3 papers
math.NT2019
Remarks on an interpolation between Wilson's theorem and Giuga's conjecture
Thomas Sauvaget
A family of congruences interpolating between those of Wilson and Giuga is constructed. Several elementary results are established, in order to present a possible approach to estab…
math.NT2016
A formula for (2n + 1) and some related expressions
Thomas Sauvaget
Using a polylogarithmic identity, we express the values of at odd integers as integrals over unit dimensional hypercubes of simple functions involving products of lo…
math.NT2011
Retraction of 'Elementary proof of the Giuga-Agoh conjecture'
Thomas Sauvaget
An elementary gap in the proof of corollary 2.2 was found, the claim in the first version of the paper is thus retracted.