Order of torsion for reduction of linearly independent points for a family of Drinfeld modules

نویسندگان

چکیده

Let q be a power of the prime number p , let K = F ( t ) and r ⩾ 2 an integer. For points b ∈ which are -linearly independent, we show that there exist positive constants N 0 c such for each integer ℓ generator τ / have all except values λ ‾ corresponding specializations cannot orders degrees less than log ⁡ as torsion Drinfeld module Φ : [ T ] ⟶ End G (where is additive group scheme), given by x + .

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ژورنال

عنوان ژورنال: Journal of Number Theory

سال: 2022

ISSN: ['0022-314X', '1096-1658']

DOI: https://doi.org/10.1016/j.jnt.2021.06.006