Jakhar, Anuj Nonmonogenity of number fields defined by trinomials. (English) Zbl 07530326 New York J. Math. 28, 650-658 (2022). MSC: 11R04 PDF BibTeX XML Cite \textit{A. Jakhar}, New York J. Math. 28, 650--658 (2022; Zbl 07530326) Full Text: Link OpenURL
Platonov, Vladimir P.; Zhgoon, Vladimir S.; Petrunin, Maksim M. On the problem of periodicity of continued fraction expansions of \(\sqrt{f}\) for cubic polynomials \(f\) over algebraic number fields. (English. Russian original) Zbl 07528027 Sb. Math. 213, No. 3, 412-442 (2022); translation from Mat. Sb. 213, No. 3, 139-170 (2022). MSC: 11J70 11R27 11R58 PDF BibTeX XML Cite \textit{V. P. Platonov} et al., Sb. Math. 213, No. 3, 412--442 (2022; Zbl 07528027); translation from Mat. Sb. 213, No. 3, 139--170 (2022) Full Text: DOI OpenURL
Lei, Antonio; Lim, Meng Fai On fine Selmer groups and signed Selmer groups of elliptic modular forms. (English) Zbl 07527744 Bull. Aust. Math. Soc. 105, No. 3, 419-430 (2022). MSC: 11R23 11F11 11R18 PDF BibTeX XML Cite \textit{A. Lei} and \textit{M. F. Lim}, Bull. Aust. Math. Soc. 105, No. 3, 419--430 (2022; Zbl 07527744) Full Text: DOI OpenURL
Zhu, Ruipeng A note on the discriminant of reflection Hopf algebras. (English) Zbl 07526504 J. Algebra 604, 1-27 (2022). MSC: 11R29 16G30 PDF BibTeX XML Cite \textit{R. Zhu}, J. Algebra 604, 1--27 (2022; Zbl 07526504) Full Text: DOI OpenURL
Bhargava, Manjul; Shankar, Arul; Wang, Xiaoheng Squarefree values of polynomial discriminants. I. (English) Zbl 07526074 Invent. Math. 228, No. 3, 1037-1073 (2022). MSC: 11Rxx 11Gxx 14Gxx PDF BibTeX XML Cite \textit{M. Bhargava} et al., Invent. Math. 228, No. 3, 1037--1073 (2022; Zbl 07526074) Full Text: DOI OpenURL
Chattopadhyay, Jaitra; Saikia, Anupam Totally real bi-quadratic fields with large Pólya groups. (English) Zbl 07525948 Res. Number Theory 8, No. 2, Paper No. 30, 6 p. (2022). MSC: 11R29 11R34 13F20 11-XX PDF BibTeX XML Cite \textit{J. Chattopadhyay} and \textit{A. Saikia}, Res. Number Theory 8, No. 2, Paper No. 30, 6 p. (2022; Zbl 07525948) Full Text: DOI OpenURL
Le, Huy Hung; Dac, Tuan Ngo Zeta-like multiple zeta values in positive characteristic. (English) Zbl 07525064 Math. Z. 301, No. 2, 2037-2057 (2022). MSC: 11M32 11G09 11M38 11R58 PDF BibTeX XML Cite \textit{H. H. Le} and \textit{T. N. Dac}, Math. Z. 301, No. 2, 2037--2057 (2022; Zbl 07525064) Full Text: DOI OpenURL
Bhargava, Manjul On the number of monogenizations of a quartic order (with an appendix by Shabnam Akhtari). (English) Zbl 07523953 Publ. Math. 100, No. 3-4, 513-531 (2022). MSC: 11R16 11D09 PDF BibTeX XML Cite \textit{M. Bhargava}, Publ. Math. 100, No. 3--4, 513--531 (2022; Zbl 07523953) Full Text: DOI OpenURL
Wang, Biao Dynamics on the number of prime divisors for additive arithmetic semigroups. (English) Zbl 07523457 Finite Fields Appl. 81, Article ID 102029, 28 p. (2022). MSC: 37A44 11R45 11K06 PDF BibTeX XML Cite \textit{B. Wang}, Finite Fields Appl. 81, Article ID 102029, 28 p. (2022; Zbl 07523457) Full Text: DOI OpenURL
Chen, Ruikai; Mesnager, Sihem A function field approach toward good polynomials for further results on optimal LRC codes. (English) Zbl 07523456 Finite Fields Appl. 81, Article ID 102028, 18 p. (2022). MSC: 94B05 11T06 11R58 PDF BibTeX XML Cite \textit{R. Chen} and \textit{S. Mesnager}, Finite Fields Appl. 81, Article ID 102028, 18 p. (2022; Zbl 07523456) Full Text: DOI OpenURL
Frei, Christopher; Loughran, Daniel; Newton, Rachel [Harpaz, Yonatan; Wittenberg, Olivier] Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg). (English) Zbl 07523046 Comment. Math. Helv. 97, No. 1, 133-181 (2022). MSC: 11R37 11R45 43A70 14G05 PDF BibTeX XML Cite \textit{C. Frei} et al., Comment. Math. Helv. 97, No. 1, 133--181 (2022; Zbl 07523046) Full Text: DOI OpenURL
Hörmann, Fritz; Perucca, Antonella; Sgobba, Pietro; Tronto, Sebastiano Explicit Kummer generators for cyclotomic extensions. (English) Zbl 07523013 JP J. Algebra Number Theory Appl. 53, No. 1, 69-84 (2022). MSC: 11R11 11R18 11R21 11Y40 PDF BibTeX XML Cite \textit{F. Hörmann} et al., JP J. Algebra Number Theory Appl. 53, No. 1, 69--84 (2022; Zbl 07523013) Full Text: DOI OpenURL
