Add to ORKGAlgebraic independence of modified reciprocal sums of products of Fibonacci numbers b
Sums of products of a fixed number of Fibonacci(-type) numbers can be computed automatically. This e...
Recently Nathaniel Shar presented a finite sum, involving the Fibonacci numbers, that generalizes a ...
Let G(z):=∑n⩾0z2n(1−z2n)−1 denote the generating function of the ruler function, and F(z):=∑n⩾z2n(1+...
Algebraic independence of power series generated by linearly independent positive numbers b
We consider the sequence {~} defined, for all integers n, by ~ = P~-I +~-2 ' Wo=a, Wi=b. (1.1)...
The purpose of this report is to analyze the properties of Fibonacci numbers modulo a Lucas numbers....
Abstract Algebraic independence of values of certain infinite products is proved, where the transcen...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
A brief survey of identities about reciprocal sums of products of elements in a binary recurrence se...
AbstractIt is proved that the function Θ(z)=∑k⩾0zR0+R1+⋯+Rk(1−zR0)(1−zR1)⋯(1−zRk), which can be expr...
We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with fin...
Recently, interest has been shown in summing infinite series of reciprocals of Fibonacci numbers [1]...
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
Abstract. We establish relations between reciprocal and alternating sums involv-ing generalized Luca...
We give a systematic approach to compute certain sums of squares Fibonomial coefficients with powers...
Sums of products of a fixed number of Fibonacci(-type) numbers can be computed automatically. This e...
Recently Nathaniel Shar presented a finite sum, involving the Fibonacci numbers, that generalizes a ...
Let G(z):=∑n⩾0z2n(1−z2n)−1 denote the generating function of the ruler function, and F(z):=∑n⩾z2n(1+...
Algebraic independence of power series generated by linearly independent positive numbers b
We consider the sequence {~} defined, for all integers n, by ~ = P~-I +~-2 ' Wo=a, Wi=b. (1.1)...
The purpose of this report is to analyze the properties of Fibonacci numbers modulo a Lucas numbers....
Abstract Algebraic independence of values of certain infinite products is proved, where the transcen...
AbstractThe main theorem of this paper, proved using Mahler's method, gives a necessary and sufficie...
A brief survey of identities about reciprocal sums of products of elements in a binary recurrence se...
AbstractIt is proved that the function Θ(z)=∑k⩾0zR0+R1+⋯+Rk(1−zR0)(1−zR1)⋯(1−zRk), which can be expr...
We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with fin...
Recently, interest has been shown in summing infinite series of reciprocals of Fibonacci numbers [1]...
We present some new kinds of sums of squares of Fibonomial coefficients with finite products of gene...
Abstract. We establish relations between reciprocal and alternating sums involv-ing generalized Luca...
We give a systematic approach to compute certain sums of squares Fibonomial coefficients with powers...
Sums of products of a fixed number of Fibonacci(-type) numbers can be computed automatically. This e...
Recently Nathaniel Shar presented a finite sum, involving the Fibonacci numbers, that generalizes a ...
Let G(z):=∑n⩾0z2n(1−z2n)−1 denote the generating function of the ruler function, and F(z):=∑n⩾z2n(1+...