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
Nearly fibered links with genus one 与属1的近纤维连接
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-12 DOI: 10.1007/s10474-023-01364-0
A. Cavallo, I. Matkovič
{"title":"Nearly fibered links with genus one","authors":"A. Cavallo,&nbsp;I. Matkovič","doi":"10.1007/s10474-023-01364-0","DOIUrl":"10.1007/s10474-023-01364-0","url":null,"abstract":"<div><p>We classify all the <span>(n)</span>-component links in the <span>(3)</span>-sphere that bound\u0000a Thurston norm minimizing Seifert surface <span>(Sigma)</span> with Euler characteristic <span>(chi(Sigma)=n-2)</span> and that are nearly fibered, which means that the rank of their link Floer\u0000homology group <span>(widehat{HFL})</span> in the maximal (collapsed) Alexander grading <span>(s_{text{top}})</span> is equal\u0000to two. In other words, such a link <span>(L)</span> satisfies <span>(s_{text{top}}=frac{n-chi(Sigma)}{2}=1)</span>, and in addition <span>({rm rk}widehat{HFL}_{*}(L)[1]=2)</span> and <span>({rm rk}widehat{HFL}_{*}(L)[s]=0)</span> for every <span>(s&gt;1)</span>.</p><p>The proof of the main theorem is inspired by the one of a similar recent result for knots by Baldwin and Sivek, and involves techniques from sutured Floer\u0000homology. Furthermore, we also compute the group <span>(widehat{HFL})</span> for each of these links.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50022089","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
Quasi-periodicity of (mathbb {Z}_{p^an_0}) 的拟周期性 (mathbb {Z}_{p^an_0})
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-06 DOI: 10.1007/s10474-023-01361-3
W. Zhou
{"title":"Quasi-periodicity of (mathbb {Z}_{p^an_0})","authors":"W. Zhou","doi":"10.1007/s10474-023-01361-3","DOIUrl":"10.1007/s10474-023-01361-3","url":null,"abstract":"<div><p>Let <i>p</i><sup><i>a</i></sup> be a prime power and <i>n</i><sub>0</sub> a square-free number. We prove that any complementing pair in a cyclic group of order <i>p</i><sup><i>a</i></sup><i>n</i><sub>0</sub> is quasi-periodic, with one component decomposable by the the subgroup of order <i>p</i>. The proof is by induction and reduction since the presence of the square-free factor <i>n</i><sub>0</sub> allows us to perform a Tijdeman decomposition. We also give an explicit example to show that <span>(mathbb{Z}_{72})</span> is the smallest cyclic group that fails to have the strong Tijdeman property. </p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50012268","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 the integrability of multi-dimensional rare maximal functions 关于多维稀有极大函数的可积性
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-06 DOI: 10.1007/s10474-023-01367-x
I. Japaridze, G. Oniani
{"title":"On the integrability of multi-dimensional rare maximal functions","authors":"I. Japaridze,&nbsp;G. Oniani","doi":"10.1007/s10474-023-01367-x","DOIUrl":"10.1007/s10474-023-01367-x","url":null,"abstract":"<div><p>We characterize the translation invariant monotone collections of multi-dimensional intervals for which the analogue of Stein's criterion for the integrability of the Hardy--Littlewood maximal function is true. Namely, we characterize the collections <span>(B)</span> of the mentioned type for which the conditions <span>(int_{[0,1]^d}M_B(f)&lt;infty)</span> and\u0000 <span>(int_{[0,1]^d}vert fvert log^+vert fvert &lt;infty)</span> are equivalent for functions <span>(f)</span>\u0000supported on the unit cube <span>([0,1]^d)</span>. Here <span>(M_B)</span> denotes the maximal operator associated to a collection <span>(B)</span>.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50012269","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
Interpolation on weak martingale Hardy-type spaces associated with quasi-Banach function lattice 拟banach函数格相关的弱鞅hardy型空间的插值
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-06 DOI: 10.1007/s10474-023-01360-4
N. Silas, H. Tian