Kataoka, Takenori Stark systems and equivariant main conjectures. (English) Zbl 07522833 Osaka J. Math. 59, No. 2, 417-452 (2022). MSC: 11R23 PDF BibTeX XML Cite \textit{T. Kataoka}, Osaka J. Math. 59, No. 2, 417--452 (2022; Zbl 07522833) Full Text: Link OpenURL
Howe, Sean The spectral \(p\)-adic Jacquet-Langlands correspondence and a question of Serre. (English) Zbl 07522562 Compos. Math. 158, No. 2, 245-286 (2022). MSC: 11F33 11F77 11R39 PDF BibTeX XML Cite \textit{S. Howe}, Compos. Math. 158, No. 2, 245--286 (2022; Zbl 07522562) Full Text: DOI OpenURL
Jones, Lenny Monogenic reciprocal trinomials and their Galois groups. (English) Zbl 07522545 J. Algebra Appl. 21, No. 2, Article ID 2250026, 11 p. (2022). MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, J. Algebra Appl. 21, No. 2, Article ID 2250026, 11 p. (2022; Zbl 07522545) Full Text: DOI OpenURL
Brešar, Matej; Shulman, Victor S. On, around, and beyond Frobenius’ theorem on division algebras. (English) Zbl 07518420 Linear Multilinear Algebra 70, No. 7, 1369-1381 (2022). MSC: 11R52 16D70 16K20 16N40 16P10 PDF BibTeX XML Cite \textit{M. Brešar} and \textit{V. S. Shulman}, Linear Multilinear Algebra 70, No. 7, 1369--1381 (2022; Zbl 07518420) Full Text: DOI OpenURL
Xie, Jianfeng; Chao, Kuok Fai A note on 3-divisibility of class number of quadratic field. (English) Zbl 07518334 Chin. Ann. Math., Ser. B 43, No. 2, 307-318 (2022). MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{J. Xie} and \textit{K. F. Chao}, Chin. Ann. Math., Ser. B 43, No. 2, 307--318 (2022; Zbl 07518334) Full Text: DOI OpenURL
Bouhlal, A.; Safouane, N.; Belkhadir, A.; Daher, R. Equivalence between K-functionals and modulus of smoothness on the quaternion algebra. (English) Zbl 07517793 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 1, 79-89 (2022). MSC: 42A38 42B10 42C40 11R52 41A50 PDF BibTeX XML Cite \textit{A. Bouhlal} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 1, 79--89 (2022; Zbl 07517793) Full Text: DOI OpenURL
Bonciocat, Ciprian Mircea; Bonciocat, Nicolae Ciprian Zero-free angular sectors and lens-shaped regions for polynomials, with applications to irreducibility. (English) Zbl 07517777 Commun. Algebra 50, No. 6, 2604-2620 (2022). MSC: 11R09 11C08 PDF BibTeX XML Cite \textit{C. M. Bonciocat} and \textit{N. C. Bonciocat}, Commun. Algebra 50, No. 6, 2604--2620 (2022; Zbl 07517777) Full Text: DOI OpenURL
Bajpai, Prajeet; Bennett, Michael A. A note on pencils of norm-form equations. (English) Zbl 07517642 Acta Arith. 203, No. 1, 19-26 (2022). MSC: 11D57 11D61 11J86 11R16 PDF BibTeX XML Cite \textit{P. Bajpai} and \textit{M. A. Bennett}, Acta Arith. 203, No. 1, 19--26 (2022; Zbl 07517642) Full Text: DOI OpenURL
Afre, Naresh V.; Garge, Anuradha S. Gow-Tamburini type generation of \(\mathrm{SL}_3(R)\) over the rings of integers of imaginary quadratic number fields of class number one. (English) Zbl 07517449 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 26, 6 p. (2022). MSC: 11R04 11R11 13F07 PDF BibTeX XML Cite \textit{N. V. Afre} and \textit{A. S. Garge}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 26, 6 p. (2022; Zbl 07517449) Full Text: DOI OpenURL
Guo, Jia-Wei; Sheu, Nai-Heng; Yu, Chia-Fu Class numbers of CM algebraic tori, CM abelian varieties and components of unitary Shimura varieties. (English) Zbl 07517289 Nagoya Math. J. 245, 74-99 (2022). MSC: 14K22 11R29 PDF BibTeX XML Cite \textit{J.-W. Guo} et al., Nagoya Math. J. 245, 74--99 (2022; Zbl 07517289) Full Text: DOI OpenURL
Chems-Eddin, Mohamed Mahmoud The rank of the 2-class group of some fields with large degree. (English) Zbl 07517008 Algebra Colloq. 29, No. 2, 181-188 (2022). MSC: 11R29 11R23 11R27 11R04 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin}, Algebra Colloq. 29, No. 2, 181--188 (2022; Zbl 07517008) Full Text: DOI OpenURL
Frisch, Sophie; Nakato, Sarah; Rissner, Roswitha Split absolutely irreducible integer-valued polynomials over discrete valuation domains. (English) Zbl 07515336 J. Algebra 602, 247-277 (2022). MSC: 13A05 11S05 11R09 13B25 13F20 11C08 PDF BibTeX XML Cite \textit{S. Frisch} et al., J. Algebra 602, 247--277 (2022; Zbl 07515336) Full Text: DOI OpenURL
Jun, Byungheup; Lee, Jungyun; Sun, Hae-Sang Cyclotomic fields are generated by cyclotomic Hecke \(L\)-values of totally real fields. (English) Zbl 07514708 Adv. Math. 401, Article ID 108327, 38 p. (2022). MSC: 11R42 11R80 11R23 PDF BibTeX XML Cite \textit{B. Jun} et al., Adv. Math. 401, Article ID 108327, 38 p. (2022; Zbl 07514708) Full Text: DOI OpenURL
