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4 papers · 1 filter
Fonctions constructibles exponentielles, transformation de Fourier motivique et principe de transfert
R. Cluckers, F. Loeser
We introduce spaces of exponential constructible functions in the motivic setting for which we construct direct image functors in the absolute and relative cases. This allows us to…
Second order average estimates on local data of cusp forms
Farrell Brumley
We specify sufficient conditions for the square modulus of the local parameters of a family of GL(n) cusp forms to be bounded on average. These conditions are global in nature and…
Demonstration de la conjecture de Dumont
Bodo Lass
Dumont has conjectured a marvellous identity, which generalizes, in particular, the classical results of Lagrange, Gauss, Jacobi and Kronecker on the sums of two, three and four sq…
Around Pelikan's conjecture on very odd sequences
Pieter Moree, Patrick Sole
Very odd sequences were introduced in 1973 by J. Pelikan who conjectured that there were none of length >=5. This conjecture was disproved by MacWilliams and Odlyzko in 1977 who pr…