9 citations · 16 across the 5 of their papers we have counts for
5 papers
An essay on irrationality measures of pi and other logarithms
Wadim Zudilin
We present a brief survey of the methods used in deducing upper estimates for irrationality measures of the logarithm values. We particularly expose the best known estimates for $\…
Binomial sums related to rational approximations to
Wadim Zudilin
For the solution to the polynomial recursion , where , with the init…
On a combinatorial problem of Asmus Schmidt
Wadim Zudilin
For any integer , define a sequence of numbers , independent of the parameter , by $$ \sum_{k=0}^n{\binom nk}^r{\binom{n+k}k}^r =\sum_{k=0}^n\…
Séries hypergéométriques basiques, -analogues des valeurs de la fonction zêta et séries d'Eisenstein
C. Krattenthaler, T. Rivoal, W. Zudilin
Nous étudions la nature arithmétique de -analogues des valeurs de la fonction zêta de Riemann, notamment des valeurs des fonctions $ζ_q(s)= \sum_{k=1} ^{\infty}q^k \sum_{…
Well-poised generation of Apéry-like recursions
Wadim Zudilin
The idea to use classical hypergeometric series and, in particular, well-poised hypergeometric series in diophantine problems of the values of the polylogarithms has led to several…