Ao, Lingfeng; Fei, Shuanglin; Hong, Shaofang On the Galois group of three classes of trinomials. (English) Zbl 07512892 AIMS Math. 7, No. 1, 212-224 (2022). MSC: 11R09 11R32 11C08 PDF BibTeX XML Cite \textit{L. Ao} et al., AIMS Math. 7, No. 1, 212--224 (2022; Zbl 07512892) Full Text: DOI OpenURL
Brussel, Eric Hasse invariant for the tame Brauer group of a higher local field. (English) Zbl 07512760 Trans. Am. Math. Soc., Ser. B 9, 258-287 (2022). MSC: 11R52 11S45 12G05 16K50 PDF BibTeX XML Cite \textit{E. Brussel}, Trans. Am. Math. Soc., Ser. B 9, 258--287 (2022; Zbl 07512760) Full Text: DOI OpenURL
Wang, Li Yuan; Wu, Hai Liang On certain determinants involving Legendre symbols. (English) Zbl 07510924 Ramanujan J. 58, No. 1, 43-56 (2022). MSC: 11C20 11L05 11R29 PDF BibTeX XML Cite \textit{L. Y. Wang} and \textit{H. L. Wu}, Ramanujan J. 58, No. 1, 43--56 (2022; Zbl 07510924) Full Text: DOI OpenURL
Toshiro, Hiranouchi Galois symbol map for a Tate curve. (English) Zbl 07510737 Bull. Kyushu Inst. Technol., Pure Appl. Math. 69, 1-6 (2022). MSC: 11G45 14C35 11S31 14G20 11R37 14E20 PDF BibTeX XML Cite \textit{H. Toshiro}, Bull. Kyushu Inst. Technol., Pure Appl. Math. 69, 1--6 (2022; Zbl 07510737) Full Text: Link OpenURL
Garai, Sumita; Papikian, Mihran Computing endomorphism rings and Frobenius matrices of Drinfeld modules. (English) Zbl 07510294 J. Number Theory 237, 145-164 (2022). MSC: 11G09 11R58 PDF BibTeX XML Cite \textit{S. Garai} and \textit{M. Papikian}, J. Number Theory 237, 145--164 (2022; Zbl 07510294) Full Text: DOI OpenURL
Chen, Chien-Hua Surjectivity of the adelic Galois representation associated to a Drinfeld module of rank 3. (English) Zbl 07510292 J. Number Theory 237, 99-123 (2022). MSC: 11G09 11R58 20G40 11G10 PDF BibTeX XML Cite \textit{C.-H. Chen}, J. Number Theory 237, 99--123 (2022; Zbl 07510292) Full Text: DOI OpenURL
Armana, Cécile; Wei, Fu-Tsun Sturm-type bounds for modular forms over function fields. (English) Zbl 07510291 J. Number Theory 237, 67-98 (2022). MSC: 11F25 11F30 11F41 11F52 11R58 PDF BibTeX XML Cite \textit{C. Armana} and \textit{F.-T. Wei}, J. Number Theory 237, 67--98 (2022; Zbl 07510291) Full Text: DOI OpenURL
Demangos, L.; Gendron, T. M. Modular invariant of rank 1 Drinfeld modules and class field generation. (English) Zbl 07510290 J. Number Theory 237, 40-66 (2022). MSC: 11R58 11R37 11F52 PDF BibTeX XML Cite \textit{L. Demangos} and \textit{T. M. Gendron}, J. Number Theory 237, 40--66 (2022; Zbl 07510290) Full Text: DOI OpenURL
Cojocaru, Alina Carmen; Papikian, Mihran The growth of the discriminant of the endomorphism ring of the reduction of a rank 2 generic Drinfeld module. (English) Zbl 07510289 J. Number Theory 237, 15-39 (2022). MSC: 11G09 11R58 11R29 11R44 PDF BibTeX XML Cite \textit{A. C. Cojocaru} and \textit{M. Papikian}, J. Number Theory 237, 15--39 (2022; Zbl 07510289) Full Text: DOI OpenURL
Fiorilli, Daniel; Jouve, Florent Unconditional Chebyshev biases in number fields. (Biais de Tchebychev inconditionnels dans les corps de nombres.) (English. French summary) Zbl 07510278 J. Éc. Polytech., Math. 9, 671-679 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R44 11R42 11R45 PDF BibTeX XML Cite \textit{D. Fiorilli} and \textit{F. Jouve}, J. Éc. Polytech., Math. 9, 671--679 (2022; Zbl 07510278) Full Text: DOI OpenURL
Akhtari, Shabnam; Vaaler, Jeffrey D. Independent relative units of low height. (English) Zbl 07509428 Acta Arith. 202, No. 4, 389-401 (2022). MSC: 11J25 11R04 46B04 PDF BibTeX XML Cite \textit{S. Akhtari} and \textit{J. D. Vaaler}, Acta Arith. 202, No. 4, 389--401 (2022; Zbl 07509428) Full Text: DOI OpenURL
Chen, Chien-Hua Exceptional cases of adelic surjectivity for Drinfeld modules of rank 2. (English) Zbl 07509426 Acta Arith. 202, No. 4, 361-377 (2022). MSC: 11G09 11R32 11R37 11R58 11R60 PDF BibTeX XML Cite \textit{C.-H. Chen}, Acta Arith. 202, No. 4, 361--377 (2022; Zbl 07509426) Full Text: DOI OpenURL
Kolderup, Håkon Remarks on classical number-theoretic aspects of Milnor-Witt K-theory. (English) Zbl 07509425 Acta Arith. 202, No. 4, 337-359 (2022). MSC: 11R04 11R70 11S70 14F42 19F15 PDF BibTeX XML Cite \textit{H. Kolderup}, Acta Arith. 202, No. 4, 337--359 (2022; Zbl 07509425) Full Text: DOI OpenURL
