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math.NT2013
Distribution of irrational zeta values
Stéphane Fischler
In this paper we refine Ball-Rivoal's theorem by proving that for any odd integer sufficiently large in terms of , there exist odd intege…
math.NT2013
Multiple zeta values, Padé approximation and Vasilyev's conjecture
Stephane Fischler, Tanguy Rivoal
Sorokin gave in 1996 a new proof that pi is transcendental. It is based on a simultaneous Padé approximation problem involving certain multiple polylogarithms, which evaluated at t…
math.NT2013
A converse to linear independence criteria, valid almost everywhere
Stéphane Fischler, Mumtaz Hussain, Simon Kristensen +1
We prove a weighted analogue of the Khintchine-Groshev Theorem, where the distance to the nearest integer is replaced by the absolute value. This is subsequently applied to proving…