Geodesic
Analytic continuation of overconvergent eigenforms
Buzzard, Kevin1
1 Department of Mathematics, Imperial College, Huxley Building, 180 Queen’s Gate, London SW7 2B2, England
Journal of the American Mathematical Society, Tome 16 (2003) no. 1, pp. 29-55

Voir la notice de l'article provenant de la source American Mathematical Society

Let $f$ be an overconvergent $p$-adic eigenform of level $Np^r$, $r\geq 1$, with non-zero $U_p$-eigenvalue. We show how $f$ may be analytically continued to a subset of $X_1(Np^r)^{\mathrm {an}}$ containing, for example, all the supersingular locus. Using these results we extend the main theorem of our earlier work with R. Taylor to many ramified cases.
DOI : 10.1090/S0894-0347-02-00405-8

Buzzard, Kevin 1

1 Department of Mathematics, Imperial College, Huxley Building, 180 Queen’s Gate, London SW7 2B2, England 
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Buzzard, Kevin. Analytic continuation of overconvergent eigenforms. Journal of the American Mathematical Society, Tome 16 (2003) no. 1, pp. 29-55. doi: 10.1090/S0894-0347-02-00405-8

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