Geodesic
Analytic continuation of overconvergent eigenforms
Buzzard, Kevin1
1Department 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 
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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