Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss On the Hilbert \(2\)-class field tower of some imaginary biquadratic number fields. (English) Zbl 07332716 Czech. Math. J. 71, No. 1, 269-281 (2021). MSC: 11R11 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Czech. Math. J. 71, No. 1, 269--281 (2021; Zbl 07332716) Full Text: DOI
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader On the \(2\)-class group of some number fields with large degree. (English) Zbl 07332701 Arch. Math., Brno 57, No. 1, 13-26 (2021). MSC: 11R29 11R11 11R23 11R32 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Arch. Math., Brno 57, No. 1, 13--26 (2021; Zbl 07332701) Full Text: DOI
Lai, King Fai; Tan, Ki-Seng A generalized Iwasawa’s theorem and its application. (English) Zbl 07332639 Res. Math. Sci. 8, No. 2, Paper No. 20, 18 p. (2021). MSC: 11R29 11R23 12G05 11R65 PDF BibTeX XML Cite \textit{K. F. Lai} and \textit{K.-S. Tan}, Res. Math. Sci. 8, No. 2, Paper No. 20, 18 p. (2021; Zbl 07332639) Full Text: DOI
Daniels, Harris B. Corrigendum to: “Torsion subgroups of rational elliptic curves over the compositum of all \(D_4\) extensions of the rational numbers”. (English) Zbl 07332047 J. Algebra 575, 274-284 (2021). MSC: 11G05 11R21 12F10 14H52 PDF BibTeX XML Cite \textit{H. B. Daniels}, J. Algebra 575, 274--284 (2021; Zbl 07332047) Full Text: DOI
Delbourgo, Daniel; Gilmore, Hamish Computing \(\mathcal L\)-invariants for the symmetric square of an elliptic curve. (English) Zbl 07331271 Exp. Math. 30, No. 1, 32-55 (2021). MSC: 11R23 11E95 11G40 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{H. Gilmore}, Exp. Math. 30, No. 1, 32--55 (2021; Zbl 07331271) Full Text: DOI
Du, Tuoping Weak Siegel-Weil formula for \(\mathbb{M}_2(\mathbb{Q})\) and arithmetic on quaternions. (English) Zbl 07331125 Trans. Am. Math. Soc. 374, No. 5, 3397-3426 (2021). MSC: 11R52 11G18 11F32 11F41 11S23 PDF BibTeX XML Cite \textit{T. Du}, Trans. Am. Math. Soc. 374, No. 5, 3397--3426 (2021; Zbl 07331125) Full Text: DOI
Gazda, Quentin; Maurischat, Andreas Special functions and Gauss-Thakur sums in higher rank and dimension. (English) Zbl 07330976 J. Reine Angew. Math. 773, 231-261 (2021). MSC: 11G09 11R58 11F52 11J93 PDF BibTeX XML Cite \textit{Q. Gazda} and \textit{A. Maurischat}, J. Reine Angew. Math. 773, 231--261 (2021; Zbl 07330976) Full Text: DOI
Wang, Jiuya Pointwise bound for \(\ell \)-torsion in class groups: elementary abelian extensions. (English) Zbl 07330972 J. Reine Angew. Math. 773, 129-151 (2021). MSC: 11R29 11G05 11R45 11R32 PDF BibTeX XML Cite \textit{J. Wang}, J. Reine Angew. Math. 773, 129--151 (2021; Zbl 07330972) Full Text: DOI
Dixit, Anup B.; Mahatab, Kamalakshya Large values of \(L\)-functions on the 1-line. (English) Zbl 07330712 Bull. Aust. Math. Soc. 103, No. 2, 230-243 (2021). MSC: 11M41 11R42 PDF BibTeX XML Cite \textit{A. B. Dixit} and \textit{K. Mahatab}, Bull. Aust. Math. Soc. 103, No. 2, 230--243 (2021; Zbl 07330712) Full Text: DOI
Das, Shamik; Saikia, Anupam On \(\theta\)-congruent numbers over real number fields. (English) Zbl 07330711 Bull. Aust. Math. Soc. 103, No. 2, 218-229 (2021). MSC: 11G05 11R21 11R16 PDF BibTeX XML Cite \textit{S. Das} and \textit{A. Saikia}, Bull. Aust. Math. Soc. 103, No. 2, 218--229 (2021; Zbl 07330711) Full Text: DOI
Kleine, Sören On local and global bounds for Iwasawa \(\lambda\)-invariants. (English) Zbl 07329229 J. Number Theory 223, 195-228 (2021). MSC: 11R23 11R37 PDF BibTeX XML Cite \textit{S. Kleine}, J. Number Theory 223, 195--228 (2021; Zbl 07329229) Full Text: DOI
