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- W4366437254 abstract "Let L be a finite extension of the rational function field in one variable over a finite field Fq and E be a Drinfeld module defined over L. Given finitely many elements in E(L), this paper aims to prove that linear relations among these points can be characterized by solutions of an explicitly constructed system of homogeneous linear equations over Fq[t]. As a consequence, we show that there is an explicit upper bound for the size of the generators of linear relations among these points. This result can be regarded as an analogue of a theorem of Masser for finitely many K-rational points on an elliptic curve defined over a number field K." @default.
- W4366437254 created "2023-04-21" @default.
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- W4366437254 date "2023-06-01" @default.
- W4366437254 modified "2023-10-18" @default.
- W4366437254 title "Linear equations on Drinfeld modules" @default.
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- W4366437254 doi "https://doi.org/10.1016/j.aim.2023.109039" @default.
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