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August 17, 2025Open Access

On the irreducibility of the non-cyclotomic part of most 0,1-polynomials with few terms

Michael Filaseta Alexandros Kalogirou

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Key Points

The polynomial F(x) shows irreducibility for almost all positive integer choices of n1, …, nk.
Consideration of cyclotomic factors leads to insights about the structure of polynomials.
The results build on previous findings from Schinzel, expanding the understanding of polynomial behavior.
The investigation focuses on specific cases of 0,1-polynomials that are important in number theory.

Implication

Analysis reveals irreducibility of polynomials in positive integers, highlighting cyclotomic factors' role.

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Cite This Study

Filaseta et al. (2025) studied this question.

synapsesocial.com/papers/68d6e1978b2b6861e4c404a1 https://doi.org/10.48550/arxiv.2508.12242

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