Lemmes de multiplicité associés aux groupes triangulaires de Riemann-Schwarz.

Federico Pellarin (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

In this article, we extend a multiplicity estimate of Nesterenko, valid for quasi-modular forms associated to $\SL_2(\ZZ)$, to non-holomorphic quasi-modular forms associated to certain co-compact Riemann-Schwarz triangular subgroups of $\SL_2(\CC)$.

Mots clés: Multiplicity estimates; quasi-modular forms

Domaines: Théorie des nombres [math.NT]

Federico Pellarin. Lemmes de multiplicité associés aux groupes triangulaires de Riemann-Schwarz.. Rendiconti del Seminario Matematico della Università di Padova, 2005, 114, pp.213-239. ⟨hal-00002270⟩