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Czechoslovak Mathematical Journal最新文献

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Partitioning a planar graph without chordal 5-cycles into two forests 将无弦5周期的平面图划分为两个森林
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-06-03 DOI: 10.21136/cmj.2024.0065-23
Yang Wang, Weifan Wang, Jiangxu Kong, Yiqiao Wang
{"title":"Partitioning a planar graph without chordal 5-cycles into two forests","authors":"Yang Wang, Weifan Wang, Jiangxu Kong, Yiqiao Wang","doi":"10.21136/cmj.2024.0065-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0065-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141272330","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bounds for the derivative of certain meromorphic functions and on meromorphic Bloch-type functions 某些分形函数的导数和分形布洛赫型函数的界限
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-05-31 DOI: 10.21136/cmj.2024.0332-23
Bappaditya Bhowmik, Sambhunath Sen
{"title":"Bounds for the derivative of certain meromorphic functions and on meromorphic Bloch-type functions","authors":"Bappaditya Bhowmik, Sambhunath Sen","doi":"10.21136/cmj.2024.0332-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0332-23","url":null,"abstract":"<p>It is known that if f is holomorphic in the open unit disc <span>(mathbb{D})</span> of the complex plane and if, for some <i>c</i> &gt; 0, ∣<i>f</i>(<i>z</i>)∣ ⩽ 1/(1−∣<i>z</i>∣<sup>2</sup>)<sup><i>c</i></sup>, <span>(z in mathbb{D})</span>, then ∣<i>f</i>′(<i>z</i>)∣ ⩽ 2(<i>c</i>+1)/(1−∣<i>z</i>∣<sup>2</sup>)<sup><i>c</i>+1</sup>. We consider a meromorphic analogue of this result. Furthermore, we introduce and study the class of meromorphic Bloch-type functions that possess a nonzero simple pole in D. In particular, we obtain bounds for the modulus of the Taylor coefficients of functions in this class.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141501950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Partitioning planar graph of girth 5 into two forests with maximum degree 4 将周长为 5 的平面图划分为两个最大度数为 4 的森林
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-05-30 DOI: 10.21136/cmj.2024.0394-21
Min Chen, André Raspaud, Weifan Wang, Weiqiang Yu
{"title":"Partitioning planar graph of girth 5 into two forests with maximum degree 4","authors":"Min Chen, André Raspaud, Weifan Wang, Weiqiang Yu","doi":"10.21136/cmj.2024.0394-21","DOIUrl":"https://doi.org/10.21136/cmj.2024.0394-21","url":null,"abstract":"<p>Given a graph <i>G</i> = (<i>V, E</i>), if we can partition the vertex set <i>V</i> into two nonempty subsets <i>V</i><sub>1</sub> and <i>V</i><sub>2</sub> which satisfy Δ(<i>G</i>[<i>V</i><sub>1</sub>]) ⩽ <i>d</i><sub>1</sub> and Δ(<i>G</i>[<i>V</i><sub>2</sub>]) ⩽ <i>d</i><sub>2</sub>, then we say <i>G</i> has a (<span>({{rm{Delta }}_{{d_1}}},,{{rm{Delta }}_{{d_2}}})</span>)-partition. And we say <i>G</i> admits an (<span>({F_{d_{1}}}, {F_{d_{2}}})</span>)-partition if <i>G</i>[<i>V</i><sub>1</sub>] and <i>G</i>[<i>V</i><sub>2</sub>] are both forests whose maximum degree is at most <i>d</i><sub>1</sub> and <i>d</i><sub>2</sub>, respectively. We show that every planar graph with girth at least 5 has an (<i>F</i><sub>4</sub>, <i>F</i><sub>4</sub>)-partition.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141501951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
$C^*$-basic construction between non-balanced quantum doubles 非平衡量子双倍之间的 C^*$ 基本构造
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-05-17 DOI: 10.21136/cmj.2024.0022-24
Qiaoling Xin, Tianqing Cao
{"title":"$C^*$-basic construction between non-balanced quantum doubles","authors":"Qiaoling Xin, Tianqing Cao","doi":"10.21136/cmj.2024.0022-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0022-24","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140963606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the least almost-prime in arithmetic progressions 论算术级数中的最小几乎素数
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-05-16 DOI: 10.21136/cmj.2024.0459-23
Liuying Wu
{"title":"On the least almost-prime in arithmetic progressions","authors":"Liuying Wu","doi":"10.21136/cmj.2024.0459-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0459-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140971367","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Images of locally nilpotent derivations of bivariate polynomial algebras over a domain 域上二元多项式代数的局部零势派生的图像
