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Finding special factors of values of polynomials at integer points (2016)
Journal Article
Badziahin, D. (2017). Finding special factors of values of polynomials at integer points. International Journal of Number Theory, 13(01), 209-228. https://doi.org/10.1142/s1793042117500129

We investigate the divisors dd of the numbers P(n)P(n) for various polynomials P∈Z[x]P∈ℤ[x] such that d≡1(modn)d≡1(modn). We obtain the complete classification of such divisors for a class of polynomials, in particular for P(x)=x4+1P(x)=x4+1. We also... Read More about Finding special factors of values of polynomials at integer points.