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42 papers · 1 filter
Improving Roth's theorem in the primes
Harald Andres Helfgott, Anne de Roton
Let A be a subset of the primes. Let δ_P(N) = \frac{|\{n\in A: n\leq N\}|}{|\{\text{ prime}: n\leq N\}|}. We prove that, if δ_P(N)\geq C \frac{\log \log \log N}{(\log \log N)^{1…
Structures immobilières pour un groupe de Kac-Moody sur un corps local
Cyril Charignon
In this study, we try to generalize Bruhat-Tits's theory to the case of a Kac-Moody group, that is to define an affine building for a Kac-Moody group over a local field. Actually,…
Le thème d'une période évanescente
Daniel Barlet
In this article we study holomorphic deformations of the filtered Gauss-Manin systems associated to a vanishing period integral. For that purpose we introduce a new sub-class of th…
Modelling a DR shaft operated with pure hydrogen using a physical-chemical and CFD approach
Andrea Ranzani Da Costa, D. Wagner, F. Patisson +1
The hydrogen-based route could be a valuable way to produce steel considering its low carbon dioxide emissions. In ULCOS, it is regarded as a long-term option, largely dependent on…
On modular signs
Emmanuel Kowalski, Yuk Kam Lau, Kannan Soundararajan +1
We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for…
Cônes nilpotents des super algèbres de Lie orthosymplectiques
Caroline Gruson, Séverine Leidwanger
We look at the odd nilpotent orbits of osp(2n+1,2n), giving a combinatorial interpretation which enables us, via the square map, to explain the link with even nilpotent orbits. We…