Crisp, Tyrone; Meir, Ehud; Onn, Uri An inductive approach to representations of general linear groups over compact discrete valuation rings. (English) Zbl 07811950 Adv. Math. 440, Article ID 109516, 58 p. (2024). MSC: 22E50 20G25 20C33 20C15 20C07 PDFBibTeX XMLCite \textit{T. Crisp} et al., Adv. Math. 440, Article ID 109516, 58 p. (2024; Zbl 07811950) Full Text: DOI arXiv
Kumar, Narasimha; Sahoo, Satyabrat On the solutions of \(x^p+y^p=2^r z^p\), \(x^p+y^p=z^2\) over totally real fields. (English) Zbl 07810306 Acta Arith. 212, No. 1, 31-47 (2024). MSC: 11D41 11F80 11R04 11R80 PDFBibTeX XMLCite \textit{N. Kumar} and \textit{S. Sahoo}, Acta Arith. 212, No. 1, 31--47 (2024; Zbl 07810306) Full Text: DOI arXiv
Ophir, Amit; Weiss, Ariel On Ribet’s lemma for \(\mathrm{GL}_2\) modulo prime powers. (English) Zbl 07809833 Res. Math. Sci. 11, No. 1, Paper No. 9, 21 p. (2024). MSC: 20G25 20E08 20C11 11G05 11S23 PDFBibTeX XMLCite \textit{A. Ophir} and \textit{A. Weiss}, Res. Math. Sci. 11, No. 1, Paper No. 9, 21 p. (2024; Zbl 07809833) Full Text: DOI arXiv OA License
Hauck, Maximilian; Shparlinski, Igor E. Smooth numbers with few nonzero binary digits. (English) Zbl 07802118 Can. Math. Bull. 67, No. 1, 74-89 (2024). MSC: 11A63 11L40 11N25 PDFBibTeX XMLCite \textit{M. Hauck} and \textit{I. E. Shparlinski}, Can. Math. Bull. 67, No. 1, 74--89 (2024; Zbl 07802118) Full Text: DOI arXiv
Ohara, Kazuma Hecke algebras for tame supercuspidal types. (English) Zbl 07791562 Am. J. Math. 146, No. 1, 277-293 (2024). Reviewer: Egle Bettio (Venezia) MSC: 20G25 20C08 22E50 11F70 PDFBibTeX XMLCite \textit{K. Ohara}, Am. J. Math. 146, No. 1, 277--293 (2024; Zbl 07791562) Full Text: DOI arXiv
Agboola, Adebisi; Burns, David John; Caputo, Luca; Kuang, Yu On the square root of the inverse different. (English) Zbl 07787690 Can. J. Math. 76, No. 1, 283-318 (2024). Reviewer: Cornelius Greither (Neubiberg) MSC: 11R33 11R32 11R42 PDFBibTeX XMLCite \textit{A. Agboola} et al., Can. J. Math. 76, No. 1, 283--318 (2024; Zbl 07787690) Full Text: DOI arXiv OA License
Greither, Cornelius; Kataoka, Takenori Fitting ideals and various notions of equivalence for modules. (English) Zbl 07785292 Manuscr. Math. 173, No. 1-2, 259-291 (2024). Reviewer: Günter Lettl (Graz) MSC: 11R29 11R33 13D02 13H10 PDFBibTeX XMLCite \textit{C. Greither} and \textit{T. Kataoka}, Manuscr. Math. 173, No. 1--2, 259--291 (2024; Zbl 07785292) Full Text: DOI OA License
Aubert, Anne-Marie; Xu, Yujie Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks. (English) Zbl 07781628 Adv. Math. 436, Article ID 109384, 45 p. (2024). MSC: 20C08 20G07 20G25 PDFBibTeX XMLCite \textit{A.-M. Aubert} and \textit{Y. Xu}, Adv. Math. 436, Article ID 109384, 45 p. (2024; Zbl 07781628) Full Text: DOI arXiv
Kumon, Asuka; Lim, Donghyeok On Krull-Schmidt decompositions of unit groups of number fields. arXiv:2403.09420 Preprint, arXiv:2403.09420 [math.NT] (2024). MSC: 11R27 11R33 20C10 BibTeX Cite \textit{A. Kumon} and \textit{D. Lim}, ``On Krull-Schmidt decompositions of unit groups of number fields'', Preprint, arXiv:2403.09420 [math.NT] (2024) Full Text: arXiv OA License
Cheraghpour, Hassan; Kuzma, Bojan Vanishing Immanants. arXiv:2402.05710 Preprint, arXiv:2402.05710 [math.RT] (2024). MSC: 05A17 11P81 20C15 15A15 15A86 BibTeX Cite \textit{H. Cheraghpour} and \textit{B. Kuzma}, ``Vanishing Immanants'', Preprint, arXiv:2402.05710 [math.RT] (2024) Full Text: arXiv OA License
Kala, Vítězslav; Yatsyna, Pavlo Even better sums of squares over quintic and cyclotomic fields. arXiv:2402.03850 Preprint, arXiv:2402.03850 [math.NT] (2024). MSC: 11E12 11E20 11E25 11H06 11R04 BibTeX Cite \textit{V. Kala} and \textit{P. Yatsyna}, ``Even better sums of squares over quintic and cyclotomic fields'', Preprint, arXiv:2402.03850 [math.NT] (2024) Full Text: arXiv OA License
Ophir, Amit; Weiss, Ariel Maximal stable lattices in representations over discretely valued fields. arXiv:2401.10183 Preprint, arXiv:2401.10183 [math.NT] (2024). MSC: 20G25 11F70 20G05 51E24 BibTeX Cite \textit{A. Ophir} and \textit{A. Weiss}, ``Maximal stable lattices in representations over discretely valued fields'', Preprint, arXiv:2401.10183 [math.NT] (2024) Full Text: arXiv OA License
André, Carlos A. M.; Dias, João Smooth representations of involutive algebra groups over non-archimedean local fields. arXiv:2401.09302 Preprint, arXiv:2401.09302 [math.RT] (2024). MSC: 20G25 22D12 22D30 BibTeX Cite \textit{C. A. M. André} and \textit{J. Dias}, ``Smooth representations of involutive algebra groups over non-archimedean local fields'', Preprint, arXiv:2401.09302 [math.RT] (2024) Full Text: arXiv OA License
