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Showing 1 to 4 of 4 for “"hilbert modular form"”.

  1. p-adic Heights of Heegner points on Shimura curves

    Let f be a primitive Hilbert modular form of weight 2 and level N for the totally real field F, and let p be an odd rational prime such that f is ordinary at all primes dividing p. When E is a CM extension of F of relative discriminant prime to Np, we give an explicit construction of the p-adic …

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  2. Hilbert modular forms for the fields Q( 5), Q( 13) and Q( 17)

    More than a 100 years ago David Hilbert gave his drafts of a new type of functions of several complex variables to his student Ludwig Otto Blumenthal, who made them the foundation of his Habilschrift "Über Modulfunktionen von mehreren Veränderlichen". Hilbert had investigated both the theory of …

    aachen Repository record for Hilbert modular forms for the fields Q( 5), Q( 13) and Q( 17) (opens in a new tab)

  3. Lineare Unabhängigkeit von Hermiteschen Modulformen

    In the theory of modular forms it is desired to be able to validate the linear independance of modular forms by calculation. Normally, this is done by the calculation of the Fourier coefficients of the modular forms. In general, no exact bounds are known for the number of Fourier coefficients that …

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  4. OVERCONVERGENT MODULAR AND DE RHAM SHEAVES AND P-ADIC ITERATION OF THE GAUSS-MANIN CONNECTION

    … on overconvergent sheaves of de Rham classes on Hilbert modular varieties in the case p is unramified in the totally real field. This is a generalization of the work of Andreatta-Iovita in the case of elliptic curves, using a technique that marks an improvement on their approach in terms of …

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