We present a new proof of the irrationality of values of the series T<sub>q</sub>(z)= ∞/∑/n=0 z<sup>n</sup>q<sup>-n(n-1)/2</sup> in both qualitative and quantitative forms. The proof is based on a hypergeometric construction of rational approximations to T<sub>q</sub>(z)
have proved the irrationality of L-,-. n=l n. The author of this note [5] showed that this is a cons...
1. Let Sen) be the Smarandache function. In paper [1] it is proved the irrationality of i S(7). We n...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
AbstractThe study of irrationality properties of values of the generalized Tschakaloff series f(x) d...
AbstractArithmetical properties of values of the entire functionTq(x)=∑∞n=0xn/q(1/2)n(n+1), whereqis...
We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric se...
AbstractUsing WZ pairs, Apéry-style proofs of the irrationality of theq-analogues of the Harmonic se...
We prove sharp irrationality measures for a q-analogue of π and related q-series, and indicate open ...
AbstractUsing Padé approximations of Heine's q-hypergeometric series we obtain new irrationality mea...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
The three main methods used in diophantine analysis of q-series are combined to obtain new upper bou...
For integer p, |p|>1, and generic rational x and z, we establish the irrationality of the series [fo...
Abstract This dissertation consists of four articles on irrationality measures. In the first paper ...
The main results of this paper give several criteria for certain infinite series of rational numbers...
We will describe a method for proving that a given real number is irrational. It amounts to construc...
have proved the irrationality of L-,-. n=l n. The author of this note [5] showed that this is a cons...
1. Let Sen) be the Smarandache function. In paper [1] it is proved the irrationality of i S(7). We n...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
AbstractThe study of irrationality properties of values of the generalized Tschakaloff series f(x) d...
AbstractArithmetical properties of values of the entire functionTq(x)=∑∞n=0xn/q(1/2)n(n+1), whereqis...
We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric se...
AbstractUsing WZ pairs, Apéry-style proofs of the irrationality of theq-analogues of the Harmonic se...
We prove sharp irrationality measures for a q-analogue of π and related q-series, and indicate open ...
AbstractUsing Padé approximations of Heine's q-hypergeometric series we obtain new irrationality mea...
AbstractIn this paper we give irrationality results for numbers of the form ∑n=1∞ann! where the numb...
The three main methods used in diophantine analysis of q-series are combined to obtain new upper bou...
For integer p, |p|>1, and generic rational x and z, we establish the irrationality of the series [fo...
Abstract This dissertation consists of four articles on irrationality measures. In the first paper ...
The main results of this paper give several criteria for certain infinite series of rational numbers...
We will describe a method for proving that a given real number is irrational. It amounts to construc...
have proved the irrationality of L-,-. n=l n. The author of this note [5] showed that this is a cons...
1. Let Sen) be the Smarandache function. In paper [1] it is proved the irrationality of i S(7). We n...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
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