13 citations · 37 across the 8 of their papers we have counts for
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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 $\…
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…
A few remarks on linear forms involving Catalan's constant
Wadim Zudilin
In the joint work of T.Rivoal and the author, a hypergeometric construction was proposed for studing arithmetic properties of the values of Dirichlet's beta function at even…
Diophantine problems for q-zeta values
Wadim Zudilin
A motivated q-extension of the values of the Riemann zeta function at positive integers is presented. Several irrationality and transcendence results as well as new general problem…
A third-order Apery-like recursion for
Wadim Zudilin
In 1978, Apery has given sequences of rational approximations to and yielding the irrationality of each of these numbers. One of the key ingredient of Apery's proof a…
Arithmetic of linear forms involving odd zeta values
Wadim Zudilin
A general hypergeometric construction of linear forms in (odd) zeta values is presented. The construction allows to recover the records of Rhin and Viola for the irrationality meas…