Fakunle, Ilesanmi; Arawomo, Peter Olutola Hyers-Ulam stability theorems for second order nonlinear damped differential equations with forcing term. (English) Zbl 07815836 J. Niger. Math. Soc. 42, No. 1, 19-35 (2023). MSC: 26A46 34C10 11R33 35Q31 PDFBibTeX XMLCite \textit{I. Fakunle} and \textit{P. O. Arawomo}, J. Niger. Math. Soc. 42, No. 1, 19--35 (2023; Zbl 07815836) Full Text: Link
Mehdi-Nezhad, Elham; Rahimi, Amir M. Some properties of Fibonacci numbers using center of mass. (English) Zbl 07803494 Missouri J. Math. Sci. 35, No. 2, 232-241 (2023). MSC: 11B39 11A67 PDFBibTeX XMLCite \textit{E. Mehdi-Nezhad} and \textit{A. M. Rahimi}, Missouri J. Math. Sci. 35, No. 2, 232--241 (2023; Zbl 07803494) Full Text: DOI
Lanard, Thomas Unipotent \(\ell\)-blocks for simply connected \(p\)-adic groups. (English) Zbl 07783158 Algebra Number Theory 17, No. 9, 1533-1572 (2023). MSC: 22E50 20C20 20C33 20G05 20G25 20G40 PDFBibTeX XMLCite \textit{T. Lanard}, Algebra Number Theory 17, No. 9, 1533--1572 (2023; Zbl 07783158) Full Text: DOI arXiv
Tinková, Magdaléna On the Pythagoras number of the simplest cubic fields. (English) Zbl 07770418 Acta Arith. 208, No. 4, 325-354 (2023). Reviewer: Azizul Hoque (Allahabad) MSC: 11R16 11E25 11R80 PDFBibTeX XMLCite \textit{M. Tinková}, Acta Arith. 208, No. 4, 325--354 (2023; Zbl 07770418) Full Text: DOI arXiv
Kuang, Yu On Galois-Gauss sums and the square root of the inverse different. (English) Zbl 07768668 Acta Arith. 209, 319-355 (2023). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R33 19A31 16E20 PDFBibTeX XMLCite \textit{Y. Kuang}, Acta Arith. 209, 319--355 (2023; Zbl 07768668) Full Text: DOI arXiv
McDowell, Eoghan Large \(p\)-core \(p^\prime\)-partitions and walks on the additive residue graph. (English) Zbl 1526.05011 Ann. Comb. 27, No. 4, 857-871 (2023). MSC: 05A17 11P83 05E10 05C81 20C30 PDFBibTeX XMLCite \textit{E. McDowell}, Ann. Comb. 27, No. 4, 857--871 (2023; Zbl 1526.05011) Full Text: DOI arXiv
Atobe, Hiraku The set of local \(A\)-packets containing a given representation. (English) Zbl 07761120 J. Reine Angew. Math. 804, 263-286 (2023). Reviewer: Egle Bettio (Venezia) MSC: 22E50 20G05 11F70 20G25 PDFBibTeX XMLCite \textit{H. Atobe}, J. Reine Angew. Math. 804, 263--286 (2023; Zbl 07761120) Full Text: DOI arXiv
Rajhi, Anis Compactly supported cohomology of a tower of graphs and generic representations of \(\mathrm{PGL}_n\) over a local field. (English) Zbl 07755469 C. R., Math., Acad. Sci. Paris 361, 1133-1149 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E50 20E42 20G25 PDFBibTeX XMLCite \textit{A. Rajhi}, C. R., Math., Acad. Sci. Paris 361, 1133--1149 (2023; Zbl 07755469) Full Text: DOI
Fintzen, Jessica Representations of \(p\)-adic groups. (English) Zbl 07754070 Auroux, Denis (ed.) et al., Current developments in mathematics 2021. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, March 2022. Somerville, MA: International Pres. 1-42 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E50 20G25 20C11 20G05 14D24 PDFBibTeX XMLCite \textit{J. Fintzen}, in: Current developments in mathematics 2021. Papers based on selected lectures given at the current developments mathematics conference, Harvard University, Cambridge, MA, USA, March 2022. Somerville, MA: International Pres. 1--42 (2023; Zbl 07754070)
Abe, Noriyuki Extension between simple modules of pro-\(p\)-Iwahori Hecke algebras. (English) Zbl 07750910 J. Inst. Math. Jussieu 22, No. 6, 2775-2804 (2023). MSC: 22E50 20C08 20G25 PDFBibTeX XMLCite \textit{N. Abe}, J. Inst. Math. Jussieu 22, No. 6, 2775--2804 (2023; Zbl 07750910) Full Text: DOI arXiv
Jakob, Konstantin; Kamgarpour, Masoud; Yi, Lingfei Airy sheaves for reductive groups. (English) Zbl 07740431 Proc. Lond. Math. Soc. (3) 126, No. 1, 390-428 (2023). MSC: 14D24 20G25 22E50 22E67 PDFBibTeX XMLCite \textit{K. Jakob} et al., Proc. Lond. Math. Soc. (3) 126, No. 1, 390--428 (2023; Zbl 07740431) Full Text: DOI arXiv OA License
Simon, Denis; Terracini, Lea Large algebraic integers. (English) Zbl 07739863 Int. J. Number Theory 19, No. 9, 2197-2214 (2023). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11H31 11R27 11R33 11Y40 11G50 PDFBibTeX XMLCite \textit{D. Simon} and \textit{L. Terracini}, Int. J. Number Theory 19, No. 9, 2197--2214 (2023; Zbl 07739863) Full Text: DOI arXiv
