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Extrapolating the mean-values of multiplicative functions 外推乘法函数的均值
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90004-8
P.D.T.A. Elliott
{"title":"Extrapolating the mean-values of multiplicative functions","authors":"P.D.T.A. Elliott","doi":"10.1016/1385-7258(89)90004-8","DOIUrl":"10.1016/1385-7258(89)90004-8","url":null,"abstract":"<div><p>It is shown that certain commonly occurring conditions may be factored out of sums of multiplicative arithmetic functions.</p><p>A function is <em>arithmetic</em> if it is defined on the positive integers. Those complex-valued arithmetic functions g which satisfy the relation <em>g</em>(<em>ab</em>) = <em>g</em>(<em>a</em>)<em>g</em>(<em>b</em>) for all coprime pairs of positive integers a, b are here called <em>multiplicative</em>. In this paper <em>g</em> will be a multiplicative function which satisfies |<em>g</em>(<em>n</em>)| ≤ 1 for all positive integers <em>n</em>.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 409-420"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90004-8","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"93777321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
Déformations de l'algèbre des automorphismes d'un fibré principal 主纤维自同构代数的变形
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90008-5
Pierre B.A. Lecomte , Claude Roger
{"title":"Déformations de l'algèbre des automorphismes d'un fibré principal","authors":"Pierre B.A. Lecomte ,&nbsp;Claude Roger","doi":"10.1016/1385-7258(89)90008-5","DOIUrl":"10.1016/1385-7258(89)90008-5","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 457-463"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90008-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"94543496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Self-dual normal bases 自对偶正规基
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90002-4
Eva Bayer-Fluckiger
{"title":"Self-dual normal bases","authors":"Eva Bayer-Fluckiger","doi":"10.1016/1385-7258(89)90002-4","DOIUrl":"https://doi.org/10.1016/1385-7258(89)90002-4","url":null,"abstract":"<div><p>Every Galois extension of odd degree has a self-dual normal basis.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 379-383"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90002-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"92121409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Point spectra of Cesàro matrices Cesàro矩阵的点谱
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90009-7
I.J. Maddox
{"title":"Point spectra of Cesàro matrices","authors":"I.J. Maddox","doi":"10.1016/1385-7258(89)90009-7","DOIUrl":"10.1016/1385-7258(89)90009-7","url":null,"abstract":"<div><p>For all positive a the point spectrum of the (<em>C</em>, α) matrix is determined, where the matrix is regarded as an operator on certain Banach sequence spaces. In particular the point spectrum is obtained in the spaces <em>I</em><sub><em>p</em></sub>(<em>X</em>), with 1&lt;<em>p</em>≤∞, where <em>X</em> is a Banach space.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 465-470"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90009-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"99062947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the number of points determining a canonical curve 关于确定一条标准曲线的点的数目
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90012-7
Jan Stevens
{"title":"On the number of points determining a canonical curve","authors":"Jan Stevens","doi":"10.1016/1385-7258(89)90012-7","DOIUrl":"10.1016/1385-7258(89)90012-7","url":null,"abstract":"<div><p>We show that through <em>g</em> + 5 general points of <span><math><mtext>P</mtext></math></span><sup><em>g</em>−1</sup> passes a canonical curve of genus g. For low, odd values of g one may assign more points (<em>g</em>+5+[6/<em>g</em>−2]). The proof is based on a study of the normal bundle of <em>g</em>-cuspidal rational curves.</p><p>These facts have consequences for the smoothability of the curve singularity consisting of r lines through the origin of <em>k</em><sup><em>n</em></sup>, <em>n</em>&lt;<em>r</em>≤(<sub>2</sub><sup><em>n</em>+1</sup>), in generic position. We strengthen some results of Pinkham and Greuel on such curves.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 485-494"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90012-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"108808336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 22
The normal part of an unbounded operator 无界算子的正规部分
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90013-9
Jan Stochel, F.H. Szafraniec
{"title":"The normal part of an unbounded operator","authors":"Jan Stochel,&nbsp;F.H. Szafraniec","doi":"10.1016/1385-7258(89)90013-9","DOIUrl":"10.1016/1385-7258(89)90013-9","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 495-503"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90013-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"99107832","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 18
Postulation and gonality of projective curves 射影曲线的公设和向性
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90001-2
E. Ballico
{"title":"Postulation and gonality of projective curves","authors":"E. Ballico","doi":"10.1016/1385-7258(89)90001-2","DOIUrl":"10.1016/1385-7258(89)90001-2","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 365-377"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90001-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"101905640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Updown generation of Beatty sequences Beatty序列的上下生成
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90003-6
N.G. de Bruijn
{"title":"Updown generation of Beatty sequences","authors":"N.G. de Bruijn","doi":"10.1016/1385-7258(89)90003-6","DOIUrl":"https://doi.org/10.1016/1385-7258(89)90003-6","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 385-407"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90003-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91983060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
The Clebsch-Gordan coefficients for the quantum group SμU(2) and q-Hahn polynomials 量子群SμU(2)和q-Hahn多项式的Clebsch-Gordan系数
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90007-3
H.T. Koelink , T.H. Koornwinder
{"title":"The Clebsch-Gordan coefficients for the quantum group SμU(2) and q-Hahn polynomials","authors":"H.T. Koelink ,&nbsp;T.H. Koornwinder","doi":"10.1016/1385-7258(89)90007-3","DOIUrl":"10.1016/1385-7258(89)90007-3","url":null,"abstract":"<div><p>The tensor product of two unitary irreducible representations of the quantum group <em>S</em><sub><em>μ</em></sub><em>U</em>(2) is decomposed in a direct sum of unitary irreducible representations with explicit realizations. The Clebsch-Gordan coefficients yield the orthogonality relations for <em>q</em>-Hahn and dual <em>q</em>-Hahn polynomials.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 443-456"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90007-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"106579550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 38
A submultiplicative function 一个次乘法函数
Indagationes Mathematicae (Proceedings) Pub Date : 1989-01-01 DOI: 10.1016/1385-7258(89)90006-1
Jan Gustavsson , Lech Maligranda , Jaak Peetre
{"title":"A submultiplicative function","authors":"Jan Gustavsson ,&nbsp;Lech Maligranda ,&nbsp;Jaak Peetre","doi":"10.1016/1385-7258(89)90006-1","DOIUrl":"https://doi.org/10.1016/1385-7258(89)90006-1","url":null,"abstract":"","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 4","pages":"Pages 435-442"},"PeriodicalIF":0.0,"publicationDate":"1989-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/1385-7258(89)90006-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"137228700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 23
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