Boxall, Gareth; Jones, Gareth A.; Schmidt, Harry Rational values of transcendental functions and arithmetic dynamics. (English) Zbl 07509403 J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567-1592 (2022). MSC: 37P05 37F10 37F15 11G50 11R09 30D35 PDF BibTeX XML Cite \textit{G. Boxall} et al., J. Eur. Math. Soc. (JEMS) 24, No. 5, 1567--1592 (2022; Zbl 07509403) Full Text: DOI OpenURL
Bekker, Boris; Podkopaev, Oleg On the functional equation \(f(\alpha x+\beta )=f(x)\). (English) Zbl 07508335 Aequationes Math. 96, No. 2, 349-360 (2022). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 39B22 12E05 11R27 PDF BibTeX XML Cite \textit{B. Bekker} and \textit{O. Podkopaev}, Aequationes Math. 96, No. 2, 349--360 (2022; Zbl 07508335) Full Text: DOI OpenURL
Li, Yuanlin; Zhong, Qinghai On clean, weakly clean and feebly clean commutative group rings. (English) Zbl 07507869 J. Algebra Appl. 21, No. 5, Article ID 2250085, 33 p. (2022). Reviewer: Peter Danchev (Sofia) MSC: 16S34 11R11 11R18 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Q. Zhong}, J. Algebra Appl. 21, No. 5, Article ID 2250085, 33 p. (2022; Zbl 07507869) Full Text: DOI OpenURL
Castella, Francesc; Wan, Xin The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. (English) Zbl 07507732 Adv. Math. 400, Article ID 108266, 45 p. (2022). MSC: 11R23 11G05 11G40 PDF BibTeX XML Cite \textit{F. Castella} and \textit{X. Wan}, Adv. Math. 400, Article ID 108266, 45 p. (2022; Zbl 07507732) Full Text: DOI OpenURL
Kirschmer, Markus; Nebe, Gabriele Binary Hermitian lattices over number fields. (English) Zbl 07507088 Exp. Math. 31, No. 1, 280-301 (2022). MSC: 11E20 11E41 11E12 11R52 PDF BibTeX XML Cite \textit{M. Kirschmer} and \textit{G. Nebe}, Exp. Math. 31, No. 1, 280--301 (2022; Zbl 07507088) Full Text: DOI OpenURL
Gil-Muñoz, Daniel; Rio, Anna Hopf-Galois module structure of quartic Galois extensions of \(\mathbb{Q}\). (English) Zbl 07506964 J. Pure Appl. Algebra 226, No. 9, Article ID 107045, 31 p. (2022). MSC: 11R33 16T05 PDF BibTeX XML Cite \textit{D. Gil-Muñoz} and \textit{A. Rio}, J. Pure Appl. Algebra 226, No. 9, Article ID 107045, 31 p. (2022; Zbl 07506964) Full Text: DOI OpenURL
Pagani, Lorenzo Greenberg’s conjecture for real quadratic fields and the cyclotomic \(\mathbb{Z}_2\)-extensions. (English) Zbl 07506856 Math. Comput. 91, No. 335, 1437-1467 (2022). MSC: 11R29 11Y40 11R23 PDF BibTeX XML Cite \textit{L. Pagani}, Math. Comput. 91, No. 335, 1437--1467 (2022; Zbl 07506856) Full Text: DOI OpenURL
Cossu, Laura; Zanardo, Paolo Idempotent factorizations of singular \(2 \times 2\) matrices over quadratic integer rings. (English) Zbl 07506367 Linear Multilinear Algebra 70, No. 2, 297-309 (2022). MSC: 15A23 15B33 11R04 20G30 PDF BibTeX XML Cite \textit{L. Cossu} and \textit{P. Zanardo}, Linear Multilinear Algebra 70, No. 2, 297--309 (2022; Zbl 07506367) Full Text: DOI OpenURL
Krishnamoorthy, Srilakshmi; Pasupulati, Sunil Kumar Note on the \(p\)-divisibility of class numbers of an infinite family of imaginary quadratic fields. (English) Zbl 07506046 Glasg. Math. J. 64, No. 2, 352-357 (2022). MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{S. Krishnamoorthy} and \textit{S. K. Pasupulati}, Glasg. Math. J. 64, No. 2, 352--357 (2022; Zbl 07506046) Full Text: DOI OpenURL
van Ittersum, Jan-Willem M.; Ringeling, Berend; Zudilin, Wadim Hedgehogs in Lehmer’s problem. (English) Zbl 07505696 Bull. Aust. Math. Soc. 105, No. 2, 236-242 (2022). MSC: 11R06 30E10 33C45 PDF BibTeX XML Cite \textit{J.-W. M. van Ittersum} et al., Bull. Aust. Math. Soc. 105, No. 2, 236--242 (2022; Zbl 07505696) Full Text: DOI OpenURL
Wu, Hai-Liang; She, Yue-Feng Cubes in finite fields and related permutations. (English) Zbl 07505690 Bull. Aust. Math. Soc. 105, No. 2, 188-196 (2022). MSC: 11A15 05A05 11R18 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Y.-F. She}, Bull. Aust. Math. Soc. 105, No. 2, 188--196 (2022; Zbl 07505690) Full Text: DOI OpenURL
Checcoli, S.; Fehm, A. Constructing totally \(p\)-adic numbers of small height. (English) Zbl 07505284 Int. J. Number Theory 18, No. 3, 501-514 (2022). MSC: 11G50 11S15 11R06 PDF BibTeX XML Cite \textit{S. Checcoli} and \textit{A. Fehm}, Int. J. Number Theory 18, No. 3, 501--514 (2022; Zbl 07505284) Full Text: DOI OpenURL
