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IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-25
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148049886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Fourier coefficients and cuspidality for modular forms: another approach and beyond 模形式的傅里叶系数和个性：另一种方法及超越
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-19 DOI: 10.1112/mtk.70107
Soumya Das
{"title":"Fourier coefficients and cuspidality for modular forms: another approach and beyond","authors":"Soumya Das","doi":"10.1112/mtk.70107","DOIUrl":"https://doi.org/10.1112/mtk.70107","url":null,"abstract":"<p>We provide a simple and new induction-based treatment of the problem of distinguishing cusp forms from the growth of the Fourier coefficients of modular forms. Our approach gives the best possible ranges of the weights for this problem, and has wide adaptability. We propose a conjecture which asks the same converse question based on information on the Fourier–Jacobi coefficients, and answer it partially. We also discuss how to recover cuspidality from the poles of the allied Rankin–Selberg <span></span><math></math>-series.</p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148049231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-19
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148049230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-19
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148086588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-14
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148048307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-14
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148076442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Sections and projections of the outer and inner regularizations of a convex body 凸体的外部和内部正则化的截面和投影
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-14 DOI: 10.1112/mtk.70104
Natalia Tziotziou
{"title":"Sections and projections of the outer and inner regularizations of a convex body","authors":"Natalia Tziotziou","doi":"10.1112/mtk.70104","DOIUrl":"https://doi.org/10.1112/mtk.70104","url":null,"abstract":"<p>We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log-concave functions. Our approach relies on the recent optimal <span></span><math></math>-estimate of Bizeul and Klartag for isotropic convex bodies.</p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/mtk.70104","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148048129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-12
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148048157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-12
{"title":"","authors":"","doi":"","DOIUrl":"","url":null,"abstract":"","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148074771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Quantitative asymptotics for polynomial patterns in the primes 素数中多项式模式的定量渐近性
IF 0.8 3区 数学
Mathematika Pub Date : 2026-05-12 DOI: 10.1112/mtk.70103
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang
{"title":"Quantitative asymptotics for polynomial patterns in the primes","authors":"Lilian Matthiesen,&nbsp;Joni Teräväinen,&nbsp;Mengdi Wang","doi":"10.1112/mtk.70103","DOIUrl":"https://doi.org/10.1112/mtk.70103","url":null,"abstract":"<p>We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions <span></span><math></math> for a large class of polynomials <span></span><math></math>. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term. These results give the first quantitative bounds for the Tao–Ziegler polynomial patterns in the primes result. The proofs are based on a quantitative generalised von Neumann theorem of Peluse, a recent result of Leng on strong bounds for the Gowers uniformity of the primes, and analysis of a ‘Siegel model’ for the von Mangoldt function along polynomial progressions.</p>","PeriodicalId":18463,"journal":{"name":"Mathematika","volume":"72 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/mtk.70103","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148048156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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