Articles with "polynomial units" as a keyword



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On the addition of values of a quadratic polynomial at units modulo n

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Published in 2020 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-020-01067-w

Abstract: Let $$\mathbb{Z}_{n}$$ be the ring of residue classes modulo n, $$\mathbb{Z}_{n}^{*}$$ be its unit group, and let $$f(z)=az^{2}+bz$$ be an integral quadratic polynomial with $$b\neq0$$ and $${\rm gcd}(a,b)=1$$ . In this paper, for any integer… read more here.

Keywords: polynomial units; values quadratic; units modulo; addition values ... See more keywords