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Hybrid Bounds on Two-Parametric Families of Weyl Sums Along Smooth Curves 光滑曲线上Weyl和两参数族的混合界
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20205904
Chang-Pao Chen, I. Shparlinski
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引用次数: 3
Ga3-Structures on del Pezzo Fibrations del Pezzo纤维的ga3结构
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195835
Masaru Nagaoka
{"title":"Ga3-Structures on del Pezzo Fibrations","authors":"Masaru Nagaoka","doi":"10.1307/MMJ/20195835","DOIUrl":"https://doi.org/10.1307/MMJ/20195835","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"10 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85898395","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: 3
Multiplicative p -Adic Approximation 乘法p进近似值
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20195785
D. Badziahin, Y. Bugeaud
{"title":"Multiplicative p -Adic Approximation","authors":"D. Badziahin, Y. Bugeaud","doi":"10.1307/mmj/20195785","DOIUrl":"https://doi.org/10.1307/mmj/20195785","url":null,"abstract":"Let p be a prime number. We give several results towards a particular instance of a conjecture of Einsiedler and Kleinbock asserting that every p-adic number x satisfies inf a,b∈Z∖{0}|ab|⋅|ax−b|p=0. We highlight a close relationship between this conjecture and the (still open) p-adic Littlewood conjecture, according to which every real number ξ satisfies inf q∈Z,q⩾1q⋅‖qξ‖⋅|q|p=0. Furthermore, we discuss the analogues of these conjectures over fields of power series.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"8 1","pages":"1-23"},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86613645","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: 4
Rigid Biholomorphic Equivalences of Rigid C2,1 Hypersurfaces M5⊂C3 C2,1超曲面M5的刚性生物全纯等价
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20205950
W. Foo, J. Merker, The-Anh Ta
{"title":"Rigid Biholomorphic Equivalences of Rigid C2,1 Hypersurfaces M5⊂C3","authors":"W. Foo, J. Merker, The-Anh Ta","doi":"10.1307/mmj/20205950","DOIUrl":"https://doi.org/10.1307/mmj/20205950","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"234 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75749235","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: 1
A Self-Affine Property of Evolutional Type Appearing in a Hamilton–Jacobi Flow Starting from the Takagi Function 从Takagi函数出发的Hamilton-Jacobi流中出现的进化型自仿射性质
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20195782
Y. Fujita, N. Hamamuki, Norikazu Yamaguchi
{"title":"A Self-Affine Property of Evolutional Type Appearing in a Hamilton–Jacobi Flow Starting from the Takagi Function","authors":"Y. Fujita, N. Hamamuki, Norikazu Yamaguchi","doi":"10.1307/mmj/20195782","DOIUrl":"https://doi.org/10.1307/mmj/20195782","url":null,"abstract":"In this paper, we study a Hamilton–Jacobi flow {Htτ}t>0 starting from the Takagi function τ. The Takagi function is well known as a pathological function that is everywhere continuous and nowhere differentiable on R. As the first result of this paper, we derive an explicit representation of {Htτ}. It turns out that Htτ is a piecewise quadratic function at any time and that the points of intersection between the parabolas are given in terms of binary expansion of real numbers. Applying the representation formula, we next give the main result, which asserts that {Htτ} has a self-affine property of evolutional type involving a time difference in the functional equality. Furthermore, we determine the optimal time until when the self-affine property is valid.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"11 1","pages":"1-16"},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91157733","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: 3
On the Fixed Point Method and Bloch’s Theorem 论不动点法与布洛赫定理
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195829
J. Cortissoz
{"title":"On the Fixed Point Method and Bloch’s Theorem","authors":"J. Cortissoz","doi":"10.1307/MMJ/20195829","DOIUrl":"https://doi.org/10.1307/MMJ/20195829","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"12 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79550271","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: 2
Global Frobenius Betti Numbers and Frobenius Euler Characteristics 全局Frobenius Betti数和Frobenius Euler特征
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195824
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
{"title":"Global Frobenius Betti Numbers and Frobenius Euler Characteristics","authors":"Alessandro De Stefani, Thomas Polstra, Yongwei Yao","doi":"10.1307/MMJ/20195824","DOIUrl":"https://doi.org/10.1307/MMJ/20195824","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"198 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72751564","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: 2
A Lower Bound for the Hausdorff Dimension of the Green Current 绿流的豪斯多夫维数的下界
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195844
H. Thelin
{"title":"A Lower Bound for the Hausdorff Dimension of the Green Current","authors":"H. Thelin","doi":"10.1307/MMJ/20195844","DOIUrl":"https://doi.org/10.1307/MMJ/20195844","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"21 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78039020","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 Fine Property of Sets at Points of Lebesgue Density Lebesgue密度点上集合的一个优良性质
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/mmj/20205874
S. Delladio
{"title":"A Fine Property of Sets at Points of Lebesgue Density","authors":"S. Delladio","doi":"10.1307/mmj/20205874","DOIUrl":"https://doi.org/10.1307/mmj/20205874","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"74 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72807455","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 Effect of Cell-Attachment on the Group of Self-Equivalences of an Elliptic Space 椭圆空间自等价群上的细胞附著效应
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2021-01-01 DOI: 10.1307/MMJ/20195840
M. Benkhalifa
{"title":"The Effect of Cell-Attachment on the Group of Self-Equivalences of an Elliptic Space","authors":"M. Benkhalifa","doi":"10.1307/MMJ/20195840","DOIUrl":"https://doi.org/10.1307/MMJ/20195840","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":"11 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79518228","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: 7
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