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Quasi-quadratic modules in pseudo-valuation domain 伪评估域中的准二次模组
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-08-29 DOI: 10.1007/s10998-024-00605-1
Masato Fujita, Masaru Kageyama
{"title":"Quasi-quadratic modules in pseudo-valuation domain","authors":"Masato Fujita, Masaru Kageyama","doi":"10.1007/s10998-024-00605-1","DOIUrl":"https://doi.org/10.1007/s10998-024-00605-1","url":null,"abstract":"<p>We study quasi-quadratic modules in a pseudo-valuation domain <i>A</i> whose strict units admit a square root. Let <span>(mathfrak X_R^N)</span> denote the set of quasi-quadratic modules in an <i>R</i>-module <i>N</i>, where <i>R</i> is a commutative ring. It is known that there exists a unique overring <i>B</i> of <i>A</i> such that <i>B</i> is a valuation ring with the valuation group <span>((G,le ))</span> and the maximal ideal of <i>B</i> coincides with that of <i>A</i>. Let <i>F</i> be the residue field of <i>B</i>. In the above setting, we found a one-to-one correspondence between <span>({mathfrak {X}}_A^A)</span> and a subset of <span>(prod _{g in G,g ge e} {mathfrak {X}}_{F_0}^F)</span>.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"10 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225267","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
Sums of multidimensional Kloosterman sums 多维克罗斯特曼总和
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-08-12 DOI: 10.1007/s10998-024-00606-0
Igor E. Shparlinski
{"title":"Sums of multidimensional Kloosterman sums","authors":"Igor E. Shparlinski","doi":"10.1007/s10998-024-00606-0","DOIUrl":"https://doi.org/10.1007/s10998-024-00606-0","url":null,"abstract":"<p>We obtain a new bound on certain multiple sums with multidimensional Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums in very small families.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"26 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197655","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
In memoriam Pál Révész (1934–2022) 悼念帕尔-雷韦什（1934-2022）
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-31 DOI: 10.1007/s10998-024-00580-7
Endre Csáki, Antónia Földes
{"title":"In memoriam Pál Révész (1934–2022)","authors":"Endre Csáki, Antónia Földes","doi":"10.1007/s10998-024-00580-7","DOIUrl":"https://doi.org/10.1007/s10998-024-00580-7","url":null,"abstract":"","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"62 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141868670","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 difference bases of $$mathbb {Z}_{m}$$ 关于 $$mathbb {Z}_{m}$$ 的差分基础
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-10 DOI: 10.1007/s10998-024-00598-x
Yu Zhang
{"title":"On the difference bases of $$mathbb {Z}_{m}$$","authors":"Yu Zhang","doi":"10.1007/s10998-024-00598-x","DOIUrl":"https://doi.org/10.1007/s10998-024-00598-x","url":null,"abstract":"<p>For any positive integer <i>m</i>, let <span>(mathbb {Z}_m)</span> be the cyclic group of order <i>m</i>. For any subset <span>(Asubseteq mathbb {Z}_{m})</span> and any <span>(nin mathbb {Z}_{m})</span>, let <span>(delta _{A}(n)=#{(a,b)|n=a-b, ain A, bin A})</span>. In this paper, we prove that, for any positive integer <i>m</i>, there exists a subset <i>A</i> of <span>(mathbb {Z}_m)</span> such that <span>(delta _A (n)le 5)</span> for all <span>(n in mathbb {Z}_m)</span> with at most 3 exceptions, which improves a 2010 result of Y.–G. Chen &amp; T. Sun.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"44 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141587152","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 2-Killing vector fields in almost contact metric geometry 论几乎接触计量几何中的 2 Killing 向量场
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-09 DOI: 10.1007/s10998-024-00603-3
Adara M. Blaga, Cihan Özgür
{"title":"On 2-Killing vector fields in almost contact metric geometry","authors":"Adara M. Blaga, Cihan Özgür","doi":"10.1007/s10998-024-00603-3","DOIUrl":"https://doi.org/10.1007/s10998-024-00603-3","url":null,"abstract":"<p>We characterize a 2-Killing Reeb vector field of a contact metric manifold, we describe the 2-Killing vector fields pointwise collinear with the Reeb vector field of the structure, and we study them in the general Riemannian case. On the other hand, we obtain some properties when the Reeb vector field is 2-Killing and the manifold is a Ricci soliton, a Yamabe soliton, a hyperbolic Ricci soliton, or a hyperbolic Yamabe soliton with potential vector field pointwise collinear with the Reeb vector field of the structure.\u0000</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141577796","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
Pseudo-symmetric almost Kenmotsu 3-manifolds 伪对称近 Kenmotsu 3-manifolds
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-08 DOI: 10.1007/s10998-024-00591-4
Jun-ichi Inoguchi, Ji-Eun Lee