Kala, Vítězslav; Yatsyna, Pavlo On Kitaoka’s conjecture and lifting problem for universal quadratic forms. (English) Zbl 07738023 Bull. Lond. Math. Soc. 55, No. 2, 854-864 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E20 11E25 11H06 11R04 PDFBibTeX XMLCite \textit{V. Kala} and \textit{P. Yatsyna}, Bull. Lond. Math. Soc. 55, No. 2, 854--864 (2023; Zbl 07738023) Full Text: DOI arXiv
Solleveld, Maarten A local Langlands correspondence for unipotent representations. (English) Zbl 1527.22025 Am. J. Math. 145, No. 3, 673-719 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E50 20G05 20G25 PDFBibTeX XMLCite \textit{M. Solleveld}, Am. J. Math. 145, No. 3, 673--719 (2023; Zbl 1527.22025) Full Text: DOI arXiv
Solleveld, Maarten On unipotent representations of ramified \(p\)-adic groups. (English) Zbl 07730044 Represent. Theory 27, 669-716 (2023). MSC: 22E50 11S37 20G25 PDFBibTeX XMLCite \textit{M. Solleveld}, Represent. Theory 27, 669--716 (2023; Zbl 07730044) Full Text: DOI arXiv
Seethalakshmi, Kayanattath; Spallone, Steven A Chinese remainder theorem for partitions. (English) Zbl 1518.05011 Ramanujan J. 61, No. 3, 989-1019 (2023). MSC: 05A17 11P81 52C07 20C30 PDFBibTeX XMLCite \textit{K. Seethalakshmi} and \textit{S. Spallone}, Ramanujan J. 61, No. 3, 989--1019 (2023; Zbl 1518.05011) Full Text: DOI arXiv
Drimbe, Daniel; Vaes, Stefaan Superrigidity for dense subgroups of Lie groups and their actions on homogeneous spaces. (English) Zbl 1525.22004 Math. Ann. 386, No. 3-4, 2015-2059 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22D50 20G30 37A20 46L10 22E46 37A17 20H15 PDFBibTeX XMLCite \textit{D. Drimbe} and \textit{S. Vaes}, Math. Ann. 386, No. 3--4, 2015--2059 (2023; Zbl 1525.22004) Full Text: DOI arXiv
Malinin, Dmitry On integral representations of finite groups and rings generated by character values. (English) Zbl 1522.20038 J. Algebra Appl. 22, No. 6, Article ID 2350120, 16 p. (2023). Reviewer: Alexander Moretó (València) MSC: 20C15 11R04 PDFBibTeX XMLCite \textit{D. Malinin}, J. Algebra Appl. 22, No. 6, Article ID 2350120, 16 p. (2023; Zbl 1522.20038) Full Text: DOI
Dietmann, Rainer; Elsholtz, Christian; Kalmynin, Alexander; Konyagin, Sergei; Maynard, James Longer gaps between values of binary quadratic forms. (English) Zbl 07702891 Int. Math. Res. Not. 2023, No. 12, 10313-10349 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11N25 11E16 11E25 PDFBibTeX XMLCite \textit{R. Dietmann} et al., Int. Math. Res. Not. 2023, No. 12, 10313--10349 (2023; Zbl 07702891) Full Text: DOI
Robles-Pérez, Aureliano M.; Rosales, José Carlos The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number. (English) Zbl 07699360 Mediterr. J. Math. 20, No. 4, Paper No. 222, 12 p. (2023). MSC: 11D07 11B39 11A67 05A17 PDFBibTeX XMLCite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, Mediterr. J. Math. 20, No. 4, Paper No. 222, 12 p. (2023; Zbl 07699360) Full Text: DOI arXiv
Pak, Igor; Panova, Greta Durfee squares, symmetric partitions and bounds on Kronecker coefficients. (English) Zbl 1515.05188 J. Algebra 629, 358-380 (2023). MSC: 05E05 05A17 20C30 20B30 PDFBibTeX XMLCite \textit{I. Pak} and \textit{G. Panova}, J. Algebra 629, 358--380 (2023; Zbl 1515.05188) Full Text: DOI arXiv
McSpirit, Eleanor; Ono, Ken Zeros in the character tables of symmetric groups with an \(\ell\)-core index. (English) Zbl 1521.20028 Can. Math. Bull. 66, No. 2, 467-476 (2023). Reviewer: Stephan Wagner (Uppsala) MSC: 20C30 11P82 05A17 PDFBibTeX XMLCite \textit{E. McSpirit} and \textit{K. Ono}, Can. Math. Bull. 66, No. 2, 467--476 (2023; Zbl 1521.20028) Full Text: DOI arXiv
Kuang, Yu On the Galois-Gauss sums of weakly ramified characters. (English) Zbl 07689105 New York J. Math. 29, 417-440 (2023). Reviewer: Henri Johnston (Exeter) MSC: 11R33 16E20 11S15 PDFBibTeX XMLCite \textit{Y. Kuang}, New York J. Math. 29, 417--440 (2023; Zbl 07689105) Full Text: arXiv Link
Cho, Hyunsoo; Huh, JiSun; Nam, Hayan; Sohn, Jaebum Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores. (English) Zbl 1514.05018 Discrete Math. 346, No. 7, Article ID 113387, 15 p. (2023). MSC: 05A17 05E10 11P81 20C30 PDFBibTeX XMLCite \textit{H. Cho} et al., Discrete Math. 346, No. 7, Article ID 113387, 15 p. (2023; Zbl 1514.05018) Full Text: DOI arXiv
Kim, Mingyu; Oh, Byeong-Kweon Quadratic forms representing large integers only. (English) Zbl 1525.11038 J. Number Theory 249, 422-440 (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E12 11E20 11E25 PDFBibTeX XMLCite \textit{M. Kim} and \textit{B.-K. Oh}, J. Number Theory 249, 422--440 (2023; Zbl 1525.11038) Full Text: DOI
