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Kummer congruences in formal groups and algebraic groups of dimension one. (English) Zbl 0578.14041
The author relates the existence of Kummer-type congruences for the coefficients of a power series \(f(t)\) to the existence of congruences among the coefficients of the invariant differential on a 1-dimensional formal group deduced from \(f(t)\). He then shows how Kummer-type congruences arise from rational functions on algebraic curves.
Reviewer: F.Baldassarri

MSC:
14L05 Formal groups, \(p\)-divisible groups
13F25 Formal power series rings
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