5 citations · 25 across the 17 of their papers we have counts for
19 papers
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…
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…
, of Anderson t-motives, systems of affine equations and non-commutative determinants
A. Grishkov, D. Logachev
The authors defined in " for Anderson t-motives" the notion of an affine equation associated to a t-motive . Here we define two systems of affine equations associate…
Explicit statement of a conjecture on resultantal varieties
Stefan Ehbauer, Aleksandr Grishkov, Dmitry Logachev
The paper [GLZ] "L-functions of Carlitz modules, resultantal varieties and rooted binary trees" is devoted to a description of some resultantal varieties related to L-functions of…
Reductions of Hecke correspondences on Anderson modular objects
Aleksandr Grishkov, Dmitry Logachev
We formulate some properties of a conjectural object parametrizing Anderson t-motives of dimension and rank . Namely, we give formulas for $\goth p$-Hecke cor…
Introduction to Anderson t-motives: a survey
A. Grishkov, D. Logachev
This is a survey on Anderson t-motives -- high-dimensional generalizations of Drinfeld modules. They are the functional field analogs of abelian varieties with multiplication by an…