• Kyungpook Mathematical Journal
• /
• v.48 no.2
• /
• pp.241-254
• /
• 2008

We define the crosscap number of a 2-component link as the minimum of the first Betti numbers of connected, non-orientable surfaces bounding the link. We discuss some properties of the crosscap numbers of 2-component links.

• Bulletin of the Korean Mathematical Society
• /
• v.43 no.1
• /
• pp.213-223
• /
• 2006

In this paper we establish the Marcinkiewicz-Zygmund strong law of large numbers for blockwise adapted sequences. Some related results are considered.

• Communications of the Korean Mathematical Society
• /
• v.16 no.4
• /
• pp.595-606
• /
• 2001

Using p-adic class number formula, we derive a congru-ence relation for class numbers of the simplest cubic fields which can be considered as a cubic analogue of Ankeny-Artin-Chowlas theo-rem, Furthermore, we give an elementary proof for an upper bound for the class numbers of the simplest cubic fields.

• Journal of applied mathematics & informatics
• /
• v.40 no.5_6
• /
• pp.1003-1019
• /
• 2022

In this paper, by using the multiple fermionic p-adic integrals, we obtain Kummer-type congruences for the higher order Euler numbers and polynomials.

• Communications of the Korean Mathematical Society
• /
• v.38 no.1
• /
• pp.89-96
• /
• 2023

Edgar obtained an identity between Fibonacci and Lucas numbers which generalizes previous identities of Benjamin-Quinn and Marques. Recently, Dafnis provided an identity similar to Edgar's. In the present article we give some generalizations of Edgar's and Dafnis's identities.

• Journal of applied mathematics & informatics
• /
• v.41 no.3
• /
• pp.591-601
• /
• 2023

In this note, we give a proof of the p-adic analogue of mild generalization of classical zeta functions by modifying Osipov's method. In addition, we obtain some identities for the p-adic integration, from which, some classical formulas for Euler numbers and polynomials have been deduced.

• Journal of Applied and Pure Mathematics
• /
• v.5 no.5_6
• /
• pp.291-301
• /
• 2023

In this paper, we investigate the zeros of the fully modified q-poly-tangent polynomials of the first type.

• Journal of applied mathematics & informatics
• /
• v.41 no.6
• /
• pp.1365-1376
• /
• 2023

In this paper, we construct higher-order poly-tangent polynomials and study several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order poly-tangent polynomials.

• Journal of applied mathematics & informatics
• /
• v.42 no.2
• /
• pp.457-469
• /
• 2024

In this paper, we construct higher-order (p, q)-poly-tangent numbers and polynomials and give several properties, including addition formula and multiplication formula. Finally, we explore the distribution of roots of higher-order (p, q)-poly-tangent polynomials.

• Journal of Applied and Pure Mathematics
• /
• v.6 no.3_4
• /
• pp.201-210
• /
• 2024

In this paper, we construcr the q-Bernoulli-Fibonacci numbers and polynomials. Finally, we investigate the distribution of the zeros of the q-Bernoulli-Fibonacci polynomials by using computer.