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arXiv · 0907.4507

Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms

Federico Pellarin
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Abstract

We introduce and study certain deformations of Drinfeld quasi-modular forms by using rigid analytic trivialisations of corresponding Anderson's t-motives. We show that a sub-algebra of these deformations has a natural graduation by the group Z^2 x Z/(q-1)Z and an homogeneous automorphism, and we deduce from this and other properties multiplicity estimates.

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Federico Pellarin. 2009-07-26. Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms. https://doi.org/10.1515/crelle-2012-0048, june 2012

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