Identities for a Special Finite Sum Related to the Dedekind Sums and Fibonacci Numbers

Elif Çetin

Makale detayları

Identities for a Special Finite Sum Related to the Dedekind Sums and Fibonacci Numbers

Yazarlar:

Elif Çetin

Yayıncı:

Gazi University

Ana Başlıklar:

Numerical and Computational Mathematics (Other)

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 2, pp.232-240

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001292854

pISSN:

2147-9542

Anahtar kelimeler:

Özet:

 The origin of this article is to achieve original equations related to the special finite sum Cμ,β;1, which is connected with Dedekind, Hardy, Simsek, and many other finite sums. By using the analytic properties of this sum, many useful identities are established between the Cμ,β;1 sum and other well-known finite sums. Through the use of these identities, the reciprocity law of this sum is obtained. Furthermore, another reciprocity law of the sum Cμ,β;1 is presented for μ and β are particular Fibonacci numbers. This remarkable result establishes a connection between number theory and analysis.

 The origin of this article is to achieve original equations related to the special finite sum Cμ,β;1, which is connected with Dedekind, Hardy, Simsek, and many other finite sums. By using the analytic properties of this sum, many useful identities are established between the Cμ,β;1 sum and other well-known finite sums. Through the use of these identities, the reciprocity law of this sum is obtained. Furthermore, another reciprocity law of the sum Cμ,β;1 is presented for μ and β are particular Fibonacci numbers. This remarkable result establishes a connection between number theory and analysis.

 The origin of this article is to achieve original equations related to the special finite sum Cμ,β;1, which is connected with Dedekind, Hardy, Simsek, and many other finite sums. By using the analytic properties of this sum, many useful identities are established between the Cμ,β;1 sum and other well-known finite sums. Through the use of these identities, the reciprocity law of this sum is obtained. Furthermore, another reciprocity law of the sum Cμ,β;1 is presented for μ and β are particular Fibonacci numbers. This remarkable result establishes a connection between number theory and analysis.

 The origin of this article is to achieve original equations related to the special finite sum Cμ,β;1, which is connected with Dedekind, Hardy, Simsek, and many other finite sums. By using the analytic properties of this sum, many useful identities are established between the Cμ,β;1 sum and other well-known finite sums. Through the use of these identities, the reciprocity law of this sum is obtained. Furthermore, another reciprocity law of the sum Cμ,β;1 is presented for μ and β are particular Fibonacci numbers. This remarkable result establishes a connection between number theory and analysis.

Makale detayları

Identities for a Special Finite Sum Related to the Dedekind Sums and Fibonacci Numbers

Yazarlar:

Elif Çetin

Yayıncı:

Gazi University

Ana Başlıklar:

Numerical and Computational Mathematics (Other)

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 2, pp.232-240

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001292854

pISSN:

2147-9542

Hardy Sums

Dedekind Sums

Simsek Sums

Fibonacci Numbers

Sayı

Makale detayları

Identities for a Special Finite Sum Related to the Dedekind Sums and Fibonacci Numbers

Yazarlar: Elif Çetin

Yayıncı: Gazi University

Ana Başlıklar: Numerical and Computational Mathematics (Other)

Dergi: Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 2, pp.232-240

Belge Tipi: Makale

Yayın Tarihi: 6/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001292854

pISSN: 2147-9542

Hardy Sums

Dedekind Sums

Simsek Sums

Fibonacci Numbers

Sayı

Yazarlar:

Elif Çetin

Yayıncı:

Gazi University

Ana Başlıklar:

Numerical and Computational Mathematics (Other)

Dergi:

Gazi University Journal of Science Part A: Engineering and Innovation Vol.10 Issue 2, pp.232-240

Belge Tipi:

Makale

Yayın Tarihi:

6/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001292854

pISSN:

2147-9542