Bulletin of the
Korean Mathematical Society
BKMS
ISSN(Print) 1015-8634
ISSN(Online) 2234-3016
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2023-11-30
Automorphisms of K3 surfaces with Picard number two
Kwangwoo LeeAbstract : It is known that the automorphism group of a K3 surface with Picard number two is either an infinite cyclic group or an infinite dihedral group when it is infinite. In this paper, we study the generators of such automorphism groups. We use the eigenvector corresponding to the spectral radius of an automorphism of infinite order to determine the generators.
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2023-03-31
Model structures and recollements induced by duality pairs
Wenjing Chen, Ling Li, Yanping RaoAbstract : Let $(\mathcal{L}, \mathcal{A})$ be a complete duality pair. We give some equivalent characterizations of Gorenstein $(\mathcal{L}, \mathcal{A})$-projective modules and construct some model structures associated to duality pairs and Frobenius pairs. Some rings are described by Frobenius pairs. In addition, we investigate special Gorenstein $(\mathcal{L}, \mathcal{A})$-projective modules and construct some model structures and recollements associated to them.
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2024-01-31
On delay differential equations with meromorphic solutions of hyper-order less than one
Risto Korhonen, Yan LiuAbstract : We consider the delay differential equations \begin{equation*} b(z)w(z+1)+c(z)w(z-1)+a(z)\frac{w'(z)}{w^k(z)}=\frac{P(z,w(z))}{Q(z,w(z))}, \end{equation*} where $k\in\{1,2\}$, $a(z)$, $b(z)\not\equiv 0$, $c(z)\not\equiv 0$ are rational functions, and $P(z,w(z))$ and $Q(z,w(z))$ are polynomials in $w(z)$ with rational coefficients satisfying certain natural conditions regarding their roots. It is shown that if this equation has a non-rational meromorphic solution $w$ with hyper-order $\rho_{2}(w)
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2023-05-31
Compact composition operators on Besov spaces on the unit ball
Chao ZhangAbstract : In this paper, we give new necessary and sufficient conditions for the compactness of composition operator on the Besov space and the Bloch space of the unit ball, which, to a certain extent, generalizes the results given by M. Tjani in [10].
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2022-09-30
Second main theorem for holomorphic curves into algebraic varieties with the moving targets on an angular domain
Jiali Chen, Qingcai ZhangAbstract : In this paper, we will prove the second main theorem for holomorphic curves intersecting the moving hypersurfaces in subgeneral position with index on an angular domain. Our results are an extension of the previous second main theorems for holomorphic curves with moving targets on an angular domain.
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2023-09-30
Certain properties of the class of univalent functions with real coefficients
Milutin Obradovic, Nikola TuneskiAbstract : Let $\mathcal U^+$ be the class of analytic functions $f$ such that $\frac{z}{f(z)}$ has real and positive coefficients and $f^{-1}$ be its inverse. In this paper we give sharp estimates of the initial coefficients and initial logarithmic coefficients for $f$, as well as, sharp estimates of the second and the third Hankel determinant for $f$ and $f^{-1}$. We also show that the Zalcman conjecture holds for functions $f$ from $\mathcal U^+$.
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2023-05-31
Extensions of multiple Lauricella and Humbert's confluent hypergeometric functions through a highly generalized Pochhammer symbol and their related properties
Ritu Agarwal, Junesang Choi, Naveen Kumar, Rakesh K. ParmarAbstract : Motivated by several generalizations of the Pochhammer \linebreak symbol and their associated families of hypergeometric functions and hypergeometric polynomials, by choosing to use a very generalized Pochhammer symbol, we aim to introduce certain extensions of the generalized Lauricella function $F_A^{(n)}$ and the Humbert's confluent hypergeometric function $\Psi^{(n)}$of $n$ variables with, as their respective particular cases, the second Appell hypergeometric function $F_2$ and the generalized Humbert's confluent hypergeometric functions $\Psi_2$ and investigate their several properties including, for example, various integral representations, finite summation formulas with an $s$-fold sum and integral representations involving the Laguerre polynomials, the incomplete gamma functions, and the Bessel and modified Bessel functions. Also, pertinent links between the major identities discussed in this article and different (existing or novel) findings are revealed.
