发布求助
文献互助 智能选刊 最新文献

Acta Mathematica Hungarica最新文献

筛选
英文 中文
On algebraic conditions for the non-vanishing of linear forms in Jacobi theta-constants 关于雅可比θ常数中线性形式不消失的代数条件
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-16 DOI: 10.1007/s10474-024-01449-4
C. Elsner, V. Kumar
{"title":"On algebraic conditions for the non-vanishing of linear forms in Jacobi theta-constants","authors":"C. Elsner,&nbsp;V. Kumar","doi":"10.1007/s10474-024-01449-4","DOIUrl":"10.1007/s10474-024-01449-4","url":null,"abstract":"<div><p>Elsner, Luca and Tachiya proved in [4] that the values of the Jacobi-theta constants <span>(theta_3(mtau))</span> and <span>(theta_3(ntau))</span> are algebraically independent over <span>(mathbb{Q})</span> for distinct integers <span>(m)</span>, <span>(n)</span> under some conditions on <span>(tau)</span>. On the other hand, in [3] Elsner and Tachiya also proved that three values <span>(theta_3(mtau),theta_3(ntau))</span> and <span>(theta_3(ell tau))</span> are algebraically dependent over <span>(mathbb{Q})</span>. In this article we prove the non-vanishing of linear forms in <span>(theta_3(mtau))</span>, <span>(theta_3(ntau))</span> and <span>(theta_3(ell tau))</span> under various conditions on <span>(m)</span>, <span>(n)</span>, <span>(ell)</span>, and <span>(tau)</span>. Among other things we prove that for odd and distinct positive integers <span>(m,n&gt;3)</span> the three numbers <span>(theta_3(tau))</span>, <span>(theta_3(mtau))</span> and <span>(theta_3(n tau))</span> are linearly independent over <span>(overline{mathbb{Q}})</span> when <span>(tau)</span> is an algebraic number of some degree greater or equal to 3. In some sense this fills the gap between the above-mentioned former results on theta constants. A theorem on the linear independence over <span>(mathbb{C(tau)})</span> of the functions <span>(theta_3(a_1 tau), dots, theta_3(a_m tau))</span>for distinct positive rational numbers <span>(a_{1}, {dots}, a_{m})</span> is also established.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"392 - 413"},"PeriodicalIF":0.6,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142214276","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
Parallel packing squares into a rhombus 将正方形平行打包成菱形
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-16 DOI: 10.1007/s10474-024-01446-7
M. Liu, Z. Su
{"title":"Parallel packing squares into a rhombus","authors":"M. Liu,&nbsp;Z. Su","doi":"10.1007/s10474-024-01446-7","DOIUrl":"10.1007/s10474-024-01446-7","url":null,"abstract":"<div><p> Suppose that <span>(R_{alpha})</span> is a rhombus with side length <span>(1)</span> and with acute angle <span>(alpha)</span>. Let <span>({S_{n}})</span> be any collection of squares. In this note a tight upper bound of the sum of the areas of squares from <span>({S_{n}})</span> that can be parallel packed into <span>(R_{alpha})</span> is given.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"471 - 499"},"PeriodicalIF":0.6,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142214277","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
Element orders in extraspecial groups 特异群中的元素顺序
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-12 DOI: 10.1007/s10474-024-01454-7
M.-S Lazorec
{"title":"Element orders in extraspecial groups","authors":"M.-S Lazorec","doi":"10.1007/s10474-024-01454-7","DOIUrl":"10.1007/s10474-024-01454-7","url":null,"abstract":"<div><p>By using the structure and some properties of extraspecial and generalized/almost extraspecial <span>(p)</span>-groups, we explicitly determine the number of elements of specific orders in such groups. As a consequence, one may find the number of cyclic subgroups of any (generalized/almost) extraspecial group. For a finite group <span>(G)</span>, the ratio of the number of cyclic subgroups to the number of subgroups is called the cyclicity degree of <span>(G)</span> and is denoted by cdeg <span>((G))</span>. We show that the set containing the cyclicity degrees of all finite groups is dense in <span>([0, 1])</span>. This is equivalent to giving an affirmative answer to the following question posed by Tóth and Tărnăuceanu: “For every <span>(ain [0, 1])</span>, does there exist a sequence <span>((G_n)_{ngeq 1})</span> of finite groups such that <span>( lim_{ntoinfty} text{cdeg} (G_n)=a)</span>?”. We show that such sequences are formed of finite direct products of extraspecial groups of a specific type. </p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"434 - 447"},"PeriodicalIF":0.6,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941490","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
Fixed point theorem for generalized Chatterjea type mappings 广义 Chatterjea 型映射的定点定理
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-08 DOI: 10.1007/s10474-024-01455-6
C. M. Păcurar, O. Popescu
{"title":"Fixed point theorem for generalized Chatterjea type mappings","authors":"C. M. Păcurar,&nbsp;O. Popescu","doi":"10.1007/s10474-024-01455-6","DOIUrl":"10.1007/s10474-024-01455-6","url":null,"abstract":"<div><p>We introduce a new type of mappings in metric spaces which are\u0000three-point analogue of the well-known Chatterjea type mappings, and call them\u0000generalized Chatterjea type mappings. It is shown that such mappings can be \u0000discontinuous as is the case of Chatterjea type mappings and this new class includes\u0000the class of Chatterjea type mappings. The fixed point theorem for generalized\u0000Chatterjea type mappings is proven.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"500 - 509"},"PeriodicalIF":0.6,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-024-01455-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941491","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
Ellipsephic harmonic series revisited 椭圆调和数列重温
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-07 DOI: 10.1007/s10474-024-01448-5
J.-P. Allouche, Y. Hu, C. Morin
