Yazar "Kim, Daeyeoul" için listeleme
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Arithmetic convolution sums derived from eta quotients related to divisors of 6
İkikardeş, Nazlı Yıldız; Hwang, Jihyun; Kim, Daeyeoul (De Gruyter Poland SP Z O O, 2022)The aim of this paper is to find arithmetic convolution sums of some restricted divisor functions. When divisors of a certain natural number satisfy a suitable condition for modulo 12, those restricted divisor functions ... -
Bernoulli numbers and certain convolution sums with divisor functions
Kim, Daeyeoul; Kim, Aeran; İkikardeş, Nazlı Yıldız (Springer International Publishing Ag, 2013)In this paper, we investigate the convolution sums Sigma((a+b+c)x=n) a, Sigma(ax+by=n) ab, Sigma((ax+by+cz)x=n) abc, Sigma((ax+by+cz+du)x=n) abcd, where a, b, c, d, x, y, z, u, n is an element of N. Many new equalities ... -
Certain combinatoric bernoulli polynomials and convolution sums of divisor functions
Kim, Daeyeoul; İkikardeş, Nazlı Yıldız (Springer International Publishing AG, 2013)It is known that certain convolution sums can be expressed as a combination of divisor functions and Bernoulli formula. One of the main goals in this paper is to establish combinatoric convolution sums for the divisor sums ... -
Certain combinatoric convolution sums and their relations to bernoulli and euler polynomials
Kim, Daeyeoul; Bayad, Abdelmejid; İkikardeş, Nazlı Yıldız (Korean mathematıcal soc, 2015)In this paper, we give relationship between Bernoulli-Euler polynomials and convolution sums of divisor functions. First, we establish two explicit formulas for certain combinatoric convolution sums of divisor functions ... -
Certain combinatoric convolution sums arising from bernoulli and euler polynomials
Kim, Daeyeoul; Sarp, Ümit; İkikardeş, Sebahattin (Univ Miskolc Inst Math, 2019)In this study, we introduce the absolute Mobius divisor function U (n). According to some numerical computational evidence, we consider integer pairs (n, n + 1) satisfying; phi (n) = phi (n + 1) = U (n) = U (n + 1). ... -
Iterating the sum of mobius divisor function and Euler Totient Function
Kim, Daeyeoul; Sarp, Ümit; İkikardeş, Sebahattin (Mdpi, 2019)In this paper, according to some numerical computational evidence, we investigate and prove certain identities and properties on the absolute Mobius divisor functions and Euler totient function when they are iterated. ... -
Mutlak Möbius bölen fonksiyonu ve özellikleri
Sarp,Ümit (Balıkesir Üniversitesi Fen Bilimleri Enstitüsü, 2019)Bu tezde Dirichlet çarpımı yardımıyla bir toplam fonksiyonu olan Mutlak Möbius Bölen Fonksiyonu U(n) tanımlanmış ve özellikleri incelenmiştir. İlk olarak U(n) ve Euler Totient φ(n) Fonksiyonu arasındaki özellikler ... -
On the problem sigma(od)(n) = sigma(od)(n+1)
Kim, Daeyeoul; İkikardeş, Nazlı Yıldız; Li, Yan; Ma, Lianrong (Univ Nis, 2019)Let sigma(od)(n) = Sigma(d vertical bar n,2 inverted iota d) d. In this paper, we study the solutions of sigma(od)(n) = sigma(od)(n + 1), their relations to Pell numbers, and some interesting conjectures. Finally, we obtain ... -
Relations of Combinatoric Convolution Sums for restricted divisor functions and Bernoulli polynomials
Kim, Daeyeoul; İkikardeş, Nazlı Yıldız (Univ Miskolc Inst Math, 2021)In this paper, we study combinatoric convolution sums involving divisor functions. First, we establish some explicit formulas for certain combinatoric convolution sums of divisor functions derived from Bernoulli polynomials. ... -
The shifted odd divisor functions and divisor leaves model
In this research, modelling of the leaves with the help of divisor functions are worked on. Given a positive integer k (1 ? k ? 100), we investigate solutions of the equation ?(n) = ?(n + 2k) with odd square-free ...
