We prove sharp irrationality measures for a q-analogue of π and related q-series, and indicate open problems on linear and algebraic independence of the series that might be viewed as q-analogues of some classical mathematical constants
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
We generalize a previous result due to Badea relating to the irrationality of some quick convergent ...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
(To our friend Keijo Väänänen on the occasion of his sixtieth birthday) We prove sharp irrationality...
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...
The three main methods used in diophantine analysis of q-series are combined to obtain new upper bou...
AbstractUsing Padé approximations of Heine's q-hypergeometric series we obtain new irrationality mea...
We present a new proof of the irrationality of values of the series T<sub>q</sub>(z)= ∞/∑/n=0 z<sup>...
Abstract This dissertation consists of four articles on irrationality measures. In the first paper ...
For integer p, |p|>1, and generic rational x and z, we establish the irrationality of the series [fo...
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 ...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
Abstract. The new concept of an irrationality measure of sequences is introduced in this paper by me...
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
We generalize a previous result due to Badea relating to the irrationality of some quick convergent ...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
(To our friend Keijo Väänänen on the occasion of his sixtieth birthday) We prove sharp irrationality...
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...
The three main methods used in diophantine analysis of q-series are combined to obtain new upper bou...
AbstractUsing Padé approximations of Heine's q-hypergeometric series we obtain new irrationality mea...
We present a new proof of the irrationality of values of the series T<sub>q</sub>(z)= ∞/∑/n=0 z<sup>...
Abstract This dissertation consists of four articles on irrationality measures. In the first paper ...
For integer p, |p|>1, and generic rational x and z, we establish the irrationality of the series [fo...
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 ...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
Abstract. The new concept of an irrationality measure of sequences is introduced in this paper by me...
The thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
We generalize a previous result due to Badea relating to the irrationality of some quick convergent ...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
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