Park, Cheol-Min; Park, Sun Woo Minimal degrees of algebraic numbers with respect to primitive elements. (English) Zbl 07505283 Int. J. Number Theory 18, No. 3, 485-500 (2022). MSC: 11R04 11R09 14G05 14H52 PDF BibTeX XML Cite \textit{C.-M. Park} and \textit{S. W. Park}, Int. J. Number Theory 18, No. 3, 485--500 (2022; Zbl 07505283) Full Text: DOI OpenURL
Işıkay, Sevcan; Pekin, Ayten On Yokoi’s invariants and the Ankeny-Artin-Chowla conjecture. (English) Zbl 07505282 Int. J. Number Theory 18, No. 3, 473-484 (2022). MSC: 11A55 11R27 11R29 11R11 PDF BibTeX XML Cite \textit{S. Işıkay} and \textit{A. Pekin}, Int. J. Number Theory 18, No. 3, 473--484 (2022; Zbl 07505282) Full Text: DOI OpenURL
Carter, Annie; Lalín, Matilde; Manes, Michelle; Miller, Alison Beth; Mocz, Lucia Two-variable polynomials with dynamical Mahler measure zero. (English) Zbl 07504609 Res. Number Theory 8, No. 2, Paper No. 25, 22 p. (2022). MSC: 11R06 11G50 37P15 37P30 PDF BibTeX XML Cite \textit{A. Carter} et al., Res. Number Theory 8, No. 2, Paper No. 25, 22 p. (2022; Zbl 07504609) Full Text: DOI OpenURL
Ohtani, Sachiko Kummer-faithful fields which are not sub-\(p\)-adic. (English) Zbl 07504600 Res. Number Theory 8, No. 1, Paper No. 15, 7 p. (2022). MSC: 11R21 14G05 12E30 11-XX PDF BibTeX XML Cite \textit{S. Ohtani}, Res. Number Theory 8, No. 1, Paper No. 15, 7 p. (2022; Zbl 07504600) Full Text: DOI OpenURL
Bodin, Arnaud; Dèbes, Pierre; König, Joachim; Najib, Salah The Hilbert-Schinzel specialization property. (English) Zbl 07503387 J. Reine Angew. Math. 785, 55-79 (2022). MSC: 11N32 11R09 13F05 PDF BibTeX XML Cite \textit{A. Bodin} et al., J. Reine Angew. Math. 785, 55--79 (2022; Zbl 07503387) Full Text: DOI OpenURL
Chen, Miaofen; Nie, Sian Connectedness of Kisin varieties associated to absolutely irreducible Galois representations. (English) Zbl 1483.11107 J. Reine Angew. Math. 785, 31-54 (2022). MSC: 11F80 11R39 14L15 14F30 PDF BibTeX XML Cite \textit{M. Chen} and \textit{S. Nie}, J. Reine Angew. Math. 785, 31--54 (2022; Zbl 1483.11107) Full Text: DOI OpenURL
Fukshansky, Lenny; Kogan, David Cyclic and well-rounded lattices. (English) Zbl 07503366 Mosc. J. Comb. Number Theory 11, No. 1, 79-96 (2022). MSC: 11H06 11H31 11G50 11R04 PDF BibTeX XML Cite \textit{L. Fukshansky} and \textit{D. Kogan}, Mosc. J. Comb. Number Theory 11, No. 1, 79--96 (2022; Zbl 07503366) Full Text: DOI OpenURL
Chapman, Scott T.; O’Neill, Christopher; Ponomarenko, Vadim On length densities. (English) Zbl 07502647 Forum Math. 34, No. 2, 293-306 (2022). MSC: 13F15 20M14 11R27 PDF BibTeX XML Cite \textit{S. T. Chapman} et al., Forum Math. 34, No. 2, 293--306 (2022; Zbl 07502647) Full Text: DOI OpenURL
Bluher, Antonia W. Explicit Artin maps into \(\mathrm{PGL}_2\). (English) Zbl 07502050 Expo. Math. 40, No. 1, 45-93 (2022). MSC: 11R58 11T30 PDF BibTeX XML Cite \textit{A. W. Bluher}, Expo. Math. 40, No. 1, 45--93 (2022; Zbl 07502050) Full Text: DOI OpenURL
Hida, Haruzo The universal ordinary deformation ring associated to a real quadratic field. (English) Zbl 07501854 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022). MSC: 11R23 11F25 11F33 11F80 11F11 11G18 11F27 PDF BibTeX XML Cite \textit{H. Hida}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 17, 51 p. (2022; Zbl 07501854) Full Text: DOI OpenURL
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed 5-rank of ambiguous class groups of quintic Kummer extensions. (English) Zbl 07501849 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022). MSC: 11R29 11R16 11R18 11R27 PDF BibTeX XML Cite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022; Zbl 07501849) Full Text: DOI OpenURL
Jindal, Leena; Khurana, Anjana Splitting probability invariant for Cordes schemes. (English) Zbl 07501846 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 9, 9 p. (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 11R52 PDF BibTeX XML Cite \textit{L. Jindal} and \textit{A. Khurana}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 9, 9 p. (2022; Zbl 07501846) Full Text: DOI OpenURL
