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Acta Mathematica Hungarica最新文献

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On common index divisors and monogenity of septic number fields defined by trinomials of type $$x^7+ax^2+b$$ 论由$$x^7+ax^2+b$$型三项式定义的隔行数域的共指数除数和单原性
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-04 DOI: 10.1007/s10474-024-01409-y
H. Ben Yakkou
{"title":"On common index divisors and monogenity of septic number fields defined by trinomials of type $$x^7+ax^2+b$$","authors":"H. Ben Yakkou","doi":"10.1007/s10474-024-01409-y","DOIUrl":"https://doi.org/10.1007/s10474-024-01409-y","url":null,"abstract":"<p>We study the index <span>(i(K))</span> of any septic number field <span>(K)</span> generated\u0000by a root of an irreducible trinomial of type <span>(F(x)=x^7+ax^2+b in mathbb{Z}[x])</span>. We show\u0000that the unique prime which can divide <span>(i(K))</span> is <span>(2)</span>. Moreover, we give necessary\u0000and sufficient conditions on <span>(a)</span> and <span>(b)</span> so that <span>(2)</span> is a common index divisor of <span>(K)</span>.\u0000Further, we show that <span>(i(K)=2)</span> whenever <span>(2)</span> divides <span>(i(K))</span>. In this way, we answer\u0000completely Problem <span>(6)</span> and Problem <span>(22)</span> of Narkiewicz [34] for these families of number fields. As an application of our results, if <span>(2)</span> divides <span>(i(K))</span>, then the ring\u0000<span>(mathcal{O}_K)</span> of integers of <span>(K)</span> has no power integral basis. We illustrate our results by\u0000giving some numerical examples.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140036976","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
Compatible relative open books on relative contact pairs via generalized square bridge diagrams 通过广义方桥图实现相对接触对上的兼容相对开本
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-01 DOI: 10.1007/s10474-024-01402-5
M. F. Arıkan, İ. Ö. Taşpınar
{"title":"Compatible relative open books on relative contact pairs via generalized square bridge diagrams","authors":"M. F. Arıkan, İ. Ö. Taşpınar","doi":"10.1007/s10474-024-01402-5","DOIUrl":"https://doi.org/10.1007/s10474-024-01402-5","url":null,"abstract":"<p>Using square bridge position, Akbulut-Ozbagci and later Arikan gave algorithms both of which construct an explicit compatible open book decomposition on a closed contact 3-manifold which results from a contact <span>((pm 1))</span>-surgery on a Legendrian link in the standard contact 3-sphere. In this article, we introduce the “generalized square bridge position” for a Legendrian link in the standard contact 5-sphere and partially generalize this result to the dimension five via an algorithm which constructs relative open book decompositions on relative contact pairs.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140016658","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
Martingale Orlicz-Hardy spaces for continuous-time 连续时间的马汀厄尔利兹-哈代空间
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-03-01 DOI: 10.1007/s10474-024-01413-2
{"title":"Martingale Orlicz-Hardy spaces for continuous-time","authors":"","doi":"10.1007/s10474-024-01413-2","DOIUrl":"https://doi.org/10.1007/s10474-024-01413-2","url":null,"abstract":"<h3>Abstract</h3> <p>We introduce several martingale Orlicz-Hardy spaces with continuous time. By use of the atomic decomposition, we establish some martingale inequalities and characterize the dualities of these spaces.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140016738","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
Linear independence of the real numbers generated by the square and cube subsequences of Thue–Morse 由 Thue-Morse 的平方和立方子序列生成的实数的线性独立性
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-29 DOI: 10.1007/s10474-024-01417-y
E. Miyanohara
{"title":"Linear independence of the real numbers generated by the square and cube subsequences of Thue–Morse","authors":"E. Miyanohara","doi":"10.1007/s10474-024-01417-y","DOIUrl":"https://doi.org/10.1007/s10474-024-01417-y","url":null,"abstract":"<p>Let <span>((t(m))_{m ge0})</span> be Thue-Morse sequence and <span>(b&gt;2)</span> be an integer.\u0000In this paper, we prove that the real numbers <span>(1)</span>, <span>(sum_{m=0}^infty {frac{t(m^2)}{{b}^{m+1}}})</span> and <span>(sum_{m=0}^infty {frac{t(m^3)}{{b}^{m+1}}})</span> are\u0000linearly independent over <span>(mathbb{Q})</span>.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140009222","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
Level aspect exponential sums involving Fourier coefficients of symmetric-square lifts 涉及对称平方升降机傅里叶系数的水平方面指数和
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-29 DOI: 10.1007/s10474-024-01411-4
F. Hou
{"title":"Level aspect exponential sums involving Fourier coefficients of symmetric-square lifts","authors":"F. Hou","doi":"10.1007/s10474-024-01411-4","DOIUrl":"https://doi.org/10.1007/s10474-024-01411-4","url":null,"abstract":"<p>Fix an integer <span>(kappage 2)</span>. Let <span>(Pge 2)</span> be a prime, and <span>(F)</span> be the\u0000symmetric-square lift of a Hecke newform <span>(fin mathcal{S}^ {ast} _kappa(P))</span>. We study the exponential sum\u0000</p><span>$$begin{aligned}mathscr{L}_F(alpha)=sum_{nsim N} A_F(n,1)e(n alpha) end{aligned}$$</span><p>\u0000by implementing an average over a family in such a way to investigate the best\u0000possible magnitude of the level aspect bound for <span>(mathscr{L}_F(alpha))</span>. We prove a uniform\u0000bound with respect to any <span>(alpha in mathbb{R})</span> and the level parameter <span>(P)</span>, and present that\u0000there exist certain forms with fairly strong oscillations in <span>(mathscr{L}_F(alpha))</span>, if the associated\u0000level of <span>(f)</span> is allowed to vary. As applications, we consider the shifted convolution\u0000sums for <span>( mathrm{GL} (3)times mathrm{GL} (d))</span>, for any <span>(dge 2)</span>, in a family as well as theWaring-Goldbach\u0000problem associated to Fourier coefficients of <span>( mathrm{SL} (3,mathbb{Z}))</span>-Maa<span>(beta)</span> forms.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140009117","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
