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JAZ volume 111 issue 1 Cover and Front matter jazz第111卷第1期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-08-01 DOI: 10.1017/s1446788720000312
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引用次数: 0
GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS 超几何周期-逼近的鬼影与同余
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-07-18 DOI: 10.1017/S1446788723000083
A. Varchenko, W. Zudilin
{"title":"GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS","authors":"A. Varchenko, W. Zudilin","doi":"10.1017/S1446788723000083","DOIUrl":"https://doi.org/10.1017/S1446788723000083","url":null,"abstract":"\u0000 We prove general Dwork-type congruences for constant terms attached to tuples of Laurent polynomials. We apply this result to establishing arithmetic and p-adic analytic properties of functions originating from polynomial solutions modulo \u0000 \u0000 \u0000 \u0000$p^s$\u0000\u0000 \u0000 of hypergeometric and Knizhnik–Zamolodchikov (KZ) equations, solutions which come as coefficients of master polynomials and whose coefficients are integers. As an application, we show that the simplest example of a p-adic KZ connection has an invariant line subbundle while its complex analog has no nontrivial subbundles due to the irreducibility of its monodromy representation.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2021-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87332550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
SOME $boldsymbol {L^p}$ -HARDY AND $boldsymbol {L^p}$ -RELLICH TYPE INEQUALITIES WITH REMAINDER TERMS 一些$boldsymbol {L^p}$ -HARDY和$boldsymbol {L^p}$ -RELLICH型带余项不等式
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-22 DOI: 10.1017/S1446788721000100
Yongyang Jin, Shoufeng Shen
{"title":"SOME \u0000$boldsymbol {L^p}$\u0000 -HARDY AND \u0000$boldsymbol {L^p}$\u0000 -RELLICH TYPE INEQUALITIES WITH REMAINDER TERMS","authors":"Yongyang Jin, Shoufeng Shen","doi":"10.1017/S1446788721000100","DOIUrl":"https://doi.org/10.1017/S1446788721000100","url":null,"abstract":"Abstract In this paper we obtain some improved \u0000$L^p$\u0000 -Hardy and \u0000$L^p$\u0000 -Rellich inequalities on bounded domains of Riemannian manifolds. For Cartan–Hadamard manifolds we prove the inequalities with sharp constants and with weights being hyperbolic functions of the Riemannian distance.","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"3 1","pages":"79 - 98"},"PeriodicalIF":0.7,"publicationDate":"2021-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86688076","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY 椭圆上同调在同伦以内是唯一的
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-14 DOI: 10.1017/S1446788722000209
J. M. Davies
{"title":"ELLIPTIC COHOMOLOGY IS UNIQUE UP TO HOMOTOPY","authors":"J. M. Davies","doi":"10.1017/S1446788722000209","DOIUrl":"https://doi.org/10.1017/S1446788722000209","url":null,"abstract":"Abstract Homotopy theory folklore tells us that the sheaf defining the cohomology theory \u0000$operatorname {mathrm {Tmf}}$\u0000 of topological modular forms is unique up to homotopy. Here we provide a proof of this fact, although we claim no originality for the statement. This retroactively reconciles all previous constructions of \u0000$operatorname {mathrm {Tmf}}$\u0000 .","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"24 1","pages":"99 - 118"},"PeriodicalIF":0.7,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77625601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
JAZ volume 110 issue 3 Cover and Back matter jazz第110卷第3期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-01 DOI: 10.1017/s1446788720000300
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引用次数: 0
JAZ volume 110 issue 3 Cover and Front matter jazz第110卷第3期封面和封面问题
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-01 DOI: 10.1017/s1446788720000294
{"title":"JAZ volume 110 issue 3 Cover and Front matter","authors":"","doi":"10.1017/s1446788720000294","DOIUrl":"https://doi.org/10.1017/s1446788720000294","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"48 1","pages":"f1 - f2"},"PeriodicalIF":0.7,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73534984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
INDEX 指数
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-06-01 DOI: 10.1017/s1446788718000587
{"title":"INDEX","authors":"","doi":"10.1017/s1446788718000587","DOIUrl":"https://doi.org/10.1017/s1446788718000587","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"1 1","pages":"431 - 432"},"PeriodicalIF":0.7,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73047095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS 完全不连通局部紧群的cayley -标签图与不变量
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-05-26 DOI: 10.1017/S1446788722000040
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, R. G. Möller
{"title":"CAYLEY–ABELS GRAPHS AND INVARIANTS OF TOTALLY DISCONNECTED, LOCALLY COMPACT GROUPS","authors":"Arnbjörg Soffía Árnadóttir, Waltraud Lederle, R. G. Möller","doi":"10.1017/S1446788722000040","DOIUrl":"https://doi.org/10.1017/S1446788722000040","url":null,"abstract":"Abstract A connected, locally finite graph \u0000$Gamma $\u0000 is a Cayley–Abels graph for a totally disconnected, locally compact group G if G acts vertex-transitively on \u0000$Gamma $\u0000 with compact, open vertex stabilizers. Define the minimal degree of G as the minimal degree of a Cayley–Abels graph of G. We relate the minimal degree in various ways to the modular function, the scale function and the structure of compact open subgroups. As an application, we prove that if \u0000$T_{d}$\u0000 denotes the d-regular tree, then the minimal degree of \u0000$mathrm{Aut}(T_{d})$\u0000 is d for all \u0000$dgeq 2$\u0000 .","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"44 1","pages":"145 - 177"},"PeriodicalIF":0.7,"publicationDate":"2021-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73470937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR ${boldsymbol H}^{boldsymbol{infty}}$ MAPS ${boldsymbol H}^{boldsymbol{infty}}$映射的密集稳定秩和朗格型逼近定理
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-05-12 DOI: 10.1017/S1446788721000045
A. Brudnyi
{"title":"DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR \u0000${boldsymbol H}^{boldsymbol{infty}}$\u0000 MAPS","authors":"A. Brudnyi","doi":"10.1017/S1446788721000045","DOIUrl":"https://doi.org/10.1017/S1446788721000045","url":null,"abstract":"Abstract Let \u0000$H^infty ({mathbb {D}}times {mathbb {N}})$\u0000 be the Banach algebra of bounded holomorphic functions defined on the disjoint union of countably many copies of the open unit disk \u0000${mathbb {D}}subset {{mathbb C}}$\u0000 . We show that the dense stable rank of \u0000$H^infty ({mathbb {D}}times {mathbb {N}})$\u0000 is \u0000$1$\u0000 and, using this fact, prove some nonlinear Runge-type approximation theorems for \u0000$H^infty ({mathbb {D}}times {mathbb {N}})$\u0000 maps. Then we apply these results to obtain a priori uniform estimates of norms of approximating maps in similar approximation problems for the algebra \u0000$H^infty ({mathbb {D}})$\u0000 .","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"5 1","pages":"289 - 317"},"PeriodicalIF":0.7,"publicationDate":"2021-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77001527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
JAZ volume 110 issue 2 Cover and Back matter jazz第110卷第2期封面和封底
IF 0.7 4区 数学
Journal of the Australian Mathematical Society Pub Date : 2021-04-01 DOI: 10.1017/s1446788720000282
{"title":"JAZ volume 110 issue 2 Cover and Back matter","authors":"","doi":"10.1017/s1446788720000282","DOIUrl":"https://doi.org/10.1017/s1446788720000282","url":null,"abstract":"","PeriodicalId":50007,"journal":{"name":"Journal of the Australian Mathematical Society","volume":"95 1","pages":"b1 - b2"},"PeriodicalIF":0.7,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80573180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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