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Local-In-Time Strong Solutions of the Homogeneous Landau–Coulomb Equation with $$L^p$$ L p Initial Datum 具有 $$L^p$$ L p 初始基准的同质朗道-库仑方程的局部-时间强解
La matematica Pub Date : 2024-02-26 DOI: 10.1007/s44007-024-00088-z
William Golding, Am'elie Loher
{"title":"Local-In-Time Strong Solutions of the Homogeneous Landau–Coulomb Equation with \u0000 \u0000 \u0000 \u0000 $$L^p$$\u0000 \u0000 \u0000 L\u0000 p\u0000 \u0000 \u0000 Initial Datum","authors":"William Golding, Am'elie Loher","doi":"10.1007/s44007-024-00088-z","DOIUrl":"https://doi.org/10.1007/s44007-024-00088-z","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"151 2","pages":"337-369"},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140428570","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 Approximation by Stancu-Type Bivariate Jakimovski–Leviatan–Durrmeyer Operators 论斯坦库型双变量雅基莫夫斯基-列维亚坦-杜尔迈耶算子的近似性
La matematica Pub Date : 2024-01-16 DOI: 10.1007/s44007-023-00083-w
Seda Karateke, M. Zontul, Vishnu Narayan Mishra, A. R. Gairola
{"title":"On the Approximation by Stancu-Type Bivariate Jakimovski–Leviatan–Durrmeyer Operators","authors":"Seda Karateke, M. Zontul, Vishnu Narayan Mishra, A. R. Gairola","doi":"10.1007/s44007-023-00083-w","DOIUrl":"https://doi.org/10.1007/s44007-023-00083-w","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"42 35","pages":"1-23"},"PeriodicalIF":0.0,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139528217","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
Cohomology Classes of Qd(3) Qd(3) 的同调类
La matematica Pub Date : 2023-11-29 DOI: 10.1007/s44007-023-00074-x
Jane H. Long
{"title":"Cohomology Classes of Qd(3)","authors":"Jane H. Long","doi":"10.1007/s44007-023-00074-x","DOIUrl":"https://doi.org/10.1007/s44007-023-00074-x","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139210335","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
Cohomology Classes of the Qd(p) Groups Qd(p) 群的同调类
La matematica Pub Date : 2023-11-29 DOI: 10.1007/s44007-023-00073-y
Jane H. Long
{"title":"Cohomology Classes of the Qd(p) Groups","authors":"Jane H. Long","doi":"10.1007/s44007-023-00073-y","DOIUrl":"https://doi.org/10.1007/s44007-023-00073-y","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139213788","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
Examples of Riesz Bases of Exponentials for Multi-tiling Domains and Their Duals 多平分域的里兹基指数及其对偶例证
La matematica Pub Date : 2023-11-20 DOI: 10.1007/s44007-023-00078-7
Christina Frederick, Karamatou Yacoubou Djima
{"title":"Examples of Riesz Bases of Exponentials for Multi-tiling Domains and Their Duals","authors":"Christina Frederick, Karamatou Yacoubou Djima","doi":"10.1007/s44007-023-00078-7","DOIUrl":"https://doi.org/10.1007/s44007-023-00078-7","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"14 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139255332","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 Co-polynomials and d-Orthogonality 关于共偶次项和 d 次对数
La matematica Pub Date : 2023-11-20 DOI: 10.1007/s44007-023-00076-9
Abdessadek Saib
{"title":"On Co-polynomials and d-Orthogonality","authors":"Abdessadek Saib","doi":"10.1007/s44007-023-00076-9","DOIUrl":"https://doi.org/10.1007/s44007-023-00076-9","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"49 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139255812","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
Idélic Approach in Enumerating Heisenberg Extensions 枚举海森堡扩展的理想方法
La matematica Pub Date : 2023-11-10 DOI: 10.1007/s44007-023-00067-w
Jürgen Klüners, Jiuya Wang
