Nouvelles relations de réciprocité entre sommes d'Euler

[2] Julian Havil, Gamma, Exploring Euler’s Constant, Princeton Science Library, 2003.

The goal of this section is, for any associator and for the particular case of Φ KZ , to give an explicit expression for the relations between the coefficients derived from

After laying out the general background (Section 1.1 ), we give a review of (Section 1.2 ) Anderson A-modules, (Section 1.3 ) Tensor powers of sign-normalized rank 1

(1) First, by using a motivic interpretation of MZV’s due to Anderson and Thakur in [ 4 ] and the Anderson-Brownawell-Papanikolas criterion for linear independence in

Abstract. Zeta values in Tate algebras were introduced by Pellarin in 2012. They are generalizations of Carlitz zeta values and play an increasingly impor- tant role in function

While the main technique used in this article is based on the evaluation of a parameter derivative of a beta-type integral, we also show how new integration results involving

While applying parameter derivatives to classical hypergeometric identities only produces specific results on harmonic summations containing squared central binomial coefficients as

Several years ago, we introduced a method based on the Ramanujan summation of series which enabled us to generate a number of interesting identities linking together Cauchy