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2023-03-31
On reversible $\mathbb{Z}_2$-double cyclic codes
Nupur PatankerAbstract : A binary linear code is said to be a $\mathbb{Z}_2$-double cyclic code if its coordinates can be partitioned into two subsets such that any simultaneous cyclic shift of the coordinates of the subsets leaves the code invariant. These codes were introduced in [6]. A $\mathbb{Z}_2$-double cyclic code is called reversible if reversing the order of the coordinates of the two subsets leaves the code invariant. In this note, we give necessary and sufficient conditions for a $\mathbb{Z}_2$-double cyclic code to be reversible. We also give a relation between reversible $\mathbb{Z}_2$-double cyclic code and LCD $\mathbb{Z}_2$-double cyclic code for the separable case and we present a few examples to show that such a relation doesn't hold in the non-separable case. Furthermore, we list examples of reversible $\mathbb{Z}_2$-double cyclic codes of length $\leq 10$.
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2023-11-30
Partial sums and inclusion relations for starlike functions associated with an evolute of a nephroid curve
Gurpreet Kaur, Sumit NagpalAbstract : A class of normalized univalent functions $f$ defined in an open unit disk of the complex plane is introduced and studied such that the values of the quantity $zf'(z)/f(z)$ lies inside the evolute of a nephroid curve. The inclusion relations of the newly defined class with other subclasses of starlike functions and radius problems concerning the second partial sums are investigated. All the obtained results are sharp.
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2023-05-31
When all permutations are combinatorial similarities
Viktoriia Bilet, Oleksiy DovgosheyAbstract : Let \((X, d)\) be a semimetric space. A permutation \(\Phi\) of the set \(X\) is a combinatorial self similarity of \((X, d)\) if there is a bijective function \(f \colon d(X \times X) \to d(X \times X)\) such that \[ d(x, y) = f(d(\Phi(x), \Phi(y))) \] for all \(x\), \(y \in X\). We describe the set of all semimetrics \(\rho\) on an arbitrary nonempty set \(Y\) for which every permutation of \(Y\) is a combinatorial self similarity of \((Y, \rho)\).
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On weakly $S$-prime submodules
Hani A. Khashan, Ece Yetkin~Celikel
Bull. Korean Math. Soc. 2022; 59(6): 1387-1408
https://doi.org/10.4134/BKMS.b210784 -
Dually flat and projectively flat Finsler warped product structures
Xiaoling Zhang, Xuesong Zhang, Lili Zhao
Bull. Korean Math. Soc. 2022; 59(6): 1359-1370
https://doi.org/10.4134/BKMS.b210760 -
Lens spaces admitting minimal symplectic fillings with the second Betti number one
Heesang Park, Dongsoo Shin
Bull. Korean Math. Soc. 2023; 60(1): 113-122
https://doi.org/10.4134/BKMS.b210923 -
On the existence of the Tweedie power parameter implicit estimator
Abdelaziz Ghribi, Aymen Hassin, Afif Masmoudi
Bull. Korean Math. Soc. 2022; 59(4): 979-991
https://doi.org/10.4134/BKMS.b210590
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On the construction of optimal linear codes of dimension four
ATSUYA KATO, TATSUYA MARUTA, KEITA NOMURA
Bull. Korean Math. Soc. 2023; 60(5): 1237-1252
https://doi.org/10.4134/BKMS.b220613 -
Some one-dimensional Noetherian domains and G-projective modules
Kui Hu, Hwankoo Kim, Dechuan Zhou
Bull. Korean Math. Soc. 2023; 60(6): 1453-1461
https://doi.org/10.4134/BKMS.b220513 -
Mixed radial-angular integrabilities for Hardy type operators
Ronghui Liu, Shuangping Tao
Bull. Korean Math. Soc. 2023; 60(5): 1409-1425
https://doi.org/10.4134/BKMS.b220726 -
Second main theorem for meromorphic mappings on $p$-parabolic manifolds intersecting hypersurfaces in subgeneral position
Yuehuan Zhu
Bull. Korean Math. Soc. 2023; 60(6): 1621-1639
https://doi.org/10.4134/BKMS.b220769
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