AbstractWe present the criterion for irrationality of the sequence to {an/bn}n = 1, where {an}∞n = 1 and {bn}∞n = 1 are sequences of positive integers and {bn/an}∞n = 1 quickly converges to zero. The proof is based on the Dirichlet principle
A well-known result due to S. Beatty is that if α and β are positive irrational numbers satisfying α...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
AbstractIn this paper we derive some irrationality and linear independence results for series of the...
AbstractWe present the criterion for irrationality of the sequence to {an/bn}n = 1, where {an}∞n = 1...
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
Abstract. The new concept of an irrationality measure of sequences is introduced in this paper by me...
The main purpose of this paper is to prove an irrationality criterion involving recurring sequences....
We consider integer sequences that satisfy a recursion of the form x(n+1) = P(x(n)) for some polynom...
Let α be an irrational number with α> 1. We denote S(α) by S(α) = {bnαc|n ∈ N}. In 1926, Sam Bea...
AbstractFor positive integers m and h ≥ 2, let (m)h denote the finite sequence of digits of m writte...
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractIn this paper we study the behavior of the recursive sequence xn+1=axn+bxnxn−1cxn+dxn−1,n=0,...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
have proved the irrationality of L-,-. n=l n. The author of this note [5] showed that this is a cons...
We generalize a previous result due to Badea relating to the irrationality of some quick convergent ...
A well-known result due to S. Beatty is that if α and β are positive irrational numbers satisfying α...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
AbstractIn this paper we derive some irrationality and linear independence results for series of the...
AbstractWe present the criterion for irrationality of the sequence to {an/bn}n = 1, where {an}∞n = 1...
The main result of this paper is a criterion for irrational sequences which consist of rational numb...
Abstract. The new concept of an irrationality measure of sequences is introduced in this paper by me...
The main purpose of this paper is to prove an irrationality criterion involving recurring sequences....
We consider integer sequences that satisfy a recursion of the form x(n+1) = P(x(n)) for some polynom...
Let α be an irrational number with α> 1. We denote S(α) by S(α) = {bnαc|n ∈ N}. In 1926, Sam Bea...
AbstractFor positive integers m and h ≥ 2, let (m)h denote the finite sequence of digits of m writte...
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractIn this paper we study the behavior of the recursive sequence xn+1=axn+bxnxn−1cxn+dxn−1,n=0,...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
have proved the irrationality of L-,-. n=l n. The author of this note [5] showed that this is a cons...
We generalize a previous result due to Badea relating to the irrationality of some quick convergent ...
A well-known result due to S. Beatty is that if α and β are positive irrational numbers satisfying α...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
AbstractIn this paper we derive some irrationality and linear independence results for series of the...
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