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-05-06 DOI: 10.21136/cmj.2024.0008-24
Xiaosong Sun, Beini Wang
{"title":"Images of locally nilpotent derivations of bivariate polynomial algebras over a domain","authors":"Xiaosong Sun, Beini Wang","doi":"10.21136/cmj.2024.0008-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0008-24","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141010171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizing finite groups whose enhanced power graphs have universal vertices 增强幂图具有普遍顶点的有限群的特征
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-04-29 DOI: 10.21136/cmj.2024.0065-24
David G. Costanzo, Mark L. Lewis, Stefano Schmidt, Eyob Tsegaye, Gabe Udell
{"title":"Characterizing finite groups whose enhanced power graphs have universal vertices","authors":"David G. Costanzo, Mark L. Lewis, Stefano Schmidt, Eyob Tsegaye, Gabe Udell","doi":"10.21136/cmj.2024.0065-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0065-24","url":null,"abstract":"<p>Let <i>G</i> be a finite group and construct a graph Δ(<i>G</i>) by taking <i>G</i> {1} as the vertex set of Δ(<i>G</i>) and by drawing an edge between two vertices <i>x</i> and <i>y</i> if 〈<i>x</i>, <i>y</i>〉 is cyclic. Let <i>K</i>(<i>G</i>) be the set consisting of the universal vertices of Δ(<i>G</i>) along the identity element. For a solvable group <i>G</i>, we present a necessary and sufficient condition for <i>K</i>(<i>G</i>) to be nontrivial. We also develop a connection between Δ(<i>G</i>) and <i>K</i>(<i>G</i>) when ∣<i>G</i>∣ is divisible by two distinct primes and the diameter of Δ(<i>G</i>) is 2.</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on average behaviour of the Fourier coefficients of jth symmetric power L-function over certain sparse sequence of positive integers 关于第 j 次对称幂 L 函数在某些正整数稀疏序列上的傅立叶系数平均行为的说明
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-04-29 DOI: 10.21136/cmj.2024.0038-24
Youjun Wang
{"title":"A note on average behaviour of the Fourier coefficients of jth symmetric power L-function over certain sparse sequence of positive integers","authors":"Youjun Wang","doi":"10.21136/cmj.2024.0038-24","DOIUrl":"https://doi.org/10.21136/cmj.2024.0038-24","url":null,"abstract":"<p>Let <i>j</i> ⩾ 2 be a given integer. Let <i>H</i><sub><i>k</i></sub>* be the set of all normalized primitive holomorphic cusp forms of even integral weight <i>k</i> ⩾ 2 for the full modulo group SL(2, ℤ). For <i>f</i> ∈ <i>H</i><sub><i>k</i></sub>*, denote by <span>({{rm{lambda }}_{{rm{sy}}{{rm{m}}^j}{kern 1pt} f}}(n))</span> the <i>n</i>th normalized Fourier coefficient of <i>j</i>th symmetric power <i>L</i>-function (<i>L</i>(<i>s</i>, sym<sup><i>j</i></sup><i>f</i>)) attached to <i>f</i>. We are interested in the average behaviour of the sum </p><span>$$sumlimits_{scriptstyle n, = ,a_1^2 + a_2^2 + a_3^2 + a_4^2 + a_5^2 + a_6^2x atop scriptstyle ,,,,,,,({a_1},{a_2},{a_3},{a_4},{a_5},{a_6}{rm{)}} in ,{{mathbb{Z}}^6}} {{rm{lambda }}_{{rm{sy}}{{rm{m}}^j},fleft( n right),}^2}$$</span><p> where <i>x</i> is sufficiently large, which improves the recent work of A. Sharma and A. Sankaranarayanan (2023).</p>","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Class groups of large ranks in biquadratic fields 双曲域中的大等级类群
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-04-15 DOI: 10.21136/cmj.2024.0356-23
Mahesh Kumar Ram
{"title":"Class groups of large ranks in biquadratic fields","authors":"Mahesh Kumar Ram","doi":"10.21136/cmj.2024.0356-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0356-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140701317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the characterization of certain additive maps in prime $ast$-rings 论素数$ast$环中某些加法映射的表征
IF 0.5 4区 数学
Czechoslovak Mathematical Journal Pub Date : 2024-04-09 DOI: 10.21136/cmj.2024.0460-23
Mohammad Ashraf, Mohammad Aslam Siddeeque, Abbas Hussain Shikeh
{"title":"On the characterization of certain additive maps in prime $ast$-rings","authors":"Mohammad Ashraf, Mohammad Aslam Siddeeque, Abbas Hussain Shikeh","doi":"10.21136/cmj.2024.0460-23","DOIUrl":"https://doi.org/10.21136/cmj.2024.0460-23","url":null,"abstract":"","PeriodicalId":50596,"journal":{"name":"Czechoslovak Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140726679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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