1,137 research outputs found

    Gauss-Manin connections for p-adic families of nearly overconvergent modular forms

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    We interpolate the Gauss-Manin connection in p-adic families of nearly overconvergent modular forms. This gives a family of Maass-Shimura type differential operators from the space of nearly overconvergent modular forms of type r to the space of nearly overconvergent modular forms of type r + 1 with p-adic weight shifted by 2. Our construction is purely geometric, using Andreatta-Iovita-Stevens and Pilloni's geometric construction of eigencurves, and should thus generalize to higher rank groups.Comment: Final version accepted for publication in the Annales de l'Institut Fourier. Minor revisions. 11 page

    The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields

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    For n=3n=3, 4, and 5, we prove that, when SnS_n-number fields of degree nn are ordered by their absolute discriminants, the lattice shapes of the rings of integers in these fields become equidistributed in the space of lattices.Comment: 12 page

    Solar power satellite cost estimate

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    The solar power configuration costed is the 5 GW silicon solar cell reference system. The subsystems identified by work breakdown structure elements to the lowest level for which cost information was generated. This breakdown divides into five sections: the satellite, construction, transportation, the ground receiving station and maintenance. For each work breakdown structure element, a definition, design description and cost estimate were included. An effort was made to include for each element a reference that more thoroughly describes the element and the method of costing used. All costs are in 1977 dollars

    On Greenberg's LL-invariant of the symmetric sixth power of an ordinary cusp form

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    We derive a formula for Greenberg's LL-invariant of Tate twists of the symmetric sixth power of an ordinary non-CM cuspidal newform of weight 4\geq4, under some technical assumptions. This requires a "sufficiently rich" Galois deformation of the symmetric cube which we obtain from the symmetric cube lift to \GSp(4)_{/\QQ} of Ramakrishnan--Shahidi and the Hida theory of this group developed by Tilouine--Urban. The LL-invariant is expressed in terms of derivatives of Frobenius eigenvalues varying in the Hida family. Our result suggests that one could compute Greenberg's LL-invariant of all symmetric powers by using appropriate functorial transfers and Hida theory on higher rank groups.Comment: 20 pages, submitte

    Mütareke yıllarında İstanbul'da hayat

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    Taha Toros Arşivi, Dosya No: 173-Malta Sürgünler
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