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Acta Mathematica Hungarica最新文献

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On unramified Galois 2-groups over (mathbb{Z}_2)-extensions of some imaginary biquadratic number fields 关于一些虚二次数域的$$mathbb{Z}_2$$上的未成帧伽罗瓦2群的扩展
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01425-y
A. Mouhib, S. Rouas
{"title":"On unramified Galois 2-groups over (mathbb{Z}_2)-extensions of some imaginary biquadratic number fields","authors":"A. Mouhib,&nbsp;S. Rouas","doi":"10.1007/s10474-024-01425-y","DOIUrl":"10.1007/s10474-024-01425-y","url":null,"abstract":"<div><p>For an imaginary biquadratic number field <span>(K = mathbb Q(sqrt{-q},sqrt d))</span>, where <span>(q&gt;3)</span> is a prime congruent to <span>(3 pmod 8)</span>, and <span>(d)</span> is an odd square-free integer which is not equal to <i>q</i>, let <span>(K_infty)</span> be the cyclotomic <span>(mathbb Z_2)</span>-extension of <span>(K)</span>. For any integer <span>(n geq 0)</span>, we denote by <span>(K_n)</span> the <i>n</i>th layer of <span>(K_infty/K)</span>. We investigate the rank of the 2-class group of <span>(K_n)</span>, then we draw the list of all number fields <i>K</i> such that the Galois group of the maximal unramified pro-2-extension over their cyclotomic <span>(mathbb Z_2)</span>-extension is metacyclic pro-2 group.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"481 - 491"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces 关于 Lebesgue 空间中 Vilenkin 系统的 Nörlund 方式近似法
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01418-x
N. Anakidze, N. Areshidze, L. Baramidze
{"title":"Approximation by Nörlund means with respect to Vilenkin system in Lebesgue spaces","authors":"N. Anakidze,&nbsp;N. Areshidze,&nbsp;L. Baramidze","doi":"10.1007/s10474-024-01418-x","DOIUrl":"10.1007/s10474-024-01418-x","url":null,"abstract":"<div><p>We improve and complement a result by Móricz and Siddiqi [20].\u0000In particular, we prove that their estimate of the Nörlund means with respect to\u0000the Vilenkin system holds also without their additional condition. Moreover, we\u0000prove a similar approximation result in Lebesgue spaces for any <span>(1leq p&lt;infty)</span>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"529 - 542"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
New infinite families of congruences for 5-core and 7-core partitions 5 核和 7 核分区的新无限同余族
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01424-z
Z. Meng, O. X. M. Yao
{"title":"New infinite families of congruences for 5-core and 7-core partitions","authors":"Z. Meng,&nbsp;O. X. M. Yao","doi":"10.1007/s10474-024-01424-z","DOIUrl":"10.1007/s10474-024-01424-z","url":null,"abstract":"<div><p>Let <span>(a_t(n))</span> denote the number of <i>t</i>-core partitions of <i>n</i>. In recent years, a number of congruences for <span>(a_t(n))</span> have been discovered for some small <i>t</i>. Very recently, Fathima and Pore [4] established infinite families of congruences modulo 3 for <span>(a_5(n))</span> and congruences modulo 2 for <span>(a_7(n))</span>. Motivated by their work, we prove some new infinite families of congruences modulo 3 for <span>(a_5(n))</span> and congruences modulo 2 for <span>(a_7(n))</span> by utilizing Newman's identities.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"470 - 480"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 boundary Hölder logarithmic continuity of mappings in some domains 论某些域中映射的边界荷尔德对数连续性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01419-w
O. Dovhopiatyi, E. Sevost’yanov
{"title":"On boundary Hölder logarithmic continuity of mappings in some domains","authors":"O. Dovhopiatyi,&nbsp;E. Sevost’yanov","doi":"10.1007/s10474-024-01419-w","DOIUrl":"10.1007/s10474-024-01419-w","url":null,"abstract":"<div><p>We study mappings satisfying some estimate of distortion of\u0000modulus of families of paths. Under some conditions on definition and mapped\u0000domains, we prove that these mappings are logarithmic Hölder continuous at\u0000boundary points.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"499 - 512"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140592075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Fractal sumset properties 分形和集属性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01421-2
D. Kong, Z. Wang
{"title":"Fractal sumset properties","authors":"D. Kong,&nbsp;Z. Wang","doi":"10.1007/s10474-024-01421-2","DOIUrl":"10.1007/s10474-024-01421-2","url":null,"abstract":"<div><p>\u0000We introduce two notions of fractal sumset properties.\u0000A compact set <span>(Ksubsetmathbb{R}^d)</span> is said to have the <i>Hausdorff sumset property</i> (HSP) if for any <span>(ellinmathbb{N}_{ge 2})</span> there exist compact sets <span>(K_1,K_2)</span>,..., <span>(K_ell)</span> such that <span>(K_1+K_2+cdots+K_ellsubset K)</span> and <span>(dim_H K_i=dim_H K)</span> for all <span>(1le ile ell)</span>.\u0000Analogously, if we replace the Hausdorff dimension by the packing dimension in the definition of HSP, then the compact set <span>(Ksubsetmathbb{R}^d)</span> is said to have the <i>packing sumset property</i> (PSP).\u0000We show that the HSP fails for certain homogeneous self-similar sets satisfying the strong separation condition, while the PSP holds for all homogeneous self-similar sets in <span>(mathbb{R}^d)</span>.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"400 - 412"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591761","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 resolvability, connectedness and pseudocompactness 关于可解析性、连通性和伪紧密性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01423-0
A. E. Lipin