{"title":"Interpolation on weak martingale Hardy-type spaces associated with quasi-Banach function lattice","authors":"N. Silas,&nbsp;H. Tian","doi":"10.1007/s10474-023-01360-4","DOIUrl":"10.1007/s10474-023-01360-4","url":null,"abstract":"<div><p>We study the real interpolation spaces between weak martingale Hardy-type spaces <span>(WH_{X}^{s}(Omega))</span> and martingale Hardy space <span>(H_{infty}^{s}(Omega))</span> associated with quasi-Banach function lattice by using atomic characterizations of weak martingale Hardy-type spaces. As applications, we obtain the corresponding results on the weighted Lorentz space and the generalized grand Lebesgue space. We point out that even in these special cases, the results obtained in this article are also new.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01360-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50012270","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
Dedekind sums and class numbers of imaginary abelian number fields 虚阿贝尔数域的Dedekind和与类数
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-06 DOI: 10.1007/s10474-023-01369-9
S. R. Louboutin
{"title":"Dedekind sums and class numbers of imaginary abelian number fields","authors":"S. R. Louboutin","doi":"10.1007/s10474-023-01369-9","DOIUrl":"10.1007/s10474-023-01369-9","url":null,"abstract":"<div><p>As a consequence of their work, Bruce C. Berndt, Ronald J. Evans, Larry Joel Goldstein and Michael Razar obtained a formula for the square of the class number of an imaginary quadratic number field in terms of Dedekind sums. We give a short proof of it and also express the relative class numbers of imaginary abelian number fields in terms of Dedekind sums.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50012267","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 the asymptotics of coefficients of Rankin–Selberg L-functions 关于Rankin-Selberg l -函数系数的渐近性
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-06 DOI: 10.1007/s10474-023-01357-z
H. Lao, H. Zhu
{"title":"On the asymptotics of coefficients of Rankin–Selberg L-functions","authors":"H. Lao,&nbsp;H. Zhu","doi":"10.1007/s10474-023-01357-z","DOIUrl":"10.1007/s10474-023-01357-z","url":null,"abstract":"<div><p>Let <i>f</i> and <i>g</i> be two different holomorphic cusp froms or Maass cusp forms for the full modular group <span>(SL(2,mathbb{Z}))</span>. We are interested in coefficients of Rankin–Selberg <i>L</i>-functions, and establish some bounds for </p><div><div><span>$$begin{aligned}sum_{nleq x} lambda_{{rm sym}^iftimes {rm sym}^jg}(n),quad\u0000sum_{nleq x}lambda_f(n^i)lambda_g(n^j),\u0000sum_{nleq x} |lambda_{{rm sym}^iftimes {rm sym}^jg}(n)|, quad \u0000sum_{nleq x}|lambda_f(n^i)lambda_g(n^j)|,\u0000 end{aligned}$$</span></div></div><p>\u0000 and </p><div><div><span>$$sum _{nleq x} max bigl{|lambda_{{rm sym}^iftimes {rm sym}^jg}(n)|^{2varphi}, |lambda_{{rm sym}^iftimes {rm sym}^jg}(n+h)|^{2varphi} bigr}, $$</span></div></div><p>\u0000 where <span>(varphi&gt;0)</span> and <i>h</i> is a fixed positive integer.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50012266","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
Variable anisotropic fractional integral operators 可变各向异性分数积分算子
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-04 DOI: 10.1007/s10474-023-01368-w
B. D. Li, J. W. Sun, Z. Z. Yang
{"title":"Variable anisotropic fractional integral operators","authors":"B. D. Li,&nbsp;J. W. Sun,&nbsp;Z. Z. Yang","doi":"10.1007/s10474-023-01368-w","DOIUrl":"10.1007/s10474-023-01368-w","url":null,"abstract":"<div><p>In 2011, Dekel et al. introduced a highly geometric Hardy spaces <span>(H^p(Theta))</span>, for the full range <span>(0&lt;ple 1)</span>, which are constructed over a continuous multilevel\u0000ellipsoid cover <span>(Theta)</span> of <span>(mathbb{R}^n)</span> with high anisotropy in the sense that the ellipsoids\u0000can change shape rapidly from point to point and from level to level. We introduce\u0000a new class of fractional integral operators <span>(T_{alpha})</span> adapted to ellipsoid cover <span>(Theta)</span> and\u0000obtained their boundedness from <span>(H^p(Theta))</span> to <span>(H^q(Theta))</span> and from <span>(H^p(Theta))</span> to <span>(L^q(mathbb{R}^n))</span>,\u0000where <span>(frac{1}{q}=frac{1}{p}+alpha)</span> and <span>(0&lt;alpha&lt;1)</span>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01368-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50015454","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
A note on the partial sum of Apostol's Möbius function 关于Apostol Möbius函数的部分和的注释
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-04 DOI: 10.1007/s10474-023-01363-1
D. Banerjee, Y. Fujisawa, T. M. Minamide, Y. Tanigawa