{"title":"Pseudo-symmetric almost Kenmotsu 3-manifolds","authors":"Jun-ichi Inoguchi, Ji-Eun Lee","doi":"10.1007/s10998-024-00591-4","DOIUrl":"https://doi.org/10.1007/s10998-024-00591-4","url":null,"abstract":"<p>We study the semi-symmetry and pseudo-symmetry of almost Kenmotsu 3-manifolds. We prove that non-locally symmetric pseudo-symmetric <i>H</i>-almost Kenmotsu 3-manifolds are certain generalized almost Kenmotsu <span>((kappa ,mu ,nu ))</span>-spaces.\u0000</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"87 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572592","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 lower bound of weighted representation function 加权表示函数的下界
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-08 DOI: 10.1007/s10998-024-00592-3
Shi-Qiang Chen
{"title":"The lower bound of weighted representation function","authors":"Shi-Qiang Chen","doi":"10.1007/s10998-024-00592-3","DOIUrl":"https://doi.org/10.1007/s10998-024-00592-3","url":null,"abstract":"<p>For any given set <i>A</i> of nonnegative integers and for any given two positive integers <span>(k_1,k_2)</span>, <span>(R_{k_1,k_2}(A,n))</span> is defined as the number of solutions of the equation <span>(n=k_1a_1+k_2a_2)</span> with <span>(a_1,a_2in A)</span>. In this paper, we prove that if integer <span>(kge 2)</span> and set <span>(Asubseteq {mathbb {N}})</span> such that <span>(R_{1,k}(A,n)=R_{1,k}({mathbb {N}}setminus A,n))</span> holds for all integers <span>(nge n_0)</span>, then <span>(R_{1,k}(A,n)gg log n)</span>.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"27 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572597","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
Conformal vector fields of a class of Finsler spaces 一类芬斯勒空间的共形向量场
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-07 DOI: 10.1007/s10998-024-00594-1
Guojun Yang
{"title":"Conformal vector fields of a class of Finsler spaces","authors":"Guojun Yang","doi":"10.1007/s10998-024-00594-1","DOIUrl":"https://doi.org/10.1007/s10998-024-00594-1","url":null,"abstract":"<p>In this paper, we first give two fundamental principles to characterize conformal vector fields of <span>((alpha ,beta ))</span>-spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of <span>((alpha ,beta ))</span>-spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively flat Randers spaces.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"25 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572593","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 limit theorem for runs containing two types of contaminations 包含两类污染的运行极限定理
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-06 DOI: 10.1007/s10998-024-00600-6
István Fazekas, Borbála Fazekas, Michael Ochieng Suja
{"title":"A limit theorem for runs containing two types of contaminations","authors":"István Fazekas, Borbála Fazekas, Michael Ochieng Suja","doi":"10.1007/s10998-024-00600-6","DOIUrl":"https://doi.org/10.1007/s10998-024-00600-6","url":null,"abstract":"<p>In this paper, sequences of trials having three outcomes are studied. The outcomes are labelled as success, failure of type I and failure of type II. A run is called at most <span>(1+1)</span> contaminated, if it contains at most one failure of type I and at most one failure of type II. The accompanying distribution for the length of the longest at most <span>(1+1)</span> contaminated run is obtained. The proof is based on a powerful lemma of Csáki, Földes and Komlós. Besides a mathematical proof, simulation results supporting our theorem are also presented.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"50 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572596","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
Bounded and homoclinic-like solutions of second-order singular difference equations 二阶奇异差分方程的有界解和类同解
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-07-06 DOI: 10.1007/s10998-024-00596-z
Ruyun Ma, Jiao Zhao
{"title":"Bounded and homoclinic-like solutions of second-order singular difference equations","authors":"Ruyun Ma, Jiao Zhao","doi":"10.1007/s10998-024-00596-z","DOIUrl":"https://doi.org/10.1007/s10998-024-00596-z","url":null,"abstract":"<p>We are concerned with the existence of positive solutions for the boundary value problem </p><span>$$begin{aligned} left{ begin{array}{ll} -D^{2}u(n-1)+c(n)Du(n)+a(n)u(n)=frac{b(n)}{(u(n))^p},&amp;{}quad nin mathbb {Z}, lim _{|n|rightarrow +infty }u(n)=0, end{array}right. end{aligned}$$</span><p>where <span>(a,b:mathbb {Z}rightarrow mathbb {R})</span>, <span>(c:mathbb {Z}rightarrow (0,1))</span>, <span>(p&gt;0)</span>, and <i>D</i> is the forward difference operator. The main tools used are fixed point theorems of cone-compressing and cone-condensing type.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572594","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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