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- Institut Camille JordanFR136 papers
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- Centre National de la Recherche ScientifiqueFR5 papers
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- Psychiatric Medicine AssociatesUS3 papers
- Institut de Mathématiques de BourgogneFR2 papers
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- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Institut National des Sciences Appliquées de LyonFR2 papers
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5 papers · 1 filter
A problem around Mahler functions
Boris Adamczewski, Jason P. Bell
Let be a field of characteristic zero and and be two multiplicatively independent positive integers. We prove the following result that was conjectured by Loxton and va…
q-analogues of Ehrhart polynomials
Frédéric Chapoton
One considers weighted sums over points of lattice polytopes, where the weight of a point v is the monomial q^f(v) for some linear form f. One proposes a q-analogue of the classica…
On some pro-p groups from infinite-dimensional Lie theory
Inna Capdeboscq, Bertrand Remy
We initiate the study of some pro-p-groups arising from infinite-dimensional Lie theory. These groups are completions of some subgroups of incomplete Kac-Moody groups over finite f…
Sur une série en arbres à deux paramètres
Frédéric Chapoton
One defines a new tree-indexed series, with coefficients that are polynomials in x over the ring Q(q). Several special evaluations of this series are obtained, in particular when x…
Universal Gauss-Thakur sums and L-series
Bruno Angles, Federico Pellarin
In this paper we study the behavior of the function omega of Anderson-Thakur evaluated at the elements of the algebraic closure of the finite field with q elements F_q. Indeed, thi…