Gao, Peng; Zhao, Liangyi One-level density of low-lying zeros of quadratic Hecke \(L\)-functions of imaginary quadratic number fields. (English) Zbl 07501629 J. Aust. Math. Soc. 112, No. 2, 170-192 (2022). MSC: 11L40 11M06 11M20 11M26 11M50 11R16 PDF BibTeX XML Cite \textit{P. Gao} and \textit{L. Zhao}, J. Aust. Math. Soc. 112, No. 2, 170--192 (2022; Zbl 07501629) Full Text: DOI OpenURL
Hajir, Farshid; Maire, Christian Analytic Lie extensions of number fields with cyclic fixed points and tame ramification. (English) Zbl 07500313 J. Ramanujan Math. Soc. 37, No. 1, 63-85 (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11F80 11R32 11R37 22E20 PDF BibTeX XML Cite \textit{F. Hajir} and \textit{C. Maire}, J. Ramanujan Math. Soc. 37, No. 1, 63--85 (2022; Zbl 07500313) Full Text: Link OpenURL
Yu, Yih-Jeng Retraction note to: “A note on number knots and the splitting of the Hilbert class field”. (English) Zbl 1483.11249 Taiwanese J. Math. 26, No. 2, 443 (2022). MSC: 11R32 11R34 11R37 12F10 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 26, No. 2, 443 (2022; Zbl 1483.11249) Full Text: DOI OpenURL
Jones, Lenny Monogenic Pisot and anti-Pisot polynomials. (English) Zbl 1483.11240 Taiwanese J. Math. 26, No. 2, 233-250 (2022). MSC: 11R06 12F05 11R09 PDF BibTeX XML Cite \textit{L. Jones}, Taiwanese J. Math. 26, No. 2, 233--250 (2022; Zbl 1483.11240) Full Text: DOI OpenURL
Koymans, Peter; Pagano, Carlo On the distribution of \(\mathrm{Cl}(K)[l^\infty]\) for degree \(l\) cyclic fields. (English) Zbl 07499450 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1189-1283 (2022). MSC: 11N45 11R29 11R34 11R37 11R45 PDF BibTeX XML Cite \textit{P. Koymans} and \textit{C. Pagano}, J. Eur. Math. Soc. (JEMS) 24, No. 4, 1189--1283 (2022; Zbl 07499450) Full Text: DOI OpenURL
Castella, Francesc; Wang-Erickson, Carl; Hida, Haruzo Class groups and local indecomposability for non-CM forms. (English) Zbl 07499448 J. Eur. Math. Soc. (JEMS) 24, No. 4, 1103-1160 (2022). MSC: 11F80 11F33 11R23 PDF BibTeX XML Cite \textit{F. Castella} et al., J. Eur. Math. Soc. (JEMS) 24, No. 4, 1103--1160 (2022; Zbl 07499448) Full Text: DOI OpenURL
Bleher, Frauke M.; Chinburg, Ted; Greenberg, Ralph; Kakde, Mahesh; Sharifi, Romyar; Taylor, Martin J. Exterior powers in Iwasawa theory. (English) Zbl 07499445 J. Eur. Math. Soc. (JEMS) 24, No. 3, 967-1005 (2022). MSC: 11R23 11R34 PDF BibTeX XML Cite \textit{F. M. Bleher} et al., J. Eur. Math. Soc. (JEMS) 24, No. 3, 967--1005 (2022; Zbl 07499445) Full Text: DOI OpenURL
Loeffler, David; Skinner, Christopher; Zerbes, Sarah Livia Euler systems for \(\mathrm{GSp}(4)\). (English) Zbl 07499439 J. Eur. Math. Soc. (JEMS) 24, No. 2, 669-733 (2022). MSC: 11F46 11F67 11F80 11R23 PDF BibTeX XML Cite \textit{D. Loeffler} et al., J. Eur. Math. Soc. (JEMS) 24, No. 2, 669--733 (2022; Zbl 07499439) Full Text: DOI OpenURL
Baluyot, Siegfred; Pratt, Kyle Dirichlet \(L\)-functions of quadratic characters of prime conductor at the central point. (English) Zbl 07499434 J. Eur. Math. Soc. (JEMS) 24, No. 2, 369-460 (2022). MSC: 11M20 11N36 11R42 PDF BibTeX XML Cite \textit{S. Baluyot} and \textit{K. Pratt}, J. Eur. Math. Soc. (JEMS) 24, No. 2, 369--460 (2022; Zbl 07499434) Full Text: DOI OpenURL
Harata, Pipat; Srivilai, Prathan Average electron number in two-island system. (English) Zbl 07499422 Phys. Lett., A 435, Article ID 128061, 7 p. (2022). MSC: 81T08 81P73 81V10 11R45 82D35 82M31 81U26 PDF BibTeX XML Cite \textit{P. Harata} and \textit{P. Srivilai}, Phys. Lett., A 435, Article ID 128061, 7 p. (2022; Zbl 07499422) Full Text: DOI OpenURL
Bród, D.; Szynal-Liana, A. On a new generalization of Jacobsthal hybrid numbers. (English) Zbl 07498890 Azerb. J. Math. 12, No. 1, 20-31 (2022). MSC: 11R52 11B37 PDF BibTeX XML Cite \textit{D. Bród} and \textit{A. Szynal-Liana}, Azerb. J. Math. 12, No. 1, 20--31 (2022; Zbl 07498890) Full Text: Link OpenURL
Ding, Zhiguo; Zieve, Michael E. Low-degree permutation rational functions over finite fields. (English) Zbl 07496910 Acta Arith. 202, No. 3, 253-280 (2022). MSC: 11T06 11R32 PDF BibTeX XML Cite \textit{Z. Ding} and \textit{M. E. Zieve}, Acta Arith. 202, No. 3, 253--280 (2022; Zbl 07496910) Full Text: DOI OpenURL
Ray, Jishnu On the growth of \(\mu \)-invariant in Iwasawa theory of supersingular elliptic curves. (English) Zbl 07496909 Acta Arith. 202, No. 3, 241-251 (2022). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{J. Ray}, Acta Arith. 202, No. 3, 241--251 (2022; Zbl 07496909) Full Text: DOI OpenURL
