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math.NT2025
Analytic ranks of twists of Carlitz modules -- a survey of results
A. Grishkov, D. Logachev
We give in this paper a survey of results obtained in our earlier papers, and state explicitly some problems of further research, for example: are the analytic ranks bounded, or no…
math.NT2024
Non-injectivity of the lattice map for non-mixed Anderson t-motives, and a result towards its surjectivity
A. Grishkov, D. Logachev
Let be an uniformizable Anderson t-motive and its lattice. First, we prove by an explicit construction that for the non-mixed the lattice map is not…