249 citations · 1.5k across the 98 of their papers we have counts for
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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…
Multiple-integral representations of very-well-poised hypergeometric series
Wadim Zudilin
A new multiple-integral representation of a general family of very-well-poised hypergeometric series is proved. Inspite of an analytic character of the result, it is motivated by t…
An elementary proof of Apery's theorem
Wadim Zudilin
We present a new `elementary' proof of the irrationality of based on some recent `hypergeometric' ideas of Yu.Nesterenko, T.Rivoal, and K.Ball, and on Zeilberger's algorithm…