Piccolo, Margherita On the \(16\)-rank of class groups of \(\mathbb{Q}(\sqrt{-3p})\) for primes \(p\) congruent to \(1\) modulo \(4\). (English) Zbl 07496893 Acta Arith. 202, No. 1, 1-20 (2022). Reviewer: Claude Levesque (Québec) MSC: 11N45 11R29 11R44 11N36 PDF BibTeX XML Cite \textit{M. Piccolo}, Acta Arith. 202, No. 1, 1--20 (2022; Zbl 07496893) Full Text: DOI OpenURL
Shi, Shuhui Vanishing of multizeta values over \(\mathbb{F}_q [t]\) at negative integers. (English) Zbl 07496473 Can. Math. Bull. 65, No. 1, 9-29 (2022). MSC: 11M32 11M38 11R58 PDF BibTeX XML Cite \textit{S. Shi}, Can. Math. Bull. 65, No. 1, 9--29 (2022; Zbl 07496473) Full Text: DOI OpenURL
Wang, Chao; Li, Zhien; Agarwal, Ravi P. Hyers-Ulam-Rassias stability of high-dimensional quaternion impulsive fuzzy dynamic equations on time scales. (English) Zbl 1482.34010 Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 359-386 (2022). MSC: 34A07 34N05 11R52 PDF BibTeX XML Cite \textit{C. Wang} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 2, 359--386 (2022; Zbl 1482.34010) Full Text: DOI OpenURL
Zaïmi, Toufik On Salem half-norms. (English) Zbl 07495688 Quaest. Math. 45, No. 1, 91-99 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11R06 11R09 11R80 12D10 PDF BibTeX XML Cite \textit{T. Zaïmi}, Quaest. Math. 45, No. 1, 91--99 (2022; Zbl 07495688) Full Text: DOI OpenURL
Fakhruddin, Najmuddin; Khare, Chandrashekhar; Patrikis, Stefan Lifting and automorphy of reducible mod \(p\) Galois representations over global fields. (English) Zbl 07495377 Invent. Math. 228, No. 1, 415-492 (2022). MSC: 11F80 11F70 11R39 11F33 22E50 PDF BibTeX XML Cite \textit{N. Fakhruddin} et al., Invent. Math. 228, No. 1, 415--492 (2022; Zbl 07495377) Full Text: DOI OpenURL
Balister, Paul; Bollobás, Béla; Morris, Robert; Sahasrabudhe, Julian; Tiba, Marius On the Erdős covering problem: the density of the uncovered set. (English) Zbl 07495376 Invent. Math. 228, No. 1, 377-414 (2022). MSC: 11B25 11A07 11N05 11R09 05B40 PDF BibTeX XML Cite \textit{P. Balister} et al., Invent. Math. 228, No. 1, 377--414 (2022; Zbl 07495376) Full Text: DOI OpenURL
Liu, Yifeng; Tian, Yichao; Xiao, Liang; Zhang, Wei; Zhu, Xinwen On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives. (English) Zbl 07495375 Invent. Math. 228, No. 1, 107-375 (2022). MSC: 11G05 11G18 11G40 11R34 PDF BibTeX XML Cite \textit{Y. Liu} et al., Invent. Math. 228, No. 1, 107--375 (2022; Zbl 07495375) Full Text: DOI OpenURL
Dubickas, Artūras A game with two players choosing the coefficients of a polynomial. (English) Zbl 07493941 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 793-805 (2022). MSC: 11C08 11R09 11S05 91A46 PDF BibTeX XML Cite \textit{A. Dubickas}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 793--805 (2022; Zbl 07493941) Full Text: DOI OpenURL
Waldschmidt, Michel On a paper by Nikolaev. (English) Zbl 1482.11097 Ramanujan J. 57, No. 4, 1517-1518 (2022). MSC: 11J81 11R37 PDF BibTeX XML Cite \textit{M. Waldschmidt}, Ramanujan J. 57, No. 4, 1517--1518 (2022; Zbl 1482.11097) Full Text: DOI OpenURL
Doyle, John R.; Fili, Paul; Hyde, Trevor Dynatomic polynomials, necklace operators, and universal relations for dynamical units. (English) Zbl 07493774 New York J. Math. 28, 534-556 (2022). MSC: 37P05 11R27 37P35 PDF BibTeX XML Cite \textit{J. R. Doyle} et al., New York J. Math. 28, 534--556 (2022; Zbl 07493774) Full Text: arXiv Link OpenURL
Fujii, Satoshi On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules. (English) Zbl 07493773 New York J. Math. 28, 523-533 (2022). Reviewer: Wei Feng (Beijing) MSC: 11R23 PDF BibTeX XML Cite \textit{S. Fujii}, New York J. Math. 28, 523--533 (2022; Zbl 07493773) Full Text: arXiv Link OpenURL
Gaál, István; Pohst, Michael E. On calculating the number \(N(D)\) of global cubic fields \(F\) of given discriminant \(D\). (English) Zbl 07493035 J. Number Theory 236, 479-491 (2022). MSC: 11Y40 11R11 11R16 11R29 11R58 PDF BibTeX XML Cite \textit{I. Gaál} and \textit{M. E. Pohst}, J. Number Theory 236, 479--491 (2022; Zbl 07493035) Full Text: DOI OpenURL