Kamgarpour, Masoud; Xu, Daxin; Yi, Lingfei Hypergeometric sheaves for classical groups via geometric Langlands. (English) Zbl 1524.14027 Trans. Am. Math. Soc. 376, No. 5, 3585-3640 (2023). MSC: 14D24 17B67 20G25 22E50 22E57 PDFBibTeX XMLCite \textit{M. Kamgarpour} et al., Trans. Am. Math. Soc. 376, No. 5, 3585--3640 (2023; Zbl 1524.14027) Full Text: DOI arXiv
Monteiro, Nariel The stable representations of \(\mathrm{GL}_N\) over finite local principal ideal rings. (English) Zbl 1516.20106 Commun. Algebra 51, No. 6, 2628-2643 (2023). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 20G05 20G25 22E50 PDFBibTeX XMLCite \textit{N. Monteiro}, Commun. Algebra 51, No. 6, 2628--2643 (2023; Zbl 1516.20106) Full Text: DOI arXiv
Schmid, Peter Quaternion lattices and quaternion fields. (English) Zbl 1527.11084 Arch. Math. 120, No. 3, 253-261 (2023). Reviewer: James E. Carter (Charleston) MSC: 11R33 20C10 11R52 PDFBibTeX XMLCite \textit{P. Schmid}, Arch. Math. 120, No. 3, 253--261 (2023; Zbl 1527.11084) Full Text: DOI
Lachmann, Thomas; Wiart, Jaspar The area of empty axis-parallel boxes amidst 2-dimensional lattice points. (English) Zbl 1510.52010 J. Complexity 76, Article ID 101724, 35 p. (2023). MSC: 52C05 11A55 11H06 11P21 11R04 16G30 PDFBibTeX XMLCite \textit{T. Lachmann} and \textit{J. Wiart}, J. Complexity 76, Article ID 101724, 35 p. (2023; Zbl 1510.52010) Full Text: DOI arXiv
Bertoloni Meli, Alexander; Nguyen, Kieu Hieu The Kottwitz conjecture for unitary PEL-type Rapoport-Zink spaces. (English) Zbl 07659867 J. Reine Angew. Math. 796, 1-68 (2023). Reviewer: G. K. Sankaran (Bath) MSC: 11F70 11G18 11S37 14G35 20G25 PDFBibTeX XMLCite \textit{A. Bertoloni Meli} and \textit{K. H. Nguyen}, J. Reine Angew. Math. 796, 1--68 (2023; Zbl 07659867) Full Text: DOI arXiv
Emory, Melissa; Takeda, Shuichiro Contragredients and a multiplicity one theorem for general spin groups. (English) Zbl 07657292 Math. Z. 303, No. 3, Paper No. 70, 54 p. (2023). MSC: 11F70 11F55 20G25 22E50 14L35 PDFBibTeX XMLCite \textit{M. Emory} and \textit{S. Takeda}, Math. Z. 303, No. 3, Paper No. 70, 54 p. (2023; Zbl 07657292) Full Text: DOI arXiv
Raška, Martin Representing multiples of \(m\) in real quadratic fields as sums of squares. (English) Zbl 1518.11035 J. Number Theory 244, 24-41 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E25 11E12 11R11 11R80 PDFBibTeX XMLCite \textit{M. Raška}, J. Number Theory 244, 24--41 (2023; Zbl 1518.11035) Full Text: DOI arXiv
Bui, Anh Tuan; Rahm, Alexander D.; Wendt, Matthias On Farrell-Tate cohomology of \(\operatorname{GL}_3\) over rings of quadratic integers. (English) Zbl 1511.11054 J. Algebra 615, 328-357 (2023). Reviewer: Kevin Hutchinson (Dublin) MSC: 11F75 16H10 20C10 PDFBibTeX XMLCite \textit{A. T. Bui} et al., J. Algebra 615, 328--357 (2023; Zbl 1511.11054) Full Text: DOI arXiv
Kaletha, Tasho; Prasad, Gopal Bruhat-Tits theory. A new approach. (English) Zbl 1516.20003 New Mathematical Monographs 44. Cambridge: Cambridge University Press (ISBN 978-1-108-83196-3/hbk; 978-1-108-93304-9/ebook). xxx, 718 p. (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20-02 20E42 20G25 11F70 22E50 PDFBibTeX XMLCite \textit{T. Kaletha} and \textit{G. Prasad}, Bruhat-Tits theory. A new approach. Cambridge: Cambridge University Press (2023; Zbl 1516.20003) Full Text: DOI
Burns, David; Lim, Donghyeok; Maire, Christian On the existence of Minkowski units. arXiv:2401.00181 Preprint, arXiv:2401.00181 [math.NT] (2023). MSC: 11R33 11R34 11R37 BibTeX Cite \textit{D. Burns} et al., ``On the existence of Minkowski units'', Preprint, arXiv:2401.00181 [math.NT] (2023) Full Text: arXiv OA License
Bouazzaoui, Zakariae; Lim, Donghyeok On the Galois structure of units in totally real \(p\)-rational number fields. arXiv:2311.13525 Preprint, arXiv:2311.13525 [math.NT] (2023). MSC: 11R33 11R80 BibTeX Cite \textit{Z. Bouazzaoui} and \textit{D. Lim}, ``On the Galois structure of units in totally real $p$-rational number fields'', Preprint, arXiv:2311.13525 [math.NT] (2023) Full Text: arXiv OA License
Schlitt, Jeremy Biases Towards the Zero Residue Class for Quadratic Forms in Arithmetic Progressions. arXiv:2308.13959 Preprint, arXiv:2308.13959 [math.NT] (2023). MSC: 11N25 11E16 11E25 11N69 11Y70 BibTeX Cite \textit{J. Schlitt}, ``Biases Towards the Zero Residue Class for Quadratic Forms in Arithmetic Progressions'', Preprint, arXiv:2308.13959 [math.NT] (2023) Full Text: arXiv OA License
Onn, Uri; Prasad, Amritanshu; Singla, Pooja Representation zeta functions of arithmetic groups of type \(A_2\) in positive characteristic. arXiv:2308.07073 Preprint, arXiv:2308.07073 [math.RT] (2023). MSC: 22E50 11M41 20C15 20G25 20H05 BibTeX Cite \textit{U. Onn} et al., ``Representation zeta functions of arithmetic groups of type $A_2$ in positive characteristic'', Preprint, arXiv:2308.07073 [math.RT] (2023) Full Text: arXiv OA License
