We investigate the arithmetic of special values of a new class of L-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use these Anderson-Stark units to prove that L-functions can be expressed as sums of polylogarithms
International audienceIn 2012 Taelman proved a class formula for Drinfeld F_q[θ]-modules. For an arb...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
AbstractCharacter versions of the Poisson and Euler-Maclaurin summation formulas are derived. Instea...
International audienceWe show that the module of Stark units associated to a sign-normalized rank on...
ABSTRACT. We derive an identity for certain linear combinations of polylogarithm functions with nega...
International audienceWe show that the module of Stark units associated to a sign-normalized rank on...
25 pagesAnderson generating functions have received a growing attention in function field arithmetic...
We present new methods for the study of a class of generating functions introduced by the second aut...
Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function ...
In this paper we give a few explicit formulae for the dual coefficients and some of the root numbers...
AbstractAssume a polynomial f∈Fq[x, y] and an additive character ψ of Fq are given. From a set of ex...
Note:In this thesis, we study two topics concerning the analytic properties of automorphic L-functio...
We prove an algebraicity result for the central critical value of certain Rankin–Selberg L-functions...
25 pagesInternational audienceAnderson generating functions have received a growing attention in fun...
For arithmetic applications, we extend and refine our previously published results to allow ramifica...
International audienceIn 2012 Taelman proved a class formula for Drinfeld F_q[θ]-modules. For an arb...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
AbstractCharacter versions of the Poisson and Euler-Maclaurin summation formulas are derived. Instea...
International audienceWe show that the module of Stark units associated to a sign-normalized rank on...
ABSTRACT. We derive an identity for certain linear combinations of polylogarithm functions with nega...
International audienceWe show that the module of Stark units associated to a sign-normalized rank on...
25 pagesAnderson generating functions have received a growing attention in function field arithmetic...
We present new methods for the study of a class of generating functions introduced by the second aut...
Maximon has recently given an excellent summary of the properties of the Euler dilogarithm function ...
In this paper we give a few explicit formulae for the dual coefficients and some of the root numbers...
AbstractAssume a polynomial f∈Fq[x, y] and an additive character ψ of Fq are given. From a set of ex...
Note:In this thesis, we study two topics concerning the analytic properties of automorphic L-functio...
We prove an algebraicity result for the central critical value of certain Rankin–Selberg L-functions...
25 pagesInternational audienceAnderson generating functions have received a growing attention in fun...
For arithmetic applications, we extend and refine our previously published results to allow ramifica...
International audienceIn 2012 Taelman proved a class formula for Drinfeld F_q[θ]-modules. For an arb...
As a generalization of the Riemann zeta function, L-function has become one of the central objects i...
AbstractCharacter versions of the Poisson and Euler-Maclaurin summation formulas are derived. Instea...
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