Pub Date : 2026-02-06DOI: 10.1016/j.jnt.2025.12.015
Iván Blanco-Chacón , Luis Dieulefait
Let be a totally real number field and an ideal of its ring of integers of norm N. Let be a prime totally split in F such that . For every even , define the -dimensional parallel weight . Let be any non CM Hilbert cuspidal Hecke eigenform. Assume that the residual representation has large image for some prime over p in the field of definition of f. Under these conditions, we prove that there exists a lift of associated to a Hilbert modular cuspform which is supercuspidal at each prime of F over p. We also give a proof of the corresponding statement for classical Hecke cuspforms. Such statement was already proved by Khare [23] with classical techniques. Finally, using our main result we give a corrigenda for [12], correctly inserting the micro good dihedral prime in the level.
{"title":"Modular supercuspidal lifts of weight 2","authors":"Iván Blanco-Chacón , Luis Dieulefait","doi":"10.1016/j.jnt.2025.12.015","DOIUrl":"10.1016/j.jnt.2025.12.015","url":null,"abstract":"<div><div>Let <span><math><mi>F</mi><mo>/</mo><mi>Q</mi></math></span> be a totally real number field and <span><math><mi>N</mi></math></span> an ideal of its ring of integers of norm <em>N</em>. Let <span><math><mi>p</mi><mo>></mo><mi>max</mi><mo></mo><mo>{</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo>,</mo><mn>6</mn><mo>}</mo></math></span> be a prime totally split in <em>F</em> such that <span><math><mi>p</mi><mo>∤</mo><mi>N</mi></math></span>. For every even <span><math><mi>k</mi><mo>≥</mo><mn>2</mn></math></span>, define the <span><math><mo>[</mo><mi>F</mi><mo>:</mo><mi>Q</mi><mo>]</mo></math></span>-dimensional parallel weight <span><math><mtext>k</mtext><mo>=</mo><mo>(</mo><mi>k</mi><mo>,</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo>,</mo><mi>k</mi><mo>)</mo></math></span>. Let <span><math><mi>f</mi><mo>∈</mo><msub><mrow><mi>S</mi></mrow><mrow><mtext>k</mtext></mrow></msub><mo>(</mo><msub><mrow><mi>Γ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mi>N</mi><mo>)</mo><mo>)</mo></math></span> be any non CM Hilbert cuspidal Hecke eigenform. Assume that the residual representation <span><math><msub><mrow><mover><mrow><mi>ρ</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>f</mi><mo>,</mo><mi>P</mi></mrow></msub></math></span> has large image for some prime <span><math><mi>P</mi></math></span> over <em>p</em> in the field of definition of <em>f</em>. Under these conditions, we prove that there exists a lift of <span><math><msub><mrow><mover><mrow><mi>ρ</mi></mrow><mo>‾</mo></mover></mrow><mrow><mi>f</mi><mo>,</mo><mi>P</mi></mrow></msub></math></span> associated to a Hilbert modular cuspform <span><math><mi>g</mi><mo>∈</mo><msub><mrow><mi>S</mi></mrow><mrow><mtext>2</mtext></mrow></msub><mo>(</mo><mi>N</mi><msup><mrow><mi>p</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>,</mo><mi>ϵ</mi><mo>)</mo></math></span> which is supercuspidal at each prime of <em>F</em> over <em>p</em>. We also give a proof of the corresponding statement for classical Hecke cuspforms. Such statement was already proved by Khare <span><span>[23]</span></span> with classical techniques. Finally, using our main result we give a corrigenda for <span><span>[12]</span></span>, correctly inserting the micro good dihedral prime in the level.</div></div>","PeriodicalId":50110,"journal":{"name":"Journal of Number Theory","volume":"285 ","pages":"Pages 54-73"},"PeriodicalIF":0.7,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146147486","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 : 2026-02-06DOI: 10.1016/j.chaos.2026.118026
Yiqun Yan, Qianwei Zhang, Leiman Fu
{"title":"The role of anxiety in the evolution of cooperative behavior based on spatial interactions","authors":"Yiqun Yan, Qianwei Zhang, Leiman Fu","doi":"10.1016/j.chaos.2026.118026","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118026","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"48 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-06DOI: 10.1016/j.chaos.2026.118041
Anupam Ghosh
{"title":"Ab initio analysis of extreme events in dynamical systems with Rényi entropy production rate","authors":"Anupam Ghosh","doi":"10.1016/j.chaos.2026.118041","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118041","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"31 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-05DOI: 10.1016/j.chaos.2026.118019
Rafael A. Bilbao, Rafael Lucena
{"title":"Thermodynamic formalism for discontinuous maps and statistical properties of their equilibrium states","authors":"Rafael A. Bilbao, Rafael Lucena","doi":"10.1016/j.chaos.2026.118019","DOIUrl":"https://doi.org/10.1016/j.chaos.2026.118019","url":null,"abstract":"","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"10 1","pages":""},"PeriodicalIF":7.8,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-05DOI: 10.1016/j.amc.2026.129991
Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez
{"title":"On a weighted Chaikin-type subdivision scheme for non-smooth data","authors":"Sergio Amat, Sonia Busquier, David Levin, Juan Ruiz-Álvarez, Dionisio F. Yáñez","doi":"10.1016/j.amc.2026.129991","DOIUrl":"https://doi.org/10.1016/j.amc.2026.129991","url":null,"abstract":"","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"89 1","pages":""},"PeriodicalIF":4.0,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-05DOI: 10.1016/j.jctb.2026.01.006
Kaizhe Chen, Jie Ma
{"title":"A problem of Erdős and Hajnal on paths with equal-degree endpoints","authors":"Kaizhe Chen, Jie Ma","doi":"10.1016/j.jctb.2026.01.006","DOIUrl":"https://doi.org/10.1016/j.jctb.2026.01.006","url":null,"abstract":"","PeriodicalId":54865,"journal":{"name":"Journal of Combinatorial Theory Series B","volume":"95 1","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2026-02-05DOI: 10.1016/j.cnsns.2026.109791
Dongxiang Chen, Qian He, Xiaoli Chen
{"title":"On the hydrostatic approximation of the micropolar fluid system in a thin strip domain","authors":"Dongxiang Chen, Qian He, Xiaoli Chen","doi":"10.1016/j.cnsns.2026.109791","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.109791","url":null,"abstract":"","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"27 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We revisit certain one-parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of -series attached to nondegenerate hypergeometric motives and zeta functions of tori, twisted by Hecke Grössencharacters. This permits a combinatorial algorithm for computing the Hodge numbers of the family.
{"title":"Hypergeometric motives from Euler integral representations","authors":"Tyler L. Kelly, John Voight","doi":"10.1112/jlms.70424","DOIUrl":"https://doi.org/10.1112/jlms.70424","url":null,"abstract":"<p>We revisit certain one-parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of <span></span><math>\u0000 <semantics>\u0000 <mi>L</mi>\u0000 <annotation>$L$</annotation>\u0000 </semantics></math>-series attached to nondegenerate hypergeometric motives and zeta functions of tori, twisted by Hecke Grössencharacters. This permits a combinatorial algorithm for computing the Hodge numbers of the family.</p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://londmathsoc.onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70424","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146122839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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