Geodesic
Effective rigid analytic trivializations for Drinfeld modules
Canadian journal of mathematics, Tome 75 (2023) no. 3, pp. 713-742

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DOI

We develop tools for constructing rigid analytic trivializations for Drinfeld modules as infinite products of Frobenius twists of matrices, from which we recover the rigid analytic trivialization given by Pellarin in terms of Anderson generating functions. One advantage is that these infinite products can be obtained from only a finite amount of initial calculation, and consequently we obtain new formulas for periods and quasi-periods, similar to the product expansion of the Carlitz period. We further link to results of Gekeler and Maurischat on the $\infty $-adic field generated by the period lattice.
DOI : 10.4153/S0008414X22000153
Mots-clés : Drinfeld modules, rigid analytic trivializations, Anderson generating functions, t-division sequences, periods, quasi-periods, infinite product expansions 
Khaochim, Chalinee; Papanikolas, Matthew A. Effective rigid analytic trivializations for Drinfeld modules. Canadian journal of mathematics, Tome 75 (2023) no. 3, pp. 713-742. doi: 10.4153/S0008414X22000153
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     title = {Effective rigid analytic trivializations for {Drinfeld} modules},
     journal = {Canadian journal of mathematics},
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     year = {2023},
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