Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ON ζ-FACTORS AND COMPUTING STRUCTURES IN CYCLIC n-ROOTS

  • Sabeti, Rostam (Great Lakes Association for Algebra and Computation (GLAAC), A Formation for Elite college students in the State of Michigan)
  • Received : 2021.06.01
  • Accepted : 2022.05.03
  • Published : 2022.06.30
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Abstract

In this paper, we introduce a new concept in number theory called ζ-factors associated with a positive integer n. Applications of ζ-factors are in the arrangement of the defining polynomials in cyclic n-roots algebraic system and are thoroughly investigated. More precisely, ζ-factors arise in the proofs of vanishing theorems in regard to associated prime factors of the system. Exact computations through concrete examples of positive dimensions for n = 16, 18 support the results.

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Acknowledgement

I am grateful to the anonymous referees for their invaluable comments.

References

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