Building Three-Variable Homogeneous Integer-Valued Polynomials Using Generalized Projective Planes

Marie MacDonald ()
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Marie MacDonald: Cornell University, Department of Mathematics

A chapter in Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, 2023, pp 343-350 from Springer

Abstract: Abstract This work will present a method for constructing homogeneous integer-valued polynomials f∕pk with f ∈ ℤ [ x , y , z ] $$f\in \mathbb {Z}[x,y,z]$$ a product products of linear factors, with p a prime and k large relative to the degree of f. This is accomplished by connecting this problem to the older geometric problem of finding coverings of generalized projective planes by families of lines.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-28847-0_18

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DOI: 10.1007/978-3-031-28847-0_18

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