DOI QR코드

DOI QR Code

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)
  • 투고 : 2021.06.01
  • 심사 : 2022.05.03
  • 발행 : 2022.06.30

초록

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.

키워드

과제정보

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

참고문헌

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  3. R. Sabeti, Scheme of cyclic 9-roots. A heuristic numerical-symbolic approach, Bull. Math. Soc. Sci. Math. Roum. Tome 58 (106) (2015), 199-209.
  4. R. Sabeti, Polynomial expressions for non-binomial structures, Theo. Compu. Sci. Vol. 762 (2019), 13-24. https://doi.org/10.1016/j.tcs.2018.10.020