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

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

2009-07-26

arxiv.org/abs/0907.4507v3

Mathematics

Number Theory

Scientific paper

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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