Abstract
In this paper, we prove that there exist entire functions which determines the splitting behavior of polynomials at prime. First, to any monic irreducible polynomial and any prime $p$, we associate a function defined on the set of primes which determines whether the polynomial splits completely at $p$ or not. Then we extend them to entire functions.
Citation
Hajime Kuroiwa. "A family of entire functions which determines the splitting behavior of polynomials at primes." Hiroshima Math. J. 41 (3) 409 - 411, November 2011. https://doi.org/10.32917/hmj/1323700042
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