{"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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
{"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":null,"pages":null},"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}
{"title":"Limitations to equidistribution in arithmetic progressions","authors":"Aditi Savalia, A. Vatwani","doi":"10.1007/s40687-023-00375-1","DOIUrl":"https://doi.org/10.1007/s40687-023-00375-1","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87239526","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}
{"title":"The study of certain optimization problems via variational inequalities","authors":"Savin Treanțǎ, Yating Guo","doi":"10.1007/s40687-022-00372-w","DOIUrl":"https://doi.org/10.1007/s40687-022-00372-w","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87033769","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}
{"title":"Hochschild cohomology of symmetric groups and generating functions, II","authors":"Dave Benson, R. Kessar, M. Linckelmann","doi":"10.1007/s40687-023-00382-2","DOIUrl":"https://doi.org/10.1007/s40687-023-00382-2","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85183666","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}
{"title":"Modular knots, automorphic forms, and the Rademacher symbols for triangle groups.","authors":"Toshiki Matsusaka, Jun Ueki","doi":"10.1007/s40687-022-00366-8","DOIUrl":"https://doi.org/10.1007/s40687-022-00366-8","url":null,"abstract":"<p><p>É. Ghys proved that the linking numbers of modular knots and the \"missing\" trefoil <math><msub><mi>K</mi> <mrow><mn>2</mn> <mo>,</mo> <mn>3</mn></mrow> </msub> </math> in <math><msup><mi>S</mi> <mn>3</mn></msup> </math> coincide with the values of a highly ubiquitous function called the Rademacher symbol for <math> <mrow><msub><mtext>SL</mtext> <mn>2</mn></msub> <mi>Z</mi></mrow> </math> . In this article, we replace <math> <mrow><msub><mtext>SL</mtext> <mn>2</mn></msub> <mi>Z</mi> <mo>=</mo> <msub><mi>Γ</mi> <mrow><mn>2</mn> <mo>,</mo> <mn>3</mn></mrow> </msub> </mrow> </math> by the triangle group <math><msub><mi>Γ</mi> <mrow><mi>p</mi> <mo>,</mo> <mi>q</mi></mrow> </msub> </math> for any coprime pair (<i>p</i>, <i>q</i>) of integers with <math><mrow><mn>2</mn> <mo>≤</mo> <mi>p</mi> <mo><</mo> <mi>q</mi></mrow> </math> . We invoke the theory of harmonic Maass forms for <math><msub><mi>Γ</mi> <mrow><mi>p</mi> <mo>,</mo> <mi>q</mi></mrow> </msub> </math> to introduce the notion of the Rademacher symbol <math><msub><mi>ψ</mi> <mrow><mi>p</mi> <mo>,</mo> <mi>q</mi></mrow> </msub> </math> , and provide several characterizations. Among other things, we generalize Ghys's theorem for modular knots around any \"missing\" torus knot <math><msub><mi>K</mi> <mrow><mi>p</mi> <mo>,</mo> <mi>q</mi></mrow> </msub> </math> in <math><msup><mi>S</mi> <mn>3</mn></msup> </math> and in a lens space.</p>","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9734963/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10382569","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}
{"title":"The Bloch–Okounkov theorem for congruence subgroups and Taylor coefficients of quasi-Jacobi forms","authors":"Jan-Willem M. van Ittersum","doi":"10.1007/s40687-022-00369-5","DOIUrl":"https://doi.org/10.1007/s40687-022-00369-5","url":null,"abstract":"","PeriodicalId":48561,"journal":{"name":"Research in the Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73891918","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}