16 citations · 71 across the 24 of their papers we have counts for
26 papers
Lidstone interpolation I. One variable
Michel Waldschmidt
According to Lidstone interpolation theory, an entire function of exponential type is determined by it derivatives of even order at and . This theory can be generalized…
Number of integers represented by families of binary forms
Étienne Fouvry, Michel Waldschmidt
We extend our previous results on the number of integers which are values of some cyclotomic form of degree larger than a given value (see \cite{FW1}), to more general families of…
On entire functions of several variables with derivatives of even order taking integer values
Michel Waldschmidt
We extend to several variables an earlier result of ours, according to which an entire function of one variable of sufficiently small exponential type, having all derivatives of ev…
On sets of linear forms of maximal complexity
Michael Kaminski, Igor E. Shparlinski, Michel Waldschmidt
We present a uniform description of sets of linear forms in variables over the field of rational numbers whose computation requires additions.
Integer--valued functions, Hurwitz functions and related topics: a survey
Michel Waldschmidt
An integer--valued function is an entire function which maps the nonnegative integers to the integers. An example is . A Hurwitz function is an entire function hav…
On transcendental entire functions with infinitely many derivatives taking integer values at several points
Michel Waldschmidt
Let be complex numbers and rational integers in the range . Our first goal is to prove that if an entire function o…