Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Ahead of Print Articles

HOME VIEW ARTICLES Ahead of Print Articles
The following are papers that have received final approval and are awaiting to be published. They are listed in the order of their initial submission date.
Papers are published in the order of their initial submission date and will be made available under “Current Issue” once scheduled to be included in a print issue.

Note: Please understand the below list is not in the exact publishing order of the papers as the list does not include papers under internal reviewing process nor those that have not been galley proofed by the authors.

Final published versions of all papers are available under “All Issues” and also under “Current Issue” for papers included in the current issue.

* Paper information have been automatically generated from the information submitted by authors in the online submission system.

  • Online first article March 18, 2024

    On the growth of algebroid solutions of algebraic differential equations

    Manli Liu and Linlin Wu

    Abstract : Using the Nevanlinna value distribution theory of algebroid functions, this paper investigates the growth of two types of complex algebraic differential equation with admissible algebroid solutions and obtains two results, which extends the growth of complex algebraic differential equation with meromorphic solutions obtained by Gao [Acta Math. Sci., 2002,22B(4),149-156].

    Full Text PDF

  • Online first article March 20, 2024

    A density theorem related to Dihedral groups

    Arya Chandran, K Vishnu Namboothiri, and Vinod Sivadasan

    Abstract : For a finite group $G$, let $\psi(G)$ denote the sum of element orders of $G$. If $\psi^{\prime\prime}(G)=\dfrac{\psi(G)}{|G|^2} $, we show here that the image of $\psi^{\prime\prime}$ on the class of all Dihedral groups whose order is twice a composite number greater than 4 is dense in $[0,\frac{1}{4}]$. We also derive some properties of $\psi^{\prime\prime}$ on the class of all Dihedral groups whose order is twice a prime number.

    Full Text PDF

  • Online first article March 19, 2024

    The unimodality of the $r_3$-crank of $3$-regular overpartitions

    Robert X. J. Hao and Erin Y. Y. Shen

    Abstract : An $l$-regular overpartition of $n$ is an overpartition of $n$ with no parts divisible by $l$. Recently, the authors introduced a partition statistic called $r_l$-crank of $l$-regular overpartitions. Let $M_{r_l}(m,n)$ denote the number of $l$-regular overpartitions of $n$ with $r_l$-crank $m$. In this paper, we investigate the monotonicity property and the unimodality of $M_{r_3}(m,n)$. We prove that $M_{r_3}(m,n)\geq M_{r_3}(m,n-1)$ for any integers $m$ and $n \geq 6$ and the sequence $\{M_{r_3}(m,n)\}_{|m|\leq n}$ is unimodal for all $n\geq 14$.

    Full Text PDF

  • Online first article March 21, 2024

    An upper bound of the minimal asymptotic translation length of right-angled Artin groups on extension graphs

    Eon-Kyung Lee and Sang-Jin Lee

    Abstract : For the right-angled Artin group action on the extension graph, it is known that the minimal asymptotic translation length is bounded above by 2 provided that the defining graph has diameter at least 3. In this paper, we show that the same result holds without any assumption. This is done by exploring some graph theoretic properties of biconnected graphs, i.e. connected graphs whose complement is also connected.

    Full Text PDF

  • Online first article April 19, 2024

    Decay results of weak solutions to the non-stationary fractional Navier-Stokes equations

    Zhaoxia Liu

    Abstract : The goal of this paper is to study decay properties of weak solutions to Cauchy problem of the non-stationary fractional Navier-Stokes equations. By using the Fourier splitting method, we give the time $L^2-$decay rate of weak solutions, which reveals that $L^2-$decay is generally determined by its linear generalized Stokes flow. In second part, we establish various decay results and the uniqueness of the two dimensional fractional Navier-Stokes flows. In the end of this article, as an appendix, the existence of global weak solutions is given by making use of Galerkin' method, weak and strong compact convergence theorems.

    Show More  
    Full Text PDF

  • Online first article December 6, 2023

    Some evaluations of infinite series involving Dirichlet type parametric harmonic numbers

    Hongyuan Rui, Ce Xu, and Xiaobin Yin

    Abstract : In this paper, we formally introduce the notion of general parametric digamma function Ψ(−s; A, a) and we find the Laurent expansion of Ψ(−s; A, a) at the integers and poles. Considering the contour integrations involving Ψ(−s; A, a), we present some new identities for infinite series involving Dirichlet type parametric harmonic numbers by using the method of residue computation. Then applying these formulas obtained, we establish some explicit relations of parametric linear Euler sums and some special functions (e.g trigonometric functions, digamma functions, Hurwitz zeta functions etc.). Moreover, some illustrative special cases as well as immediate consequences of the main results are also considered.

    Show More  
    Full Text PDF

  • Online first article March 29, 2024

    Delta-shock for the nonhomogeneous pressureless Euler system

    Shiwei Li and Jianli Zhao

    Abstract : We study the Riemann problem for the pressureless Euler system with the source term depending on the time. By means of the variable substitution, two kinds of Riemann solutions including delta-shock and vacuum are constructed. The generalized Rankine-Hugoniot relation and entropy condition of the delta-shock are clarified. Because of the source term, the Riemann solutions are non-self-similar. Moreover, we propose a time-dependent viscous system to show all of the existence, uniqueness and stability of solutions involving the delta-shock by the limiting viscosity method.

    Full Text PDF

  • Online first article April 2, 2024

    On weakly (m,n)-prime ideals of commutative rings

    Hani A. Khashan and Ece Yetkin Celikel

    Abstract : Let R be a commutative ring with identity and m, n be positive integers. In this paper, we introduce the class of weakly (m; n)-prime ideals generalizing (m; n)-prime and weakly (m; n)-closed ideals. A proper ideal I of R is called weakly (m; n)-prime if for a; b 2 R, 0 6= amb 2 I implies either an 2 I or b 2 I: We justify several properties and characterizations of weakly (m; n)- prime ideals with many supporting examples. Furthermore, We investigate weakly (m; n)-prime ideals under various contexts of constructions such as direct products, localizations and homomorphic images. Finally, we discuss the behaviour of this class of ideals in idealization and amalgamated rings.

    Show More  
    Full Text PDF

Current Issue

March, 2024
Vol.61 No.2

Current Issue
Archives

Most Read

more +

Most Downloaded

more +

Editorial Office

✕

BKMS