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Showing 2023 · math.NTShow all
3 papers · 2 filters
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.NT2023★ 3 cited
Distribution in coprime residue classes of polynomially-defined multiplicative functions
Paul Pollack, Akash Singha Roy
An integer-valued multiplicative function is said to be polynomially-defined if there is a nonconstant separable polynomial with for all pri…
math.NT2023★ 2 cited
Exceptional biases in counting primes over functions fields
Alexandre Bailleul, Lucile Devin, Daniel Keliher +1
We study how often exceptional configurations of irreducible polynomials over finite fields occur in the context of prime number races and Chebyshev's bias. In particular, we show…