Crisp, Tyrone; Meir, Ehud; Onn, Uri Functor morphing and representations of automorphism groups of modules. arXiv:2308.03248 Preprint, arXiv:2308.03248 [math.RT] (2023). MSC: 22E50 20G25 20C33 20C15 20C07 18M05 BibTeX Cite \textit{T. Crisp} et al., ``Functor morphing and representations of automorphism groups of modules'', Preprint, arXiv:2308.03248 [math.RT] (2023) Full Text: arXiv OA License
Elder, G. Griffith; Keating, Kevin Galois scaffolds for \(p\)-extensions in characteristic \(p\). arXiv:2308.02775 Preprint, arXiv:2308.02775 [math.NT] (2023). MSC: 11S15 11R33 14L15 16T05 BibTeX Cite \textit{G. G. Elder} and \textit{K. Keating}, ``Galois scaffolds for $p$-extensions in characteristic $p$'', Preprint, arXiv:2308.02775 [math.NT] (2023) Full Text: arXiv OA License
Johnston, Henri; Torzewski, Alex On the existence of free sublattices of bounded index and arithmetic applications. arXiv:2306.17764 Preprint, arXiv:2306.17764 [math.NT] (2023). MSC: 16H20 11R33 11R27 11G05 11G10 BibTeX Cite \textit{H. Johnston} and \textit{A. Torzewski}, ``On the existence of free sublattices of bounded index and arithmetic applications'', Preprint, arXiv:2306.17764 [math.NT] (2023) Full Text: arXiv OA License
Solleveld, Maarten On principal series representations of quasi-split reductive p-adic groups. arXiv:2304.06418 Preprint, arXiv:2304.06418 [math.RT] (2023). MSC: 22E50 20C08 20G25 BibTeX Cite \textit{M. Solleveld}, ``On principal series representations of quasi-split reductive p-adic groups'', Preprint, arXiv:2304.06418 [math.RT] (2023) Full Text: arXiv OA License
Yamaguchi, Yuka; Yamaguchi, Naoya Integer group determinants for \({\rm C}_{4} \rtimes {\rm C}_{4}\). arXiv:2303.13189 Preprint, arXiv:2303.13189 [math.NT] (2023). MSC: 11C20 15B36 11C08 20C15 BibTeX Cite \textit{Y. Yamaguchi} and \textit{N. Yamaguchi}, ``Integer group determinants for ${\rm C}_{4} \rtimes {\rm C}_{4}$'', Preprint, arXiv:2303.13189 [math.NT] (2023) Full Text: arXiv OA License
Yamaguchi, Yuka; Yamaguchi, Naoya Integer group determinants for \({\rm C}_{2}^{2} \rtimes {\rm C}_{4}\). arXiv:2303.08489 Preprint, arXiv:2303.08489 [math.NT] (2023). MSC: 11C20 15B36 11C08 20C15 BibTeX Cite \textit{Y. Yamaguchi} and \textit{N. Yamaguchi}, ``Integer group determinants for ${\rm C}_{2}^{2} \rtimes {\rm C}_{4}$'', Preprint, arXiv:2303.08489 [math.NT] (2023) Full Text: arXiv OA License
Ebrahimi, Mahdi A hook formula for eigenvalues of k-point fixing graph. arXiv:2302.00929 Preprint, arXiv:2302.00929 [math.CO] (2023). MSC: 05A17 05E10 20C30 BibTeX Cite \textit{M. Ebrahimi}, ``A hook formula for eigenvalues of k-point fixing graph'', Preprint, arXiv:2302.00929 [math.CO] (2023) Full Text: arXiv OA License
Kala, Vítězslav Universal quadratic forms and indecomposables in number fields: A survey. arXiv:2301.13222 Preprint, arXiv:2301.13222 [math.NT] (2023). MSC: 11A55 11E12 11E20 11E25 11H06 11H55 11R04 11R11 11R16 11R21 11R80 BibTeX Cite \textit{V. Kala}, ``Universal quadratic forms and indecomposables in number fields: A survey'', Preprint, arXiv:2301.13222 [math.NT] (2023) Full Text: DOI arXiv OA License
Kumar, Narasimha; Sahoo, Satyabrat On the solutions of \(x^2= By^p+Cz^p\) and \(2x^2= By^p+Cz^p\) over totally real fields. arXiv:2301.09263 Preprint, arXiv:2301.09263 [math.NT] (2023). MSC: 11D41 11R80 11F80 11G05 11R04 BibTeX Cite \textit{N. Kumar} and \textit{S. Sahoo}, ``On the solutions of $x^2= By^p+Cz^p$ and $2x^2= By^p+Cz^p$ over totally real fields'', Preprint, arXiv:2301.09263 [math.NT] (2023) Full Text: arXiv OA License
Dousse, Jehanne; Konan, Isaac Multi-grounded partitions and character formulas. (English) Zbl 1515.05025 Sémin. Lothar. Comb. 86B, Article 26, 12 p. (2022). MSC: 05A17 05A15 11P81 PDFBibTeX XMLCite \textit{J. Dousse} and \textit{I. Konan}, Sémin. Lothar. Comb. 86B, Article 26, 12 p. (2022; Zbl 1515.05025) Full Text: Link
Ban, Dubravka \(p\)-adic Banach space representations. With applications to principal series. (English) Zbl 1523.22001 Lecture Notes in Mathematics 2325. Cham: Springer (ISBN 978-3-031-22683-0/pbk; 978-3-031-22684-7/ebook). xii, 214 p. (2022). Reviewer: Barbara Bošnjak (Zagreb) MSC: 22-02 22E50 11F70 11F85 20G25 46S10 PDFBibTeX XMLCite \textit{D. Ban}, \(p\)-adic Banach space representations. With applications to principal series. Cham: Springer (2022; Zbl 1523.22001) Full Text: DOI