Correction to: On the rank of the 2-class group of some imaginary biquadratic number fields 更正关于某些虚二次数域的 2 类群的秩
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-28 DOI: 10.1007/s10474-024-01404-3
A. Mouhib, S. Rouas
{"title":"Correction to: On the rank of the 2-class group of some imaginary biquadratic number fields","authors":"A. Mouhib, S. Rouas","doi":"10.1007/s10474-024-01404-3","DOIUrl":"https://doi.org/10.1007/s10474-024-01404-3","url":null,"abstract":"","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140423468","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 locally compact groups of small topological entropy 论拓扑熵小的局部紧凑群
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-28 DOI: 10.1007/s10474-024-01405-2
F. G. Russo, O. Waka
{"title":"On locally compact groups of small topological entropy","authors":"F. G. Russo, O. Waka","doi":"10.1007/s10474-024-01405-2","DOIUrl":"https://doi.org/10.1007/s10474-024-01405-2","url":null,"abstract":"<p>We discuss the finiteness of the topological entropy of continuous endomorphims for some classes of locally compact groups. Firstly, we focus on the abelian case, imposing the condition of being compactly generated, and note an interesting behaviour of slender groups. Secondly, we remove the condition of being abelian and consider nilpotent periodic locally compact <i>p</i>-groups (<i>p</i> prime), reducing the computations to the case of Sylow <i>p</i>-subgroups. Finally, we investigate locally compact Heisenberg <i>p</i>-groups <span>(mathbb{H}_n (mathbb{Q}_ p ))</span> on the field <span>(mathbb{Q}_ p )</span> of the <i>p</i>-adic rationals with <i>n</i> arbitrary positive integer.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140008969","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
Characterizing Inverse Sequences For Which Their Inverse Limits Are Homeomorphic 确定其逆极限为同构的逆序列的特征
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-20 DOI: 10.1007/s10474-024-01394-2
M. Črepnjak, T. Sovič
{"title":"Characterizing Inverse Sequences For Which Their Inverse Limits Are Homeomorphic","authors":"M. Črepnjak, T. Sovič","doi":"10.1007/s10474-024-01394-2","DOIUrl":"https://doi.org/10.1007/s10474-024-01394-2","url":null,"abstract":"<p>In [11], Mioduszewski characterized inverse sequences of polyhedra\u0000for which their inverse limits are homeomorphic. In this article, we obtain a\u0000more general characterization: we characterize inverse sequences of arbitrary compact\u0000metric spaces and continuous single-valued functions for which their inverse\u0000limits are homeomorphic. In our approach, set-valued functions are used instead\u0000of continuous single-valued functions in almost commutative diagrams. Using\u0000this characterization we give an alternative proof that the Brouwer-Janiszewski-Knaster continuum and the pseudo-arc are circle-like continua.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139918503","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
Singular Modifications Of A Classical Function 经典函数的奇异修正
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-15 DOI: 10.1007/s10474-024-01406-1
{"title":"Singular Modifications Of A Classical Function","authors":"","doi":"10.1007/s10474-024-01406-1","DOIUrl":"https://doi.org/10.1007/s10474-024-01406-1","url":null,"abstract":"<h3>Abstract</h3> <p>The present article deals with properties of one class of functions with complicated local structure. These functions can be modeled by certain operators of digits. Such operators were considered by the author earlier (for example, see [27,39] and references therein). This research is a generalization of investigations presented in the last-mentioned papers. </p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139768463","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
Egerváry's theorems for harmonic trinomials 谐波三项式的埃格瓦利定理
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2024-02-15 DOI: 10.1007/s10474-024-01403-4
{"title":"Egerváry's theorems for harmonic trinomials","authors":"","doi":"10.1007/s10474-024-01403-4","DOIUrl":"https://doi.org/10.1007/s10474-024-01403-4","url":null,"abstract":"<h3>Abstract</h3> <p>We study the arrangements of the roots in the complex plane for the lacunary harmonic polynomials called harmonic trinomials. We provide necessary and sufficient conditions so that two general harmonic trinomials have the same set of roots up to a rotation around the origin in the complex plane, a reflection over the real axis, or a composition of the previous both transformations. This extends the results of Jenő Egerváry given in [19] for the setting of trinomials to the setting of harmonic trinomials.</p>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139768443","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
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