Corpus ID: 237940983

Bhargava factorials and irreducibility of integer-valued polynomials

  title={Bhargava factorials and irreducibility of integer-valued polynomials},
  author={Devendra Prasad},
  • D. Prasad
  • Published 27 September 2021
  • Mathematics
The ring of integer-valued polynomials over a given subset S of Z (or Int(S,Z)) is defined as the set of polynomials in Q[x] which maps S to Z. In factorization theory, it is crucial to check the irreducibility of a polynomial. In this article, we make Bhargava factorials our main tool to check the irreducibility of a given polynomial f ∈ Int(S,Z)). We also generalize our results to arbitrary subsets of a Dedekind domain. 


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