Afgoustidis, Alexandre; Aubert, Anne-Marie \(C^*\)-blocks and crossed products for classical \(p\)-adic groups. (English) Zbl 07635279 Int. Math. Res. Not. 2022, No. 22, 17849-17908 (2022). MSC: 22E45 20G25 46L05 PDFBibTeX XMLCite \textit{A. Afgoustidis} and \textit{A.-M. Aubert}, Int. Math. Res. Not. 2022, No. 22, 17849--17908 (2022; Zbl 07635279) Full Text: DOI arXiv
Krásenský, Jakub; Raška, Martin; Sgallová, Ester Pythagoras numbers of orders in biquadratic fields. (English) Zbl 1508.11047 Expo. Math. 40, No. 4, 1181-1228 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11R04 11R80 PDFBibTeX XMLCite \textit{J. Krásenský} et al., Expo. Math. 40, No. 4, 1181--1228 (2022; Zbl 1508.11047) Full Text: DOI arXiv
Feng, Yongqi; Opdam, Eric; Solleveld, Maarten On formal degrees of unipotent representations. (English) Zbl 07628517 J. Inst. Math. Jussieu 21, No. 6, 1947-1999 (2022). MSC: 22E50 11S37 20G25 20G05 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Inst. Math. Jussieu 21, No. 6, 1947--1999 (2022; Zbl 07628517) Full Text: DOI arXiv
Bley, Werner; Hofmann, Tommy; Johnston, Henri Computation of lattice isomorphisms and the integral matrix similarity problem. (English) Zbl 1507.11101 Forum Math. Sigma 10, Paper No. e87, 36 p. (2022). Reviewer: James E. Carter (Charleston) MSC: 11R33 11Y40 16Z05 20G30 PDFBibTeX XMLCite \textit{W. Bley} et al., Forum Math. Sigma 10, Paper No. e87, 36 p. (2022; Zbl 1507.11101) Full Text: DOI arXiv
McKee, James; Oh, Byeong-Kweon; Smyth, Chris The Cassels heights of cyclotomic integers. (English) Zbl 07600588 Math. Z. 302, No. 3, 1785-1796 (2022). Reviewer: Pavlo Yatsyna (Espoo) MSC: 11R18 11D85 11E25 PDFBibTeX XMLCite \textit{J. McKee} et al., Math. Z. 302, No. 3, 1785--1796 (2022; Zbl 07600588) Full Text: DOI arXiv
Rhoades, Brendon Plethysm and a character embedding problem of Miller. (English) Zbl 1514.20044 C. R., Math., Acad. Sci. Paris 360, 1113-1116 (2022). MSC: 20C30 05E05 05A17 05E10 PDFBibTeX XMLCite \textit{B. Rhoades}, C. R., Math., Acad. Sci. Paris 360, 1113--1116 (2022; Zbl 1514.20044) Full Text: DOI arXiv
Waldspurger, J.-L. Functions whose orbital integrals and those of their Fourier transforms are at topologically nilpotent support. (Fonctions dont les intégrales orbitales et celles de leurs transformées de Fourier sont à support topologiquement nilpotent.) (English) Zbl 1517.20075 Mich. Math. J. 72, 621-641 (2022). MSC: 20G25 17B08 22E50 PDFBibTeX XMLCite \textit{J. L. Waldspurger}, Mich. Math. J. 72, 621--641 (2022; Zbl 1517.20075) Full Text: DOI arXiv Link
Fintzen, Jessica Tame cuspidal representations in non-defining characteristics. (English) Zbl 1523.22019 Mich. Math. J. 72, 331-342 (2022). Reviewer: Dongwen Liu (Zhejiang) MSC: 22E50 20G05 20C20 20G25 PDFBibTeX XMLCite \textit{J. Fintzen}, Mich. Math. J. 72, 331--342 (2022; Zbl 1523.22019) Full Text: DOI arXiv Link
Greither, Cornelius A note on normal bases for the square root of the codifferent in local fields. (English) Zbl 1510.11157 Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 87-109 (2022). Reviewer: Pierre Guillot (Strasbourg) MSC: 11R33 11S23 PDFBibTeX XMLCite \textit{C. Greither}, Riv. Mat. Univ. Parma (N.S.) 13, No. 1, 87--109 (2022; Zbl 1510.11157) Full Text: Link
Bošnjak, Barbara; Matić, Ivan Discrete series and the essentially Speh representations. (English) Zbl 1525.22009 J. Algebra 611, 65-81 (2022). Reviewer: Chuijia Wang (Haifa) MSC: 22E50 20G25 PDFBibTeX XMLCite \textit{B. Bošnjak} and \textit{I. Matić}, J. Algebra 611, 65--81 (2022; Zbl 1525.22009) Full Text: DOI
Campbell, H. E. A.; Wehlau, D. L. Zigzag sequences and representations of integers. (English) Zbl 1503.11014 Fibonacci Q. 60, No. 3, 220-225 (2022). MSC: 11A67 11B39 PDFBibTeX XMLCite \textit{H. E. A. Campbell} and \textit{D. L. Wehlau}, Fibonacci Q. 60, No. 3, 220--225 (2022; Zbl 1503.11014) Full Text: Link
Dousse, Jehanne; Konan, Isaac Generalisations of Capparelli’s and Primc’s identities. I: Coloured Frobenius partitions and combinatorial proofs. (English) Zbl 1497.05010 Adv. Math. 408, Part B, Article ID 108571, 70 p. (2022). Reviewer: Mircea Merca (Cornu de Jos) MSC: 05A17 11P84 05A15 05A19 05E10 17B37 17B65 PDFBibTeX XMLCite \textit{J. Dousse} and \textit{I. Konan}, Adv. Math. 408, Part B, Article ID 108571, 70 p. (2022; Zbl 1497.05010) Full Text: DOI arXiv
Yates, Dean A generalisation of bar-core partitions. (English) Zbl 07584351 Algebr. Comb. 5, No. 4, 667-698 (2022). MSC: 20C30 05E10 05A17 PDFBibTeX XMLCite \textit{D. Yates}, Algebr. Comb. 5, No. 4, 667--698 (2022; Zbl 07584351) Full Text: DOI arXiv