{"title":"Ellipsephic harmonic series revisited","authors":"J.-P. Allouche,&nbsp;Y. Hu,&nbsp;C. Morin","doi":"10.1007/s10474-024-01448-5","DOIUrl":"10.1007/s10474-024-01448-5","url":null,"abstract":"<div><p>Ellipsephic or Kempner-like harmonic series are series of inverses of integers whose expansion in base <i>B</i>, for some <span>(B geq 2)</span>, contains no occurrence of some fixed digit or some fixed block of digits. A prototypical example was proposed by Kempner in 1914, namely the sum inverses of integers whose expansion in base 10 contains no occurrence of a nonzero given digit. Results about such series address their convergence as well as closed expressions for their sums (or approximations thereof). \u0000Another direction of research is the study of sums of inverses of integers that contain only a given finite number, say <i>k</i>, of some digit or some block of digits, and the limits of such sums when <i>k</i> goes to infinity. \u0000Generalizing partial results in the literature, we give a complete result for any digit or block of digits in any base. \u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"461 - 470"},"PeriodicalIF":0.6,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941492","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 a preference relation between random variables related to an investment problem 论与投资问题有关的随机变量之间的偏好关系
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-07 DOI: 10.1007/s10474-024-01456-5
A.M. Răducan , R. Vernic, G. Zbăganu
{"title":"On a preference relation between random variables related to an investment problem","authors":"A.M. Răducan ,&nbsp;R. Vernic,&nbsp;G. Zbăganu","doi":"10.1007/s10474-024-01456-5","DOIUrl":"10.1007/s10474-024-01456-5","url":null,"abstract":"<div><p>Related to a stochastic investment problem which aims to deter-mine when is it better to first invest a larger amount of money and afterwards a\u0000smaller one, in this paper we introduce a new preference relation between random\u0000variables. We investigate the link between this new relation and some well-known\u0000stochastic order relations and present some characterization properties illustrated\u0000with numerical examples.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"352 - 365"},"PeriodicalIF":0.6,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941496","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
Remarks on some cardinal invariants and partition relations 关于一些万有不变式和分割关系的评论
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-06 DOI: 10.1007/s10474-024-01452-9
A. Kumar, S. Shelah
{"title":"Remarks on some cardinal invariants and partition relations","authors":"A. Kumar,&nbsp;S. Shelah","doi":"10.1007/s10474-024-01452-9","DOIUrl":"10.1007/s10474-024-01452-9","url":null,"abstract":"<div><p>We answer some questions about two cardinal invariants associated with separating and almost disjoint families and a partition relation involving indecomposable countable linear orderings.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"510 - 524"},"PeriodicalIF":0.6,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941494","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 certain unbounded multiplicative functions in short intervals 论短区间中的某些无界乘法函数
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-06 DOI: 10.1007/s10474-024-01457-4
Y. Zhou
{"title":"On certain unbounded multiplicative functions in short intervals","authors":"Y. Zhou","doi":"10.1007/s10474-024-01457-4","DOIUrl":"10.1007/s10474-024-01457-4","url":null,"abstract":"<div><p>Recently, Mangerel extended the Matomäki–Radziwiłł theorem to a large collection of unbounded multiplicative functions in typical short intervals. In this paper, we combine Mangerel's result with Halász-type result recently established by Granville, Harper and Soundararajan to consider the distribution of a class of multiplicative functions in short intervals. First, we prove cancellation in the sum of the coefficients of the standard <i>L</i>-function of an automorphic irreducible cuspidal representation of <span>(mathrm{GL}_m)</span> over <span>(mathbb{Q})</span> with unitary central character in typical intervals of length <span>(h(log X)^c)</span> with <span>(h = h(X) rightarrow infty)</span> and some constant <span>(c &gt; 0)</span> (under Vinogradov–Korobov zero-free region and GRC). Then we also establish a non-trivial bound for the product of divisor-bounded multiplicative functions with the Liouville function in arithmetic progressions over typical short intervals.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"317 - 339"},"PeriodicalIF":0.6,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941495","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
Sharp inequalities involving multiplicative chaos sums 涉及乘法混沌和的锐不等式
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-08-06 DOI: 10.1007/s10474-024-01451-w
G.A. Karagulyan
{"title":"Sharp inequalities involving multiplicative chaos sums","authors":"G.A. Karagulyan","doi":"10.1007/s10474-024-01451-w","DOIUrl":"10.1007/s10474-024-01451-w","url":null,"abstract":"<div><p>The present note is an addition to the author’s recent paper\u0000[44], concerning general multiplicative systems of random variables. Using some\u0000lemmas and the methodology of [13], we obtain a general extremal inequality,\u0000with corollaries involving Rademacher chaos sums and those analogues for multiplicative\u0000systems. In particular we prove that a system of functions generated by\u0000bounded products of a multiplicative system is a convergence system.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"340 - 351"},"PeriodicalIF":0.6,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141941493","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
The ({rm SL}(2,mathbb{C}))-character variety of the Borromean link 波罗曼链接的 $${rm SL}(2,mathbb{C})$$-特征变种
IF 0.6 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-07-24 DOI: 10.1007/s10474-024-01445-8
H. Chen, T. Yu
{"title":"The ({rm SL}(2,mathbb{C}))-character variety of the Borromean link","authors":"H. Chen,&nbsp;T. Yu","doi":"10.1007/s10474-024-01445-8","DOIUrl":"10.1007/s10474-024-01445-8","url":null,"abstract":"<div><p>For the Borromean link, we determine its irreducible <span>({rm SL}(2,mathbb{C}))</span>-character variety, and find a formula for the twisted Alexander polynomial as a function on the character variety.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"173 2","pages":"414 - 433"},"PeriodicalIF":0.6,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141775009","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信