Add to ORKG(To our friend Keijo Väänänen on the occasion of his sixtieth birthday) 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
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
More than 150 years ago, E. Heine considered the series [formula unable to be reproduced here] and p...
We prove sharp irrationality measures for a q-analogue of π and related q-series, and indicate open ...
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...
Abstract This dissertation consists of four articles on irrationality measures. In the first paper ...
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>...
For integer p, |p|>1, and generic rational x and z, we establish the irrationality of the series [fo...
Abstract. The new concept of an irrationality measure of sequences is introduced in this paper by me...
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
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 thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
More than 150 years ago, E. Heine considered the series [formula unable to be reproduced here] and p...
We prove sharp irrationality measures for a q-analogue of π and related q-series, and indicate open ...
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...
Abstract This dissertation consists of four articles on irrationality measures. In the first paper ...
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>...
For integer p, |p|>1, and generic rational x and z, we establish the irrationality of the series [fo...
Abstract. The new concept of an irrationality measure of sequences is introduced in this paper by me...
There the paper has been devoted to study the arithmetic properties of E- and G-functions in rationa...
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 thesis deals with the irrationality, irrational sequences, linearly independent sums of series a...
AbstractLet σk(n) denote the sum of the k-th powers of the positive divisors of n. Erdős and Kac con...
The irrationality exponent a of a real number x is the supremum of the set of real numbers z for whi...
More than 150 years ago, E. Heine considered the series [formula unable to be reproduced here] and p...