Komatsu, Takao The Frobenius number for sequences of triangular numbers associated with number of solutions. (English) Zbl 1498.11093 Ann. Comb. 26, No. 3, 757-779 (2022). Reviewer: Anton Shutov (Vladimir) MSC: 11D07 05A15 05A17 05A19 11B68 11D04 11P81 PDFBibTeX XMLCite \textit{T. Komatsu}, Ann. Comb. 26, No. 3, 757--779 (2022; Zbl 1498.11093) Full Text: DOI arXiv
Daoud, Alexandre On the structure of the module of Euler systems for a \(p\)-adic representation. (English) Zbl 1520.11054 New York J. Math. 28, 993-1041 (2022). Reviewer: Andreas Nickel (München) MSC: 11F80 11R23 11R33 PDFBibTeX XMLCite \textit{A. Daoud}, New York J. Math. 28, 993--1041 (2022; Zbl 1520.11054) Full Text: arXiv Link
Düzlü, Samed; Krämer, Juliane Application of automorphic forms to lattice problems. (English) Zbl 1491.14042 J. Math. Cryptol. 16, 156-197 (2022). Reviewer: Sami Omar (Sukhair) MSC: 14G50 11F41 20G30 PDFBibTeX XMLCite \textit{S. Düzlü} and \textit{J. Krämer}, J. Math. Cryptol. 16, 156--197 (2022; Zbl 1491.14042) Full Text: DOI
Solleveld, Maarten Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups. (English) Zbl 1517.22010 J. Algebra 606, 371-470 (2022). Reviewer: Stefan Dawydiak (Bonn) MSC: 22E50 20G25 20C08 PDFBibTeX XMLCite \textit{M. Solleveld}, J. Algebra 606, 371--470 (2022; Zbl 1517.22010) Full Text: DOI arXiv
Keating, Kevin; Schwartz, Paul Galois scaffolds and Galois module structure for totally ramified \(C_{p^2}\)-extensions in characteristic 0. (English) Zbl 1500.11084 J. Number Theory 239, 113-136 (2022). Reviewer: Henri Johnston (Exeter) MSC: 11S15 11R33 PDFBibTeX XMLCite \textit{K. Keating} and \textit{P. Schwartz}, J. Number Theory 239, 113--136 (2022; Zbl 1500.11084) Full Text: DOI arXiv
Dawsey, Madeline Locus; Sharp, Benjamin Self-conjugate \(t\)-core partitions and applications. (English) Zbl 1490.05013 Australas. J. Comb. 82, Part 2, 212-227 (2022). MSC: 05A17 11P81 11P83 20C20 PDFBibTeX XMLCite \textit{M. L. Dawsey} and \textit{B. Sharp}, Australas. J. Comb. 82, Part 2, 212--227 (2022; Zbl 1490.05013) Full Text: arXiv Link
Lai, King Fai Differential equations and Lie group representations. (English) Zbl 1489.11195 Front. Math. China 17, No. 2, 171-225 (2022); translation from Adv. Math., Beijing 48, No. 3, 257–301 (2019). MSC: 11S80 14F30 20G05 20G25 22E45 22E50 PDFBibTeX XMLCite \textit{K. F. Lai}, Front. Math. China 17, No. 2, 171--225 (2022; Zbl 1489.11195); translation from Adv. Math., Beijing 48, No. 3, 257--301 (2019) Full Text: DOI
Moreno Cañadas, Agustín; Marín Gaviria, Isaías David; Fernández Espinosa, Pedro Fernando Brauer configuration algebras and Kronecker modules to categorify integer sequences. (English) Zbl 1510.16012 Electron. Res. Arch. 30, No. 2, 661-682 (2022). MSC: 16G20 11B39 05A17 16G70 PDFBibTeX XMLCite \textit{A. Moreno Cañadas} et al., Electron. Res. Arch. 30, No. 2, 661--682 (2022; Zbl 1510.16012) Full Text: DOI
Dousse, Jehanne; Konan, Isaac Multi-grounded partitions and character formulas. (English) Zbl 1514.17027 Adv. Math. 400, Article ID 108275, 41 p. (2022). MSC: 17B67 05E10 17B10 11P81 05A17 PDFBibTeX XMLCite \textit{J. Dousse} and \textit{I. Konan}, Adv. Math. 400, Article ID 108275, 41 p. (2022; Zbl 1514.17027) Full Text: DOI arXiv
Gehrmann, Lennart Invertible analytic functions on Drinfeld symmetric spaces and universal extensions of Steinberg representations. (English) Zbl 1497.11141 Res. Math. Sci. 9, No. 1, Paper No. 16, 21 p. (2022). MSC: 11F85 14G22 11F75 11F41 20G25 PDFBibTeX XMLCite \textit{L. Gehrmann}, Res. Math. Sci. 9, No. 1, Paper No. 16, 21 p. (2022; Zbl 1497.11141) Full Text: DOI arXiv
Gil-Muñoz, Daniel; Rio, Anna Hopf-Galois module structure of quartic Galois extensions of \(\mathbb{Q}\). (English) Zbl 1502.11115 J. Pure Appl. Algebra 226, No. 9, Article ID 107045, 31 p. (2022). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R33 16T05 PDFBibTeX XMLCite \textit{D. Gil-Muñoz} and \textit{A. Rio}, J. Pure Appl. Algebra 226, No. 9, Article ID 107045, 31 p. (2022; Zbl 1502.11115) Full Text: DOI arXiv
Abe, N.; Herzig, F.; Vignéras, M. F. Inverse Satake isomorphism and change of weight. (English) Zbl 1517.20009 Represent. Theory 26, 264-324 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20C08 11F70 20G25 22E50 PDFBibTeX XMLCite \textit{N. Abe} et al., Represent. Theory 26, 264--324 (2022; Zbl 1517.20009) Full Text: DOI arXiv
Mosunov, Anton On the representation of integers by binary forms defined by means of the relation \((x + yi)^n= R_n(x,y) + J_n(x,y)i\). (English) Zbl 1491.11040 Mosc. J. Comb. Number Theory 11, No. 1, 71-78 (2022). Reviewer: István Gaál (Debrecen) MSC: 11E25 11E76 11D59 11D45 PDFBibTeX XMLCite \textit{A. Mosunov}, Mosc. J. Comb. Number Theory 11, No. 1, 71--78 (2022; Zbl 1491.11040) Full Text: DOI arXiv