{"title":"Idélic Approach in Enumerating Heisenberg Extensions","authors":"Jürgen Klüners, Jiuya Wang","doi":"10.1007/s44007-023-00067-w","DOIUrl":"https://doi.org/10.1007/s44007-023-00067-w","url":null,"abstract":"For odd primes $$ell $$ and number fields k, we study the asymptotic distribution of number fields L/k given as a tower of relative cyclic $$C_ell $$ -extensions L/F/k using the idélic approach of class field theory. This involves a classification for the Galois group of L/k based on local conditions on L/F and F/k, and an extension of the method of Wright in enumerating abelian extensions. We call the possible Galois groups for these extensions generalized and twisted Heisenberg groups. We then prove the strong Malle–conjecture for all these groups in their representation on $$ell ^2$$ points.","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"121 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135136356","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
Hypergeometric Functions for Dirichlet Characters and Peisert-Like Graphs on $$mathbb {Z}_n$$ 上Dirichlet字符和类peisert图的超几何函数 $$mathbb {Z}_n$$
La matematica Pub Date : 2023-11-10 DOI: 10.1007/s44007-023-00075-w
Anwita Bhowmik, Rupam Barman
{"title":"Hypergeometric Functions for Dirichlet Characters and Peisert-Like Graphs on $$mathbb {Z}_n$$","authors":"Anwita Bhowmik, Rupam Barman","doi":"10.1007/s44007-023-00075-w","DOIUrl":"https://doi.org/10.1007/s44007-023-00075-w","url":null,"abstract":"For a prime $$pequiv 3pmod 4$$ and a positive integer t, let $$q=p^{2t}$$ . The Peisert graph of order q is the graph with vertex set $$mathbb {F}_q$$ such that ab is an edge if $$a-bin langle g^4rangle cup glangle g^4rangle $$ , where g is a primitive element of $$mathbb {F}_q$$ . In this paper, we construct a similar graph with vertex set as the commutative ring $$mathbb {Z}_n$$ for suitable n, which we call Peisert-like graph and denote by $$G^*(n)$$ . Owing to the need for cyclicity of the group of units of $$mathbb {Z}_n$$ , we consider $$n=p^alpha $$ or $$2p^alpha $$ , where $$pequiv 1pmod 4$$ is a prime and $$alpha $$ is a positive integer. For primes $$pequiv 1pmod 8$$ , we compute the number of triangles in the graph $$G^*(p^{alpha })$$ by evaluating certain character sums. Next, we study cliques of order 4 in $$G^*(p^{alpha })$$ . To find the number of cliques of order 4 in $$G^*(p^{alpha })$$ , we first introduce hypergeometric functions containing Dirichlet characters as arguments and then express the number of cliques of order 4 in $$G^*(p^{alpha })$$ in terms of these hypergeometric functions.","PeriodicalId":74051,"journal":{"name":"La matematica","volume":" 13","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135141136","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
Higher-Order Maxwell–Stefan Model of Diffusion 扩散的高阶Maxwell-Stefan模型
La matematica Pub Date : 2023-10-31 DOI: 10.1007/s44007-023-00071-0
Bérénice Grec, Srboljub Simić
{"title":"Higher-Order Maxwell–Stefan Model of Diffusion","authors":"Bérénice Grec, Srboljub Simić","doi":"10.1007/s44007-023-00071-0","DOIUrl":"https://doi.org/10.1007/s44007-023-00071-0","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"194 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135870274","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
Hyperbolic Punctured Spheres Without Arithmetic Systole Maximizers 没有算术收缩最大化器的双曲穿孔球体
La matematica Pub Date : 2023-10-25 DOI: 10.1007/s44007-023-00066-x
Grant S. Lakeland, Clayton Young
{"title":"Hyperbolic Punctured Spheres Without Arithmetic Systole Maximizers","authors":"Grant S. Lakeland, Clayton Young","doi":"10.1007/s44007-023-00066-x","DOIUrl":"https://doi.org/10.1007/s44007-023-00066-x","url":null,"abstract":"","PeriodicalId":74051,"journal":{"name":"La matematica","volume":"21 23","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135218815","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
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