{"title":"On resolvability, connectedness and pseudocompactness","authors":"A. E. Lipin","doi":"10.1007/s10474-024-01423-0","DOIUrl":"10.1007/s10474-024-01423-0","url":null,"abstract":"<div><p>\u0000We prove that:\u0000I. If <i>L</i> is a <span>(T_1)</span> space, <span>(|L|&gt;1)</span> and <span>(d(L) leq kappa geq omega)</span>, then\u0000there is a submaximal dense subspace <i>X</i> of <span>(L^{2^kappa})</span> such that <span>(|X|=Delta(X)=kappa)</span>. \u0000II. If <span>(mathfrak{c}leqkappa=kappa^omega&lt;lambda)</span> and <span>(2^kappa=2^lambda)</span>, then there is a Tychonoff pseudocompact globally and locally connected space <i>X</i> such that <span>(|X|=Delta(X)=lambda)</span> and <i>X</i> is not <span>(kappa^+)</span>-resolvable. \u0000III. If <span>(omega_1leqkappa&lt;lambda)</span> and <span>(2^kappa=2^lambda)</span>, then there is a regular space <i>X</i> such that <span>(|X|=Delta(X)=lambda)</span>, all continuous real-valued functions on <i>X</i> are constant (so <i>X</i> is connected) and <i>X</i> is not <span>(kappa^+)</span>-resolvable.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"519 - 528"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140592004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Atomic decompositions of martingale Hardy Lorentz amalgam spaces and applications 马氏哈代洛伦兹汞齐空间的原子分解及其应用
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-04-10 DOI: 10.1007/s10474-024-01422-1
L. Li, Y. Wang, A. Yang
{"title":"Atomic decompositions of martingale Hardy Lorentz amalgam spaces and applications","authors":"L. Li,&nbsp;Y. Wang,&nbsp;A. Yang","doi":"10.1007/s10474-024-01422-1","DOIUrl":"10.1007/s10474-024-01422-1","url":null,"abstract":"<div><p>We develop the martingale theory in the framework of Lorentz amalgam spaces. Atomic decompositions for the martingale Hardy Lorentz amalgam spaces are established. As applications of atomic decompositions, the dual spaces of the martingale Hardy Lorentz amalgam spaces are characterized. Furthermore, when the stochastic basis is regular, the boundedness of the fractional integrals on martingale Hardy Lorentz amalgam spaces is proved. The results obtained here generalized the corresponding known results in martingale Hardy amalgam spaces and various classical martingale Hardy spaces.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"422 - 444"},"PeriodicalIF":0.6,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140591974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Bounded Below, Noncontractible, Acyclic Complex Of Projective Modules 投影模块的有界、非收缩、无环复合物
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-13 DOI: 10.1007/s10474-024-01414-1
L. Positselski
{"title":"A Bounded Below, Noncontractible, Acyclic Complex Of Projective Modules","authors":"L. Positselski","doi":"10.1007/s10474-024-01414-1","DOIUrl":"10.1007/s10474-024-01414-1","url":null,"abstract":"<div><p>We construct examples of bounded below, noncontractible, acyclic\u0000complexes of finitely generated projective modules over some rings <i>S</i>,\u0000as well as bounded above, noncontractible, acyclic complexes of\u0000injective modules.\u0000 The rings <i>S</i> are certain rings of infinite matrices with entries in\u0000the rings of commutative polynomials or formal power series in\u0000infinitely many variables.\u0000 In the world of comodules or contramodules over coalgebras over\u0000fields, similar examples exist over the cocommutative symmetric\u0000coalgebra of an infinite-dimensional vector space.\u0000 A simpler, universal example of a bounded below, noncontractible,\u0000acyclic complex of free modules with one generator, communicated to\u0000the author by Canonaco, is included at the end of the paper.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"324 - 345"},"PeriodicalIF":0.6,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01414-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126371","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Visibility Properties Of Lattice Points In Multiple Random Walks 多重随机行走中网格点的可见性
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-13 DOI: 10.1007/s10474-024-01412-3
M. Lu
{"title":"Visibility Properties Of Lattice Points In Multiple Random Walks","authors":"M. Lu","doi":"10.1007/s10474-024-01412-3","DOIUrl":"10.1007/s10474-024-01412-3","url":null,"abstract":"<div><p>This paper concerns the visibility properties of lattice points\u0000in multiple random walks on <span>(mathbb{N}^k)</span>, where <span>(kgeq 2)</span> is an integer. We study two aspects\u0000of the visibility: simultaneous visibility in multiple random walkers; and\u0000that only some of these walkers are visible. Combining tools from number theory\u0000and probability theory, we prove the corresponding densities of the above two\u0000parts.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"289 - 305"},"PeriodicalIF":0.6,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups 具有半面体 Sylow 2 子群的有限群的 Coleman 自形变
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-13 DOI: 10.1007/s10474-024-01408-z
R. Aragona
{"title":"Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups","authors":"R. Aragona","doi":"10.1007/s10474-024-01408-z","DOIUrl":"10.1007/s10474-024-01408-z","url":null,"abstract":"<div><p>We study some families of finite groups having inner class-preserving\u0000automorphisms. In particular, let <i>G</i> be a finite group and <i>S</i> be a\u0000semidihedral Sylow 2-subgroup. Then, in both cases when either Sym(4) is not\u0000a homomorphic image of <i>G</i> and <span>(Z(S) &lt; Z(G))</span> or <i>G</i> is nilpotent-by-nilpotent, we\u0000have that all the Coleman automorphisms of <i>G</i> are inner. As a consequence, these\u0000groups satisfy the <i>normalizer problem</i>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"172 2","pages":"413 - 421"},"PeriodicalIF":0.6,"publicationDate":"2024-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01408-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140126458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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