3 papers
math.CA2026
Rational approximation to the Hurwitz-Lerch zeta function
Marc Prevost
The main result of this paper is the construction of new sequences of rational approximations to the Lerch function. This construction is based on a generalization of the "remainde…
math.NA2017
Remainder Padé approximants for the Hurwitz zeta function
Marc Prévost
Following our earlier research, we use the method introduced by the author in \cite{prevost1996} named Remainder Padé Approximant in \cite{rivoalprevost}, to construct approximatio…
math.NT2005
A family of criteria for irrationality of Euler's constant
Marc Prévost
Following earlier results of Sondow, we propose another criterion of irrationality for Euler's constant . It involves similar linear combinations of logarithm numbers …