Multivariate Lucas polynomials and ideal classes in  quadratic number fields

Ayberk ZEYTİN

Makale detayları

Multivariate Lucas polynomials and ideal classes in quadratic number fields

Yazarlar:

Ayberk ZEYTİN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1543-1555

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745807

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this work, by using Pauli matrices, we introduce four families of polynomials indexed over the positive integers. These polynomials have rational or imaginary rational coefficients. It turns out that two of these families are closely related to classical Lucas and Fibonacci polynomial sequences and hence to Lucas and Fibonacci numbers. We use one of these families to give a geometric interpretation of the 200-year-old class number problems of Gauß, which is equivalent to the study of narrow ideal classes in real quadratic number fields.

Makale detayları

Multivariate Lucas polynomials and ideal classes in quadratic number fields

Yazarlar: Ayberk ZEYTİN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1543-1555

Belge Tipi: Makale

Yayın Tarihi: 7/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745807

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Ayberk ZEYTİN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 4, pp.1543-1555

Belge Tipi:

Makale

Yayın Tarihi:

7/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745807

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098