发布求助
文献互助 智能选刊 最新文献

Monatshefte für Mathematik最新文献

筛选
英文 中文
Mean-square values of the Riemann zeta function on arithmetic progressions 算术级数上黎曼zeta函数的均方值
Monatshefte für Mathematik Pub Date : 2024-07-06 DOI: 10.1007/s00605-024-01996-6
Hirotaka Kobayashi
{"title":"Mean-square values of the Riemann zeta function on arithmetic progressions","authors":"Hirotaka Kobayashi","doi":"10.1007/s00605-024-01996-6","DOIUrl":"https://doi.org/10.1007/s00605-024-01996-6","url":null,"abstract":"<p>We obtain asymptotic formulae for the second discrete moments of the Riemann zeta function over arithmetic progressions <span>(frac{1}{2} + i(a n + b))</span>. It reveals noticeable relation between the discrete moments and the continuous moment of the Riemann zeta function. Especially, when <i>a</i> is a positive integer, main terms of the formula are equal to those for the continuous mean value. The proof requires the rational approximation of <span>(e^{pi k/a})</span> for positive integers <i>k</i>.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141572794","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
The Transpolar Drift current: an ocean-ice-wind complex in rotating, spherical coordinates 跨极漂流：旋转球面坐标中的海冰风复合体
Monatshefte für Mathematik Pub Date : 2024-07-02 DOI: 10.1007/s00605-024-01995-7
R. S. Johnson
{"title":"The Transpolar Drift current: an ocean-ice-wind complex in rotating, spherical coordinates","authors":"R. S. Johnson","doi":"10.1007/s00605-024-01995-7","DOIUrl":"https://doi.org/10.1007/s00605-024-01995-7","url":null,"abstract":"<p>Starting from the governing equations for a viscous, incompressible fluid, written in a rotating, spherical coordinate system that is valid at the North Pole, the thin-shell approximation is invoked. No further approximations are needed in the derivation of the system of asymptotic equations used here. Suitable stress conditions on the upper and lower surfaces of the ice are described, leading to the construction of a solution for the Transpolar Drift current. This involves the specification of a suitable geostrophic flow, combined with an Ekman component. Then, via the stress conditions across the ice at the surface, a solution for the motion of the ice, and for the associated wind blowing over it, are obtained. In addition, the model adopted here provides a prediction for the reduction in ice thickness along the Transpolar Drift current as it passes through the Fram Strait. The formulation that we present allows considerable freedom in the choices of the various elements of the flow; the model chosen for the physical properties of the ice is particularly significant. All these aspects are discussed critically, and it is shown that many avenues for future investigation have been opened.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141512479","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 sporadic sequences 关于零星序列
Monatshefte für Mathematik Pub Date : 2024-06-07 DOI: 10.1007/s00605-024-01994-8
Brendan Alinquant, Robert Osburn
{"title":"On sporadic sequences","authors":"Brendan Alinquant, Robert Osburn","doi":"10.1007/s00605-024-01994-8","DOIUrl":"https://doi.org/10.1007/s00605-024-01994-8","url":null,"abstract":"<p>In this note, we prove the last remaining case of the original 15 two-term supercongruence conjectures for sporadic sequences. The proof utilizes a new representation for this sequence (due to Gorodetsky) as the constant term of powers of a Laurent polynomial.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141547228","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
Oscillations of Fourier coefficients over the sparse set of integers 稀疏整数集上的傅立叶系数振荡
Monatshefte für Mathematik Pub Date : 2024-06-03 DOI: 10.1007/s00605-024-01989-5
Lalit Vaishya
{"title":"Oscillations of Fourier coefficients over the sparse set of integers","authors":"Lalit Vaishya","doi":"10.1007/s00605-024-01989-5","DOIUrl":"https://doi.org/10.1007/s00605-024-01989-5","url":null,"abstract":"<p>Let <span>(f in S_{k}(Gamma _{0}(N)))</span> be a normalized Hecke eigenforms of integral weight <i>k</i> and level <span>(N ge 1)</span>. In the article, we establish the asymptotics of power moment associated to the sequences <span>({lambda _{f otimes f otimes f}(mathcal {Q}(underline{x}))}_{mathcal {Q} in mathcal {S}_{D}, underline{x} in mathbb {Z}^{2}})</span> and <span>({lambda _{f otimes mathrm{sym^{2}}f}(mathcal {Q}(underline{x}))}_{mathcal {Q} in mathcal {S}_{D}, underline{x} in mathbb {Z}^{2}})</span> where <span>(mathcal {S}_{D})</span> denotes the set of inequivalent primitive integral positive-definite binary quadratic forms (reduced forms) of fixed discriminant <span>(D &lt; 0.)</span> As a consequence, we prove results concerning the behaviour of sign changes associated to these sequences.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141254193","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
Periodic points of solenoidal automorphisms in terms of adeles 以阿德勒为单位的独角自动形的周期点
Monatshefte für Mathematik Pub Date : 2024-05-29 DOI: 10.1007/s00605-024-01988-6
Faiz Imam, Sharan Gopal
