发布求助
文献互助 智能选刊 最新文献

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI最新文献

筛选
英文 中文
Higher dimensional spiral Delone sets 高维螺旋Delone集
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2020-10-13 DOI: 10.7169/facm/1958
F. Adiceam, Ioannis Tsokanos
{"title":"Higher dimensional spiral Delone sets","authors":"F. Adiceam, Ioannis Tsokanos","doi":"10.7169/facm/1958","DOIUrl":"https://doi.org/10.7169/facm/1958","url":null,"abstract":"A Delone set in $mathbb{R}^n$ is a set such that (a) the distance between any two of its points is uniformly bounded below by a strictly positive constant and such that (b) the distance from any point to the remaining points in the set is uniformly bounded above. Delone sets are thus sets of points enjoying nice spacing properties, and appear therefore naturally in mathematical models for quasicrystals. \u0000Define a spiral set in $mathbb{R}^n$ as a set of points of the form $left{sqrt[n]{k}cdotboldsymbol{u}_kright}_{kge 1}$, where $left(boldsymbol{u}_kright)_{kge 1}$ is a sequence in the unit sphere $mathbb{S}^{n-1}$. In the planar case $n=2$, spiral sets serve as natural theoretical models in phyllotaxis (the study of configurations of leaves on a plant stem), and an important example in this class includes the sunflower spiral. \u0000Recent works by Akiyama, Marklof and Yudin provide a reasonable complete characterisation of planar spiral sets which are also Delone. A related problem that has emerged in several places in the literature over the past fews years is to determine whether this theory can be extended to higher dimensions, and in particular to show the existence of spiral Delone sets in any dimension. \u0000This paper addresses this question by characterising the Delone property of a spiral set in terms of packing and covering conditions satisfied by the spherical sequence $left(boldsymbol{u}_kright)_{kge 1}$. This allows for the construction of explicit examples of spiral Delone sets in $mathbb{R}^n$ for all $nge 2$, which boils down to finding a sequence of points in $mathbb{S}^{n-1}$ enjoying some optimal distribution properties.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43876060","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: 2
Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height 仿射空间中态射的周期前点和有界空间和高度的周期前点
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2020-09-02 DOI: 10.7169/facm/2022
J. Mello
{"title":"Cyclotomic preperiodic points for morphismsin affine spaces and preperiodic points with bounded house and height","authors":"J. Mello","doi":"10.7169/facm/2022","DOIUrl":"https://doi.org/10.7169/facm/2022","url":null,"abstract":"Under special conditions, we prove that the set of preperiodic points for semigroups of self-morphisms of affine spaces falling on cyclotomic closures is not dense. generalising results of Ostafe and Young (2020). We also extend previous results about boundness of house and height on certain preperiodicity sets of higher dimension in semigroup dynamics.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49116930","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: 0
First moments of some Hecke $L$-functions of prime moduli 一些素模Hecke $L$函数的一阶矩
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2020-05-05 DOI: 10.7169/facm/1936
Peng Gao, Liangyi Zhao
{"title":"First moments of some Hecke $L$-functions of prime moduli","authors":"Peng Gao, Liangyi Zhao","doi":"10.7169/facm/1936","DOIUrl":"https://doi.org/10.7169/facm/1936","url":null,"abstract":"We study the first moments of central values of Hecke $L$-functions associated with quadratic, cubic and quartic symbols to prime moduli. This also enables us to obtain results on first moments of central values of certain families of cubic and quartic Dirichlet $L$-functions of prime moduli.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46079408","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
On two conjectures regarding generalized sequence of derangements 关于广义无序序列的两个猜想
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2020-04-22 DOI: 10.7169/facm/1989
Eryk Lipka, Piotr Miska
{"title":"On two conjectures regarding generalized sequence of derangements","authors":"Eryk Lipka, Piotr Miska","doi":"10.7169/facm/1989","DOIUrl":"https://doi.org/10.7169/facm/1989","url":null,"abstract":"The second author studied arithmetic properties of a class of sequences that generalize the sequence of derangements. The aim of the following paper is to disprove two conjectures stated in cite{miska}. The first conjecture regards the set of prime divisors of their terms. The latter one is devoted to the order of magnitude of considered sequences.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44218504","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: 0
Automorphic pairs of distributions on $mathbb{R}$ and Maass forms of real weight $mathbb{R}$上的自同构分布对和实权值的mass形式
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2020-02-26 DOI: 10.7169/facm/1990
T. Miyazaki
{"title":"Automorphic pairs of distributions on $mathbb{R}$ and Maass forms of real weight","authors":"T. Miyazaki","doi":"10.7169/facm/1990","DOIUrl":"https://doi.org/10.7169/facm/1990","url":null,"abstract":"We give a correspondence between automorphic pairs of distributions on $mathbb{R}$ and Dirichlet series satisfying functional equations and some additional analytic conditions. Moreover, we show that the notion of automorphic pairs of distributions on $mathbb{R}$ can be regarded as a generalization of automorphic distributions on smooth principal series representations of the universal covering group of $SL(2,mathbb{R})$. As an application, we prove Weil type converse theorems for automorphic distributions and Maass forms of real weights.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45760085","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: 0