Jolliffe, Liam; Martin, Stuart On the Schaper numbers of partitions. (English) Zbl 07499696 Q. J. Math. 73, No. 1, 127-148 (2022). MSC: 20C30 05E10 05A17 11P81 PDFBibTeX XMLCite \textit{L. Jolliffe} and \textit{S. Martin}, Q. J. Math. 73, No. 1, 127--148 (2022; Zbl 07499696) Full Text: DOI
Jayne, Rebecca L.; Misra, Kailash C. Multiplicities of some maximal dominant weights of the \(\widehat{s\ell }(n)\)-modules \(V(k \Lambda_0)\). (English) Zbl 1512.17045 Algebr. Represent. Theory 25, No. 2, 477-490 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 17B67 17B37 17B10 05A05 05E10 05A17 PDFBibTeX XMLCite \textit{R. L. Jayne} and \textit{K. C. Misra}, Algebr. Represent. Theory 25, No. 2, 477--490 (2022; Zbl 1512.17045) Full Text: DOI arXiv
Mazhouda, Kamel; Sodaïgui, Bouchaïb; Taous, Mohammed On Steinitz classes, realizable Galois module classes and embedding problems for non-abelian extensions of degree a power of 2. (English) Zbl 1491.11105 Commun. Algebra 50, No. 4, 1446-1458 (2022). Reviewer: Isabelle Dubois (Metz) MSC: 11R33 PDFBibTeX XMLCite \textit{K. Mazhouda} et al., Commun. Algebra 50, No. 4, 1446--1458 (2022; Zbl 1491.11105) Full Text: DOI
Gil-Muñoz, Daniel; Rio, Anna Induced Hopf Galois structures and their local Hopf Galois modules. (English) Zbl 1492.11151 Publ. Mat., Barc. 66, No. 1, 99-128 (2022). Reviewer: James E. Carter (Charleston) MSC: 11R33 16T05 PDFBibTeX XMLCite \textit{D. Gil-Muñoz} and \textit{A. Rio}, Publ. Mat., Barc. 66, No. 1, 99--128 (2022; Zbl 1492.11151) Full Text: DOI arXiv
Krásenský, Jakub A cubic ring of integers with the smallest Pythagoras number. (English) Zbl 1491.11039 Arch. Math. 118, No. 1, 39-48 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E12 11R04 11R16 11R80 PDFBibTeX XMLCite \textit{J. Krásenský}, Arch. Math. 118, No. 1, 39--48 (2022; Zbl 1491.11039) Full Text: DOI arXiv
Hassain, M.; Singla, Pooja Representation growth of compact special linear groups of degree two. (English) Zbl 1500.22006 Adv. Math. 396, Article ID 108164, 61 p. (2022). Reviewer: Alexander Stasinski (Durham) MSC: 22E50 20G05 20C15 20G25 20F69 PDFBibTeX XMLCite \textit{M. Hassain} and \textit{P. Singla}, Adv. Math. 396, Article ID 108164, 61 p. (2022; Zbl 1500.22006) Full Text: DOI arXiv
Chan, Heng Huat; Wang, Liuquan Borweins’ cubic theta functions revisited. (English) Zbl 1501.33008 Ramanujan J. 57, No. 1, 55-70 (2022). MSC: 33E05 05A17 11E25 11F27 11P82 PDFBibTeX XMLCite \textit{H. H. Chan} and \textit{L. Wang}, Ramanujan J. 57, No. 1, 55--70 (2022; Zbl 1501.33008) Full Text: DOI
Aizenbud, Avraham; Sayag, Eitan Correction to: “Homological multiplicities in representation theory of \(p\)-adic groups”. (English) Zbl 1478.22007 Math. Z. 300, No. 2, 2093-2098 (2022). MSC: 22E45 20G25 PDFBibTeX XMLCite \textit{A. Aizenbud} and \textit{E. Sayag}, Math. Z. 300, No. 2, 2093--2098 (2022; Zbl 1478.22007) Full Text: DOI
Del Corso, Ilaria; Ferri, Fabio; Lombardo, Davide How far is an extension of \(p\)-adic fields from having a normal integral basis? (English) Zbl 1487.11104 J. Number Theory 233, 158-197 (2022). Reviewer: Günter Lettl (Graz) MSC: 11R33 11R04 PDFBibTeX XMLCite \textit{I. Del Corso} et al., J. Number Theory 233, 158--197 (2022; Zbl 1487.11104) Full Text: DOI arXiv
Aubert, Anne-Marie; Plymen, Roger [Fintzen, Jessica] Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups (with an appendix by Jessica Fintzen). (English) Zbl 1514.22007 J. Number Theory 233, 24-58 (2022). Reviewer: David Schwein (Ann Arbor) MSC: 22E50 20G25 PDFBibTeX XMLCite \textit{A.-M. Aubert} and \textit{R. Plymen}, J. Number Theory 233, 24--58 (2022; Zbl 1514.22007) Full Text: DOI arXiv
Greither, Cornelius; Kataoka, Takenori; Kurihara, Masato Fitting ideals of \(p\)-ramified Iwasawa modules over totally real fields. (English) Zbl 1486.11132 Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022). Reviewer: Henri Johnston (Exeter) MSC: 11R23 11R33 11R34 11R42 PDFBibTeX XMLCite \textit{C. Greither} et al., Sel. Math., New Ser. 28, No. 1, Paper No. 14, 48 p. (2022; Zbl 1486.11132) Full Text: DOI arXiv
Agrawal, Shishir; Strauch, Matthias From category \(\mathcal{O}^{\infty}\) to locally analytic representations. (English) Zbl 1511.22022 J. Algebra 592, 169-232 (2022). MSC: 22E50 20G25 PDFBibTeX XMLCite \textit{S. Agrawal} and \textit{M. Strauch}, J. Algebra 592, 169--232 (2022; Zbl 1511.22022) Full Text: DOI arXiv