{"title":"Periodic points of solenoidal automorphisms in terms of adeles","authors":"Faiz Imam, Sharan Gopal","doi":"10.1007/s00605-024-01988-6","DOIUrl":"https://doi.org/10.1007/s00605-024-01988-6","url":null,"abstract":"<p>This article is about the periodic points characterization of automorphisms of some solenoids, whose duals are subgroups of algebraic number fields. Here, we use the theory of adeles for describing a solenoid and the periodic points of its automorphisms. This is in line with the earlier characterizations which considered other classes of solenoids.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141192143","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 note on Fourier coefficients of Hecke eigenforms in short intervals 关于短区间赫克特征形式傅里叶系数的说明
Monatshefte für Mathematik Pub Date : 2024-05-29 DOI: 10.1007/s00605-024-01984-w
Sanoli Gun, Sunil Naik
{"title":"A note on Fourier coefficients of Hecke eigenforms in short intervals","authors":"Sanoli Gun, Sunil Naik","doi":"10.1007/s00605-024-01984-w","DOIUrl":"https://doi.org/10.1007/s00605-024-01984-w","url":null,"abstract":"<p>In this article, we investigate large prime factors of Fourier coefficients of non-CM normalized cuspidal Hecke eigenforms in short intervals. One of the new ingredients involves deriving an explicit version of Chebotarev density theorem in an interval of length <span>(frac{x}{(log x)^A})</span> for any <span>(A&gt;0)</span>, modifying an earlier work of Balog and Ono. Furthermore, we need to strengthen a work of Rouse-Thorner to derive a lower bound for the largest prime factor of Fourier coefficients in an interval of length <span>(x^{1/2 + epsilon })</span> for any <span>(epsilon &gt;0)</span>.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141192137","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 Orlicz classes defined in terms of associated weight functions 关于用相关权函数定义的奥尔利奇类
Monatshefte für Mathematik Pub Date : 2024-05-28 DOI: 10.1007/s00605-024-01991-x
Gerhard Schindl
{"title":"On Orlicz classes defined in terms of associated weight functions","authors":"Gerhard Schindl","doi":"10.1007/s00605-024-01991-x","DOIUrl":"https://doi.org/10.1007/s00605-024-01991-x","url":null,"abstract":"<p>N-functions and their growth and regularity properties are crucial in order to introduce and study Orlicz classes and Orlicz spaces. We consider N-functions which are given in terms of so-called associated weight functions. These functions are frequently appearing in the theory of ultradifferentiable function classes and in this setting additional information is available since associated weight functions are defined in terms of a given weight sequence. We express and characterize several known properties for N-functions purely in terms of weight sequences which allows to construct (counter-) examples. Moreover, we study how for abstractly given N-functions this framework becomes meaningful and finally we establish a connection between the complementary N-function and the recently introduced notion of the so-called dual sequence.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141173533","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
Exact solvability of certain linear ODEs 某些线性 ODE 的精确可解性
Monatshefte für Mathematik Pub Date : 2024-05-24 DOI: 10.1007/s00605-024-01992-w
Michal Fečkan, J. Pacuta, Jinrong Wang
{"title":"Exact solvability of certain linear ODEs","authors":"Michal Fečkan, J. Pacuta, Jinrong Wang","doi":"10.1007/s00605-024-01992-w","DOIUrl":"https://doi.org/10.1007/s00605-024-01992-w","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141099913","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
Beauville p-groups of wild type and groups of maximal class 野生型博维尔 p 群和最大类群
Monatshefte für Mathematik Pub Date : 2024-05-24 DOI: 10.1007/s00605-024-01982-y
Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül, Carlo M. Scoppola
{"title":"Beauville p-groups of wild type and groups of maximal class","authors":"Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül, Carlo M. Scoppola","doi":"10.1007/s00605-024-01982-y","DOIUrl":"https://doi.org/10.1007/s00605-024-01982-y","url":null,"abstract":"<p>Let <i>G</i> be a Beauville <i>p</i>-group. If <i>G</i> exhibits a ‘good behaviour’ with respect to taking powers, then every lift of a Beauville structure of <span>(G/Phi (G))</span> is a Beauville structure of <i>G</i>. We say that <i>G</i> is a Beauville <i>p</i>-group of wild type if this lifting property fails to hold. Our goal in this paper is twofold: firstly, we fully determine the Beauville groups within two large families of <i>p</i>-groups of maximal class, namely metabelian groups and groups with a maximal subgroup of class at most 2; secondly, as a consequence of the previous result, we obtain infinitely many Beauville <i>p</i>-groups of wild type.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141150805","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
The pressure of intricacy and average sample complexity for amenable group actions 复杂性压力和可适应群体行动的平均样本复杂性
Monatshefte für Mathematik Pub Date : 2024-05-23 DOI: 10.1007/s00605-024-01993-9
Zubiao Xiao, Jinna Huang
{"title":"The pressure of intricacy and average sample complexity for amenable group actions","authors":"Zubiao Xiao, Jinna Huang","doi":"10.1007/s00605-024-01993-9","DOIUrl":"https://doi.org/10.1007/s00605-024-01993-9","url":null,"abstract":"","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141104368","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
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