Pritsker, Igor E. House of algebraic integers symmetric about the unit circle. (English) Zbl 07493031 J. Number Theory 236, 388-403 (2022). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 12D10 30C15 PDF BibTeX XML Cite \textit{I. E. Pritsker}, J. Number Theory 236, 388--403 (2022; Zbl 07493031) Full Text: DOI arXiv OpenURL
Li, Yan-Bin; Skoruppa, Nils-Peter; Zhou, Haigang Eichler orders and Jacobi forms of squarefree level. (English) Zbl 07493030 J. Number Theory 236, 349-387 (2022). MSC: 11F50 11R52 PDF BibTeX XML Cite \textit{Y.-B. Li} et al., J. Number Theory 236, 349--387 (2022; Zbl 07493030) Full Text: DOI OpenURL
Hatley, Jeffrey; Lei, Antonio; Vigni, Stefano \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves. (English) Zbl 07489549 Manuscr. Math. 167, No. 3-4, 589-612 (2022). MSC: 11R23 11G05 11R20 PDF BibTeX XML Cite \textit{J. Hatley} et al., Manuscr. Math. 167, No. 3--4, 589--612 (2022; Zbl 07489549) Full Text: DOI arXiv OpenURL
He, Qiao; Ye, Dongxi On conjectures of Samart. (English) Zbl 07489548 Manuscr. Math. 167, No. 3-4, 545-588 (2022). MSC: 11F67 11R06 33C20 PDF BibTeX XML Cite \textit{Q. He} and \textit{D. Ye}, Manuscr. Math. 167, No. 3--4, 545--588 (2022; Zbl 07489548) Full Text: DOI OpenURL
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 07488674 Commun. Algebra 50, No. 4, 1446-1458 (2022). Reviewer: Isabelle Dubois (Metz) MSC: 11R33 PDF BibTeX XML Cite \textit{K. Mazhouda} et al., Commun. Algebra 50, No. 4, 1446--1458 (2022; Zbl 07488674) Full Text: DOI OpenURL
Lei, Antonio; Lim, Meng Fai Mordell-Weil ranks and Tate-Shafarevich groups of elliptic curves with mixed-reduction type over cyclotomic extensions. (English) Zbl 07488466 Int. J. Number Theory 18, No. 2, 303-330 (2022). MSC: 11R23 11F11 11R20 PDF BibTeX XML Cite \textit{A. Lei} and \textit{M. F. Lim}, Int. J. Number Theory 18, No. 2, 303--330 (2022; Zbl 07488466) Full Text: DOI arXiv OpenURL
Jakhar, Anuj; Kotyada, Srinivas On the degrees of irreducible factors of a polynomial. (English) Zbl 07487886 Proc. Am. Math. Soc. 150, No. 5, 1949-1953 (2022). MSC: 12E05 11R09 12J10 PDF BibTeX XML Cite \textit{A. Jakhar} and \textit{S. Kotyada}, Proc. Am. Math. Soc. 150, No. 5, 1949--1953 (2022; Zbl 07487886) Full Text: DOI OpenURL
Hirakawa, Yoshinosuke; Shimizu, Yosuke Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture. (English) Zbl 07487877 Proc. Am. Math. Soc. 150, No. 5, 1821-1835 (2022). MSC: 11D41 11D57 11E76 11N32 11R16 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{Y. Shimizu}, Proc. Am. Math. Soc. 150, No. 5, 1821--1835 (2022; Zbl 07487877) Full Text: DOI arXiv OpenURL
Koymans, Peter; Pagano, Carlo Higher genus theory. (English) Zbl 1483.11247 Int. Math. Res. Not. 2022, No. 4, 2772-2823 (2022). MSC: 11R29 11R11 11R20 PDF BibTeX XML Cite \textit{P. Koymans} and \textit{C. Pagano}, Int. Math. Res. Not. 2022, No. 4, 2772--2823 (2022; Zbl 1483.11247) Full Text: DOI arXiv OpenURL
Chipchakov, Ivan D. Fields of dimension one algebraic over a global or local field need not be of type \(C_1\). (English) Zbl 07485558 J. Number Theory 235, 484-501 (2022). Reviewer: Mouad Moutaoukil (Fès) MSC: 11E76 11R34 12J10 11D72 11S15 PDF BibTeX XML Cite \textit{I. D. Chipchakov}, J. Number Theory 235, 484--501 (2022; Zbl 07485558) Full Text: DOI arXiv OpenURL
Ichino, Atsushi Theta lifting for tempered representations of real unitary groups. (English) Zbl 07483897 Adv. Math. 398, Article ID 108188, 70 p. (2022). MSC: 22Exx 11Fxx 11Rxx PDF BibTeX XML Cite \textit{A. Ichino}, Adv. Math. 398, Article ID 108188, 70 p. (2022; Zbl 07483897) Full Text: DOI arXiv OpenURL
Blanco-Chacón, Iván On the RLWE/PLWE equivalence for cyclotomic number fields. (English) Zbl 1481.11070 Appl. Algebra Eng. Commun. Comput. 33, No. 1, 53-71 (2022). MSC: 11H71 11R18 94A60 PDF BibTeX XML Cite \textit{I. Blanco-Chacón}, Appl. Algebra Eng. Commun. Comput. 33, No. 1, 53--71 (2022; Zbl 1481.11070) Full Text: DOI arXiv OpenURL
Miller, Russell; Shlapentokh, Alexandra On existential definitions of c.e. subsets of rings of functions of characteristic 0. (English) Zbl 07483257 Ann. Pure Appl. Logic 173, No. 4, Article ID 103076, 50 p. (2022). MSC: 11U09 11U05 03B25 03C07 11R58 13A18 PDF BibTeX XML Cite \textit{R. Miller} and \textit{A. Shlapentokh}, Ann. Pure Appl. Logic 173, No. 4, Article ID 103076, 50 p. (2022; Zbl 07483257) Full Text: DOI arXiv OpenURL