Ideal factorization method and its applications

Kurt S., Yayla O.

3rd International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering, AMINSE 2017, Tbilisi, Gürcistan, 7 - 09 Aralık 2017, cilt.276, ss.149-160 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 276
  • Doi Numarası: 10.1007/978-3-030-10419-1_9
  • Basıldığı Şehir: Tbilisi
  • Basıldığı Ülke: Gürcistan
  • Sayfa Sayıları: ss.149-160
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

© Springer Nature Switzerland AG 2019.In this work the unsolvability of certain equations is studied in the case of cyclotomic number fields whose ring of integers is not a principal ideal domain. Winterhof et al. considered the equations for (Formula presented). We first extend this result to (Formula presented) by using a new method from algebraic number theory. Then we present its applications to ᵧ -Butson-Hadamard matrices, ᵧ -Conference matrices and type ᵧ nearly perfect sequences for (Formula presented).