weighted Cesaro Averages
We investigate the existence of the limit of some high order weighted Cesaro averages.
-
Analytic summability of real and complex functions
Gamma-type functions satisfying the functional equation f ( x +1) = g ( x ) f ( x ) and limit summability of real and complex functions were introduced by...
-
On the Aluthge Transforms of Weighted Shifts with Moments of Fibonacci Type. Application to Subnormality
In this paper, we investigate the properties of the Aluthge transforms of weighted shifts whose moment sequence is a generalized Fibonacci sequence...
-
On the Diophantine equation x 2 − kxy + y 2 − 2 n = 0
In this study, we determine when the Diophantine equation x 2 − kxy + y 2 −2 n = 0 has an infinite number of positive integer solutions x and y for 0 ⩽ n...
-
Powers of Rational Numbers Modulo 1 Lying in Short Intervals
Let p > q > 1 be two coprime integers. We construct some positive numbers ξ such that the numbers ξ ( p / q ) n , n = 0, 1, 2, . . . , modulo 1 all lie in...
-
A survey of Skolem-type sequences and Rosa’s use of them
Let D be a set of positive integers. A Skolem-type sequence is a sequence of i ∈ D such that every i ∈ D appears exactly twice in the sequence at...
-
Periodic decomposition of integer valued functions
We study those functions that can be written as a finite sum of periodic integer valued functions. On ℤ we give three different characterizations of...
-
The Asymptotic Behavior of the Joint Linear Complexity Profile of Multisequences
We prove a conjecture on the asymptotic behavior of the joint linear complexity profile of random multisequences over a finite field. This conjecture...
-
On the degree of iterates of automorphisms¶of the affine plane
For a polynomial automorphism f of ? 2 ℂ , we set τ = deg f 2 )/(deg f ). We prove that τ≤ 1 if and only if f is triangularizable. In this situation, we...
-
A characterization of the Chebyshev and Fibonacci polynomials
We consider sequences of polynomials of hypergeometric type satisfying a three-term recurrence relation with constant coefficients and general...
-
-
An application of an optimal behaviour of the greedy solution in number theory
Let a 1 , a 2 , ..., a n be relative prime positive integers. The Frobenius problem is to determine the greatest integer not belonging to the set {Σ
...