no. 2
On the characteristic power series of the U operator
Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 301-312.

Soit A m (k) le coefficient m-ième de la série puissance caractéristique de l’opérateur U de Atkin agissant sur l’espace de formes modulaires p-adiques surconvergentes de poids k (k entier). Nous montrons que les fonctions a m (k) sont p-adiquement continues en k. Sont-elles des fonctions de Type Iwasawa en k ?

We show that the coefficients of the characteristic power series of Atkin’s U operator acting on overconvergent p-adic modular forms of weight k vary p-adically continuously as functions of k. Are they in fact Iwasawa functions of k ?

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     title = {On the characteristic power series of the {U} operator},
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Gouvêa, Fernando Q.; Mazur, Barry. On the characteristic power series of the U operator. Annales de l'Institut Fourier, Tome 43 (1993) no. 2, pp. 301-312. doi : 10.5802/aif.1332. https://aif.centre-mersenne.org/articles/10.5802/aif.1332/

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