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math.NT2023
Functional degrees and arithmetic applications III: Beyond Prime Exponent
Pete L. Clark, Uwe Schauz
Continuing our work on group-theoretic generalizations of the prime Ax-Katz Theorem, we give a lower bound on the -adic divisibility of the cardinality of the set of simultaneou…
math.GR2023★ 1 cited
Functional degrees and arithmetic applications II: The Group-Theoretic Prime Ax-Katz Theorem
Pete L. Clark, Uwe Schauz
We give a version of Ax-Katz's -adic congruences and Moreno-Moreno's -weight refinement that holds over any finite commutative ring of prime characteristic. We deduce this fr…