{"title":"A note on the partial sum of Apostol's Möbius function","authors":"D. Banerjee,&nbsp;Y. Fujisawa,&nbsp;T. M. Minamide,&nbsp;Y. Tanigawa","doi":"10.1007/s10474-023-01363-1","DOIUrl":"10.1007/s10474-023-01363-1","url":null,"abstract":"<div><p>T. M. Apostol introduced \u0000a certain Möbius function <span>(mu_{k}(cdot))</span> of order k, where <span>(kgeq 2)</span> is a fixed integer. Let <i>k</i>=1,\u0000then <span>(mu_{1}(cdot))</span> coincides with the Möbius function <span>(mu(cdot))</span>, in the usual sense.\u0000For any fixed <span>(kgeq 2)</span>, he proved the asymptotic formula <span>(sum_{nleq x}mu_{k}(n)=A_{k}x+O_{k}(x^{1/k}log x))</span>\u0000as <span>(xtoinfty)</span>, where <span>(A_{k})</span> is a positive constant. Later, under the Riemann Hypothesis, D. Suryanarayana showed the <i>O</i>-term is\u0000<span>(O_{k}bigl(x^{frac{4k}{4k^{2}+1}}expbigl(Dfrac{log x}{loglog x}bigr)!bigr))</span>\u0000with some positive constant <i>D</i>. In this paper, without using any unproved hypothesis we shall prove that\u0000the <i>O</i>-term obtained by Apostol can be improved to <span>(O_{k}bigl(x^{1/k}expbigl(-D_{k}frac{(log x)^{3/5}}{(log log x)^{1/5}}bigr)!bigr))</span>\u0000with some positive constant <span>(D_{k})</span>.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50015460","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 the zero-divisor hypergraph of a reduced ring 约简环的零因子超图
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-04 DOI: 10.1007/s10474-023-01362-2
T. Asir, A. Kumar, A. Mehdi
{"title":"On the zero-divisor hypergraph of a reduced ring","authors":"T. Asir,&nbsp;A. Kumar,&nbsp;A. Mehdi","doi":"10.1007/s10474-023-01362-2","DOIUrl":"10.1007/s10474-023-01362-2","url":null,"abstract":"<div><p>The concept of zero-divisor graphs of rings is widely used for establishing relationships between the properties of graphs and the properties of the underlying ring. The zero-divisor graph of a ring is generalized to the <i>k</i>-zero-divisor hypergraph of a ring <i>R</i> for <span>(kin mathbb{N})</span>, which is denoted by <span>(mathcal{H}_{k}(R))</span>.\u0000This paper is an endeavor to discuss some properties of zero-divisor hypergraphs.\u0000We determine the diameter and girth of <span>(mathcal{H}_{k}(R))</span> whenever <i>R</i> is reduced.\u0000Also, we characterize all commutative rings <i>R</i> for which <span>(mathcal{H}_{k}(R))</span> is in some known class of graphs.\u0000Further, we obtain certain necessary conditions for <span>(mathcal{H}_{k}(R))</span> to be a Hamilton Berge cycle and a flag-traversing tour.\u0000Moreover, we answer a case of the question raised by Eslahchi et al. [15].</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01362-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50015453","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
On a Piatetski-Shapiro analog problem over almost-primes 关于一个近似素数的Piatetski-Shapiro模拟问题
IF 0.9 3区 数学
Acta Mathematica Hungarica Pub Date : 2023-09-04 DOI: 10.1007/s10474-023-01371-1
W.-G. Zhai, Y.-T. Zhao
{"title":"On a Piatetski-Shapiro analog problem over almost-primes","authors":"W.-G. Zhai,&nbsp;Y.-T. Zhao","doi":"10.1007/s10474-023-01371-1","DOIUrl":"10.1007/s10474-023-01371-1","url":null,"abstract":"<div><p>Let <i>N</i> be a sufficiently large number, <span>(mathfrak{A})</span> and <span>(mathfrak{B})</span> be subsets of <span>({N+1, ldots , 2N})</span>. We prove that if <span>(1&lt;c&lt;frac{6}{5})</span>, <span>(|mathfrak{A}|, |mathfrak{B}|gg N^{2-2delta})</span> and <span>(delta&gt;0)</span> is sufficiently small, then the equation\u0000</p><div><div><span>$$ab=lfloor n^crfloor,quad ainmathfrak{A}, binmathfrak{B}\u0000$$</span></div></div><p>\u0000 is solvable, which improves the result of Rivat and Sárközy [14]. We also investigate the solvability of the equation\u0000</p><div><div><span>$$ab=lfloor P_k^crfloor,quad ainmathfrak{A}, binmathfrak{B}, 1&lt;c&lt;c_0,\u0000$$</span></div></div><p>\u0000 \u0000where <i>P</i><sub><i>k</i></sub> denotes an almost-prime with at most <i>k</i> prime factors and <i>c</i><sub>0</sub> is a fixed real number depends on <i>k</i>.\u0000</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10474-023-01371-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50015456","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
首页 上一页
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