Annales Mathematiques du Quebec最新文献_第10页

Steiner symmetrization ((n-1)) times is sufficient to transform an ellipsoid to a ball in ({mathbb {R}}^n) Steiner对称化（（n-1））次足以在（｛mathbb｛R｝｝^n）中将椭球变换为球

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Annales Mathematiques du Quebec Pub Date : 2020-07-06 DOI: 10.1007/s40316-020-00140-8

Yude Liu, Qiang Sun, Ge Xiong

引用次数: 3

Steiner symmetrization $$(n-1)$$ ( n - 1 ) times is sufficient to trans 斯坦纳对称$$(n-1)$$ (n - 1)次足以反式

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Annales Mathematiques du Quebec Pub Date : 2020-07-06 DOI: 10.1007/s40316-020-00140-8

Yude Liu, Qiang Sun, Ge Xiong

引用次数: 3

Poisson structure on character varieties 性状变异的Poisson结构

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Annales Mathematiques du Quebec Pub Date : 2020-06-09 DOI: 10.1007/s40316-020-00138-2

Indranil Biswas, Lisa C. Jeffrey

引用次数: 1

On the structure of order 4 class groups of ({mathbb {Q}}(sqrt{n^2+1})) 关于（｛mathbb｛Q｝｝）（sqrt｛n^2+1｝）的4阶子群的结构

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Annales Mathematiques du Quebec Pub Date : 2020-05-25 DOI: 10.1007/s40316-020-00139-1

Kalyan Chakraborty, Azizul Hoque, Mohit Mishra

引用次数: 1

A combinatorial description of the monodromy of log curves 对数曲线单调性的组合描述

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Annales Mathematiques du Quebec Pub Date : 2020-05-19 DOI: 10.1007/s40316-020-00133-7

Bruno Chiarellotto, Pietro Gatti

引用次数: 0

Characterising actions on trees yielding non-trivial quasimorphisms 刻画产生非平凡拟同态的树上的作用

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Annales Mathematiques du Quebec Pub Date : 2020-05-19 DOI: 10.1007/s40316-020-00137-3

Alessandra Iozzi, Cristina Pagliantini, Alessandro Sisto

引用次数: 4

On the standard L-function for $$mathrm{GSp}_{2n} times mathrm{GL}_1$$ GSp 2 n 关于$$mathrm{GSp}_{2n} times mathrm{GL}_1$$ gsp2n的标准l函数

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Annales Mathematiques du Quebec Pub Date : 2020-05-06 DOI: 10.1007/s40316-020-00134-6

Ameya Pitale, A. Saha, Ralf Schmidt

引用次数: 0

On the standard L-function for (mathrm{GSp}_{2n} times mathrm{GL}_1) and algebraicity of symmetric fourth L-values for (mathrm{GL}_2) 关于（mathrm的标准L函数{GSp}_｛2n｝timesmathrm{GL}_1)关于（mathrm）对称第四个L-值的代数性{GL}_2)

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Annales Mathematiques du Quebec Pub Date : 2020-05-06 DOI: 10.1007/s40316-020-00134-6

Ameya Pitale, Abhishek Saha, Ralf Schmidt

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引用次数: 1

Rigid analytic vectors in locally analytic representations 局部解析表示中的刚性解析向量

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Annales Mathematiques du Quebec Pub Date : 2020-05-05 DOI: 10.1007/s40316-020-00136-4

Aranya Lahiri

引用次数: 1

Linear independence of values of G-functions, II: outside the disk of convergence G-函数值的线性独立性，Ⅱ：收敛盘外

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Annales Mathematiques du Quebec Pub Date : 2020-04-27 DOI: 10.1007/s40316-020-00135-5

S. Fischler, T. Rivoal

{"title":"Linear independence of values of G-functions, II: outside the disk of convergence","authors":"S. Fischler, T. Rivoal","doi":"10.1007/s40316-020-00135-5","DOIUrl":"10.1007/s40316-020-00135-5","url":null,"abstract":"<div>Given any non-polynomial G-function (F(z)=sum _{k=0}^infty A_kz^k) of radius of convergence R and in the kernel a G-operator (L_F), we consider the G-functions (F_n^{[s]}(z)=sum _{k=0}^infty frac{A_k}{(k+n)^s}z^k) for every integers (sge 0) and (nge 1). These functions can be analytically continued to a domain ({mathcal {D}}_F) star-shaped at 0 and containing the disk ({vert zvert <R}). Fix any (alpha in {mathcal {D}}_F cap overline{{mathbb {Q}}}^*), not a singularity of (L_F), and any number field ({mathbb {K}}) containing (alpha ) and the (A_k)’s. Let (Phi _{alpha , S}) be the ({mathbb {K}})-vector space spanned by the values (F_n^{[s]}(alpha )), (nge 1) and (0le sle S). We prove that (u_{{mathbb {K}},F}log (S)le dim _{mathbb {K}}(Phi _{alpha , S })le v_FS) for any S, for some constants (u_{{mathbb {K}},F}>0) and (v_F>0). This appears to be the first general Diophantine result for values of G-functions evaluated outside their disk of convergence. This theorem encompasses a previous result of the authors in [Linear independence of values of G-functions, J. Europ. Math. Soc. 22(5), 1531–1576 \u0000(2020)], where (alpha in overline{{mathbb {Q}}}^*) was assumed to be such that (vert alpha vert <R). Its proof relies on an explicit construction of a Padé approximation problem adapted to certain non-holomorphic functions associated to F, and it is quite different of that in the above mentioned paper. It makes use of results of André, Chudnovsky and Katz on G-operators, of a linear independence criterion à la Siegel over number fields, and of a far reaching generalization of Shidlovsky’s lemma built upon the approach of Bertrand–Beukers and Bertrand.</div>","PeriodicalId":42753,"journal":{"name":"Annales Mathematiques du Quebec","volume":"45 1","pages":"53 - 93"},"PeriodicalIF":0.5,"publicationDate":"2020-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s40316-020-00135-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50516456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1