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On the Cohomology of GL2 and SL2 over Imaginary Quadratic Fields 论 GL2 和 SL2 在虚二次域上的同调性
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-09-01 DOI: 10.1080/10586458.2024.2379797
Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, Dan Yasaki
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引用次数: 0
Lebesgue Constants for Cantor Sets 康托尔集合的勒贝格常数
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-18 DOI: 10.1080/10586458.2024.2381676
Alexander Goncharov, Yaman Paksoy
{"title":"Lebesgue Constants for Cantor Sets","authors":"Alexander Goncharov, Yaman Paksoy","doi":"10.1080/10586458.2024.2381676","DOIUrl":"https://doi.org/10.1080/10586458.2024.2381676","url":null,"abstract":"We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This disproves the st...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"52 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192755","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
Conjectures for Cutting Pizza with Coxeter Arrangements 柯克赛特排列切割披萨的猜想
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-12 DOI: 10.1080/10586458.2024.2379799
Richard Ehrenborg
{"title":"Conjectures for Cutting Pizza with Coxeter Arrangements","authors":"Richard Ehrenborg","doi":"10.1080/10586458.2024.2379799","DOIUrl":"https://doi.org/10.1080/10586458.2024.2379799","url":null,"abstract":"We are interested in conjecturing the sign of the pizza quantity P(H,B(a,R)) for the irreducible Coxeter arrangements H of type An , where n≡2 or 3 mod 4 , and type Dn , where n is odd. Our appr...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"39 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192756","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
Polytopality of Simple Games 简单游戏的多面性
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-12 DOI: 10.1080/10586458.2024.2379802
Marinko Ž. Timotijević, Rade T. Živaljević, Filip D. Jevtić
{"title":"Polytopality of Simple Games","authors":"Marinko Ž. Timotijević, Rade T. Živaljević, Filip D. Jevtić","doi":"10.1080/10586458.2024.2379802","DOIUrl":"https://doi.org/10.1080/10586458.2024.2379802","url":null,"abstract":"The Bier sphere Bier(G)=Bier(K):=K∗ΔK° and the canonical fan Fan(Γ)=Fan(K) are combinatorial/geometric companions of a simple game G=(P,Γ) (equivalently the associated simplicial complex K), whe...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"24 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192757","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
Zeros of Fractional Derivatives of Polynomials 多项式分数导数的零点
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-08 DOI: 10.1080/10586458.2024.2382362
Torre Caparatta, Sebastian Pauli, Filip Saidak
{"title":"Zeros of Fractional Derivatives of Polynomials","authors":"Torre Caparatta, Sebastian Pauli, Filip Saidak","doi":"10.1080/10586458.2024.2382362","DOIUrl":"https://doi.org/10.1080/10586458.2024.2382362","url":null,"abstract":"We investigate the behavior of fractional derivatives of polynomials. In particular, we consider the locations and the asymptotic behavior of their zeros and give bounds for their Mahler measure.","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"46 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932541","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
Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties 复杂投影变体上线束同调维数的生成函数
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-06 DOI: 10.1080/10586458.2024.2380794
Andrei Constantin
{"title":"Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties","authors":"Andrei Constantin","doi":"10.1080/10586458.2024.2380794","DOIUrl":"https://doi.org/10.1080/10586458.2024.2380794","url":null,"abstract":"This paper explores the possibility of constructing multivariate generating functions for all cohomology dimensions of all holomorphic line bundles on certain complex projective varieties of Fano, ...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"109 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932543","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
Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves 改进德利涅曲线雅各布周期猜想的数值证据
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-04 DOI: 10.1080/10586458.2024.2379792
Robert Evans, Daniel Macias Castillo, Hanneke Wiersema
{"title":"Numerical Evidence for a Refinement of Deligne’s Period Conjecture for Jacobians of Curves","authors":"Robert Evans, Daniel Macias Castillo, Hanneke Wiersema","doi":"10.1080/10586458.2024.2379792","DOIUrl":"https://doi.org/10.1080/10586458.2024.2379792","url":null,"abstract":"Let A/Q be a Jacobian variety and let F be a totally real, tamely ramified, abelian number field. Given a character ψ of F/Q, Deligne’s Period Conjecture asserts the algebraicity of the suitably no...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"159 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932542","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
Murmurations of Elliptic Curves 椭圆曲线的喃喃自语
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-04 DOI: 10.1080/10586458.2024.2382361
Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver, Alexey Pozdnyakov
{"title":"Murmurations of Elliptic Curves","authors":"Yang-Hui He, Kyu-Hwan Lee, Thomas Oliver, Alexey Pozdnyakov","doi":"10.1080/10586458.2024.2382361","DOIUrl":"https://doi.org/10.1080/10586458.2024.2382361","url":null,"abstract":"We investigate the average value of the Frobenius trace at p over elliptic curves in a fixed conductor range with given rank. Plotting this average as p varies over the primes yields a striking osc...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"85 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932651","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
Continued Fractions, Orthogonal Polynomials and Dirichlet Series 连续分数、正交多项式和狄利克里数列
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-01 DOI: 10.1080/10586458.2024.2379793
Alin Bostan, Frédéric Chapoton
{"title":"Continued Fractions, Orthogonal Polynomials and Dirichlet Series","authors":"Alin Bostan, Frédéric Chapoton","doi":"10.1080/10586458.2024.2379793","DOIUrl":"https://doi.org/10.1080/10586458.2024.2379793","url":null,"abstract":"Using an experimental mathematics approach, new relations are obtained between Dirichlet-like series for certain periodic coefficients and the moments of certain families of orthogonal polynomials....","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"101 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141932546","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
Deflation Conjecture and Local Dimensions of Brent Equations 通货紧缩猜想与布伦特方程的局部维度
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-08-01 DOI: 10.1080/10586458.2024.2381212
Xin Li, Liping Zhang, Yifen Ke
{"title":"Deflation Conjecture and Local Dimensions of Brent Equations","authors":"Xin Li, Liping Zhang, Yifen Ke","doi":"10.1080/10586458.2024.2381212","DOIUrl":"https://doi.org/10.1080/10586458.2024.2381212","url":null,"abstract":"In this paper, a classical deflation process raised by Dayton, Li and Zeng is realized for the Brent equations, which provides new bounds for local dimensions of the solution set. Originally, this ...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"30 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886230","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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