A footnote to a theorem of Halász Halász定理的一个脚注
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-11-01 DOI: 10.7169/facm/1847
'Eric Saias, K. Seip
{"title":"A footnote to a theorem of Halász","authors":"'Eric Saias, K. Seip","doi":"10.7169/facm/1847","DOIUrl":"https://doi.org/10.7169/facm/1847","url":null,"abstract":"A BSTRACT . We study multiplicative functions f satisfying | f ( n ) | ≤ 1 for all n , the associated Dirichlet series F ( s ) : = P ∞ n = 1 f ( n ) n − s , and the summatory function S f ( x ) : = P n ≤ x f ( n ) . Up to a possible trivial contribution from the numbers f (2 k ) , F ( s ) may have at most one zero or one pole on the one-line, in a sense made precise by Halász. We estimate log F ( s ) away from any such point and show that if F ( s ) has a zero on the one-line in the sense of Halász, then | S f ( x ) | ≤ ( x /log x )exp ¡ c p loglog x ¢ for all c > 0 when x is large enough. This bound is best possible.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46533920","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: 0
Parametrization of virtually $K$-rational Drinfeld modules of rank two 二阶虚K -有理Drinfeld模的参数化
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-10-31 DOI: 10.7169/facm/1905
Y. Okumura
{"title":"Parametrization of virtually $K$-rational Drinfeld modules of rank two","authors":"Y. Okumura","doi":"10.7169/facm/1905","DOIUrl":"https://doi.org/10.7169/facm/1905","url":null,"abstract":"For an extension $K/mathbb{F}_q(T)$ of the rational function field over a finite field, we introduce the notion of virtually $K$-rational Drinfeld modules as a function field analogue of $mathbb{Q}$-curves. Our goal in this article is to prove that all virtually $K$-rational Drinfeld modules of rank two with no complex multiplication are parametrized up to isogeny by $K$-rational points of a quotient curve of the Drinfeld modular curve $Y_0(mathfrak{n})$ with some square-free level $mathfrak{n}$. This is an analogue of Elkies' well-known result on $mathbb{Q}$-curves.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49013875","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: 0
On the balanced Voronoï formula for GL$_N$ 关于GL$_N$的平衡Voronoï公式
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-10-28 DOI: 10.7169/facm/1810
T. Wong
{"title":"On the balanced Voronoï formula for GL$_N$","authors":"T. Wong","doi":"10.7169/facm/1810","DOIUrl":"https://doi.org/10.7169/facm/1810","url":null,"abstract":"S.D. Miller and F. Zhou have proved a balanced Voronoi summation formula for GL$_N$ over $mathbb Q$, which allows one to control the dimensions of the Kloosterman sums appearing on either side of the Voronoi formula. In this note, we prove a balanced Voronoi formula over an arbitrary number field, starting with the Voronoi summation formula of A. Ichino and N. Templier over number fields, allowing one to extend recent results on spectral reciprocity laws to number fields, in special cases.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48848203","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: 2
Principalisation abélienne des groupes de classes logarithmiques 对数类群的阿贝尔原则化
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-10-01 DOI: 10.7169/facm/1765
J. Jaulent
{"title":"Principalisation abélienne des groupes de classes logarithmiques","authors":"J. Jaulent","doi":"10.7169/facm/1765","DOIUrl":"https://doi.org/10.7169/facm/1765","url":null,"abstract":"Résumé. Nous transposons aux ℓ -groupes de classes logarithmiques attachées à un corps de nombres les résultats sur la principalisation abélienne des groupes de classes de rayons modérées. En particulier nous montrons que pour toute extension K/ k de corps de nombres complètement décomposée en au moins une place à l’infini, il existe sous la conjecture de Gross-Kuz’min dans K une infinité de ℓ -extensions abéliennes F/ k pour lesquelles le sous-groupe relatif e C ℓ K/ k = Ker( e C ℓ K → e C ℓ k ) du ℓ -groupe des classes logarithmiques de K capitule dans le compositum KF . Abstract. We extend to logarithmic class groups the results on abelian principalization of tame ray class groups of a number field obtained in a previous article. As a consequence, for any extension K/ k of number fields which satisfies the Gross-Kuz’min conjecture for the prime ℓ and where at least one of the infinite places completely splits, we prove that there exists infinitely many abelian ℓ -extensions F/ k such that the relative subgroup e C ℓ K/ k = Ker( e C ℓ K → e C ℓ k ) of the ℓ -group of logarithmic classes of K capitulates in the compositum FK .","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41811644","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: 3
Loxodromic Eisenstein series for cofinite Kleinian groups 有限Kleinian群的Loxodromic Eisenstein级数
IF 0.5
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2019-09-01 DOI: 10.7169/FACM/1781
Y. Irie
{"title":"Loxodromic Eisenstein series for cofinite Kleinian groups","authors":"Y. Irie","doi":"10.7169/FACM/1781","DOIUrl":"https://doi.org/10.7169/FACM/1781","url":null,"abstract":"We introduce an Eisenstein series associated to a loxodromic element of cofinite Kleinian groups, namely the loxodromic Eisenstein series, and study its fundamental properties. It is the analogue of the hyperbolic Eisenstein series for Fuchsian groups of the first kind. We prove the convergence and the differential equation associated to the Laplace-Beltrami operator. We also prove the precise spectral expansion associated to the Laplace-Beltrami operator. Furthermore, we derive the analytic continuation with the location of the possible poles and their residues from the spectral expansion.","PeriodicalId":44655,"journal":{"name":"FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49278162","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: 2
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信