Pub Date : 2023-09-25DOI: 10.1007/s40687-023-00403-0
Bruce C. Berndt, Sun Kim, Alexandru Zaharescu
{"title":"Exact evaluations and reciprocity theorems for finite trigonometric sums","authors":"Bruce C. Berndt, Sun Kim, Alexandru Zaharescu","doi":"10.1007/s40687-023-00403-0","DOIUrl":"https://doi.org/10.1007/s40687-023-00403-0","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135814264","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}
Pub Date : 2023-09-23DOI: 10.1007/s40687-023-00404-z
Emre Alkan
{"title":"Covering sumsets of a prime field and class numbers","authors":"Emre Alkan","doi":"10.1007/s40687-023-00404-z","DOIUrl":"https://doi.org/10.1007/s40687-023-00404-z","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135959934","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}
Pub Date : 2023-09-22DOI: 10.1007/s40687-023-00401-2
Soumyarup Banerjee, Atul Dixit, Shivajee Gupta
{"title":"Explicit transformations for generalized Lambert series associated with the divisor function $$sigma _{a}^{(N)}(n)$$ and their applications","authors":"Soumyarup Banerjee, Atul Dixit, Shivajee Gupta","doi":"10.1007/s40687-023-00401-2","DOIUrl":"https://doi.org/10.1007/s40687-023-00401-2","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136011505","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}
Pub Date : 2023-08-11DOI: 10.1007/s40687-023-00399-7
Yajie Zhang, Zuoqiang Shi
{"title":"A second-order nonlocal approximation for Poisson model with Dirichlet boundary","authors":"Yajie Zhang, Zuoqiang Shi","doi":"10.1007/s40687-023-00399-7","DOIUrl":"https://doi.org/10.1007/s40687-023-00399-7","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"6 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79661643","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}
Pub Date : 2023-06-22DOI: 10.1007/s40687-023-00380-4
Brandon Alberts, Evan O’Dorney
{"title":"Corrigendum to “Harmonic analysis and statistics of the first Galois cohomology group”","authors":"Brandon Alberts, Evan O’Dorney","doi":"10.1007/s40687-023-00380-4","DOIUrl":"https://doi.org/10.1007/s40687-023-00380-4","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"23 28 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83086839","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}
Pub Date : 2023-04-26DOI: 10.1007/s40687-023-00386-y
M. Halla
{"title":"Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case","authors":"M. Halla","doi":"10.1007/s40687-023-00386-y","DOIUrl":"https://doi.org/10.1007/s40687-023-00386-y","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"314 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85411680","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}
Pub Date : 2023-04-25DOI: 10.1007/s40687-023-00385-z
J. Chu, John M. Hong, Hsin-Yi Lee, Ying-Chieh Lin
{"title":"Global classical solutions near vacuum to the initial-boundary value problem of isentropic flows through divergent ducts","authors":"J. Chu, John M. Hong, Hsin-Yi Lee, Ying-Chieh Lin","doi":"10.1007/s40687-023-00385-z","DOIUrl":"https://doi.org/10.1007/s40687-023-00385-z","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"176 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85034679","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}
Pub Date : 2023-03-31DOI: 10.1007/s40687-022-00356-w
Jyotirmoy Ganguly, Rohit Joshi
{"title":"Total Stiefel Whitney classes for real representations of $${{,textrm{GL},}}_n$$ over $$mathbb F_q, mathbb R$$ and $$mathbb C$$","authors":"Jyotirmoy Ganguly, Rohit Joshi","doi":"10.1007/s40687-022-00356-w","DOIUrl":"https://doi.org/10.1007/s40687-022-00356-w","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135787671","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}