AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numbers an behave like a geometric progression for a while. The method is elementary, not using differentiation or integration. In particular, we derive elementary proofs of the irrationality of π and em for Gaussian integers m≠0
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractLet ξ be a real irrational number, and φ be a function (satisfying some assumptions). In thi...
AbstractAs part of a project on automatic generation of proofs involving both logic and computation,...
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...
Abstract In this paper we prove some general results which imply, for example, the irrationality of ...
In 1978, Apéry [2] proved the irrationality of ζ(3) by constructing two explicit sequences of integ...
We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric se...
This paper is centered around proving the irrationality of some common known real numbers. For sever...
We present a new proof of the irrationality of values of the series T<sub>q</sub>(z)= ∞/∑/n=0 z<sup>...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
1. Let Sen) be the Smarandache function. In paper [1] it is proved the irrationality of i S(7). We n...
A right of passage to theoretical mathematics is often a proof of the irrationality of√ 2, or at lea...
AbstractWe prove that the number τ=∑l=0∞dl/∏j=1l(1+djr+d2js), where d∈Z, |d|>1, and r,s∈Q, s≠0, are ...
We prove that if q is an integer greater than one and r is a non-zero rational (r≠−qm) then Σn=1∞ (1...
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractLet ξ be a real irrational number, and φ be a function (satisfying some assumptions). In thi...
AbstractAs part of a project on automatic generation of proofs involving both logic and computation,...
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...
Abstract In this paper we prove some general results which imply, for example, the irrationality of ...
In 1978, Apéry [2] proved the irrationality of ζ(3) by constructing two explicit sequences of integ...
We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric se...
This paper is centered around proving the irrationality of some common known real numbers. For sever...
We present a new proof of the irrationality of values of the series T<sub>q</sub>(z)= ∞/∑/n=0 z<sup>...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
1. Let Sen) be the Smarandache function. In paper [1] it is proved the irrationality of i S(7). We n...
A right of passage to theoretical mathematics is often a proof of the irrationality of√ 2, or at lea...
AbstractWe prove that the number τ=∑l=0∞dl/∏j=1l(1+djr+d2js), where d∈Z, |d|>1, and r,s∈Q, s≠0, are ...
We prove that if q is an integer greater than one and r is a non-zero rational (r≠−qm) then Σn=1∞ (1...
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractLet ξ be a real irrational number, and φ be a function (satisfying some assumptions). In thi...
AbstractAs part of a project on automatic generation of proofs involving both logic and computation,...
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