Sgobba, Pietro On the distribution of the order and index for the reductions of algebraic numbers. (English) Zbl 07329226 J. Number Theory 223, 132-152 (2021). MSC: 11R44 11R45 11R18 11R21 PDF BibTeX XML Cite \textit{P. Sgobba}, J. Number Theory 223, 132--152 (2021; Zbl 07329226) Full Text: DOI
Klüners, Jürgen; Komatsu, Toru Imaginary multiquadratic number fields with class group of exponent \(3\) and \(5\). (English) Zbl 07328929 Math. Comput. 90, No. 329, 1483-1497 (2021). MSC: 11R29 11R11 11R20 11Y40 PDF BibTeX XML Cite \textit{J. Klüners} and \textit{T. Komatsu}, Math. Comput. 90, No. 329, 1483--1497 (2021; Zbl 07328929) Full Text: DOI
Yakir, Oren Fluctuations of linear statistics for Gaussian perturbations of the lattice \(\mathbb{Z}^d\). (English) Zbl 07328617 J. Stat. Phys. 182, No. 3, Paper No. 58, 22 p. (2021). MSC: 60G55 60E07 60B15 11F85 43A25 11R56 PDF BibTeX XML Cite \textit{O. Yakir}, J. Stat. Phys. 182, No. 3, Paper No. 58, 22 p. (2021; Zbl 07328617) Full Text: DOI
Demangos, L.; Gendron, T. M. Quantum modular invariant and Hilbert class fields of real quadratic global function fields. (English) Zbl 07327161 Sel. Math., New Ser. 27, No. 1, Paper No. 13, 25 p. (2021). MSC: 11R37 11R80 11R58 11F03 11K60 PDF BibTeX XML Cite \textit{L. Demangos} and \textit{T. M. Gendron}, Sel. Math., New Ser. 27, No. 1, Paper No. 13, 25 p. (2021; Zbl 07327161) Full Text: DOI
Gu, Jarry; Lalín, Matilde The Mahler measure of a three-variable family and an application to the Boyd-Lawton formula. (English) Zbl 07326372 Res. Number Theory 7, No. 1, Paper No. 13, 23 p. (2021). MSC: 11R06 11M06 11R42 PDF BibTeX XML Cite \textit{J. Gu} and \textit{M. Lalín}, Res. Number Theory 7, No. 1, Paper No. 13, 23 p. (2021; Zbl 07326372) Full Text: DOI
Krasnov, Kirill So(9) characterization of the standard model gauge group. (English) Zbl 07326354 J. Math. Phys. 62, No. 2, 021703, 16 p. (2021). MSC: 81V22 81T13 17C50 17C60 11R52 81R25 PDF BibTeX XML Cite \textit{K. Krasnov}, J. Math. Phys. 62, No. 2, 021703, 16 p. (2021; Zbl 07326354) Full Text: DOI
Chari, Sara; Smertnig, Daniel; Voight, John On basic and bass quaternion orders. (English) Zbl 07326208 Proc. Am. Math. Soc., Ser. B 8, 11-26 (2021). MSC: 16H10 11R52 16S37 PDF BibTeX XML Cite \textit{S. Chari} et al., Proc. Am. Math. Soc., Ser. B 8, 11--26 (2021; Zbl 07326208) Full Text: DOI
Andrade, J. C.; Macmillan, J. The first moment of \(L\bigl(\frac{1}{2},\chi\bigr)\) for real quadratic function fields. (English) Zbl 07324325 Acta Arith. 198, No. 1, 1-35 (2021). MSC: 11R59 11M38 11M06 11G20 PDF BibTeX XML Cite \textit{J. C. Andrade} and \textit{J. Macmillan}, Acta Arith. 198, No. 1, 1--35 (2021; Zbl 07324325) Full Text: DOI
Ahmed, Suman; Lim, Meng Fai On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above \(p\). (English) Zbl 07324322 Acta Arith. 197, No. 4, 353-377 (2021). MSC: 11R23 11G05 11S25 PDF BibTeX XML Cite \textit{S. Ahmed} and \textit{M. F. Lim}, Acta Arith. 197, No. 4, 353--377 (2021; Zbl 07324322) Full Text: DOI
Levin, Aaron; Yan, Shengkuan; Wiljanen, Luke Quadratic fields with a class group of large 3-rank. (English) Zbl 07324318 Acta Arith. 197, No. 3, 275-292 (2021). MSC: 11R29 11G30 14H40 PDF BibTeX XML Cite \textit{A. Levin} et al., Acta Arith. 197, No. 3, 275--292 (2021; Zbl 07324318) Full Text: DOI
Jones, Lenny Some new infinite families of monogenic polynomials with non-squarefree discriminant. (English) Zbl 07324314 Acta Arith. 197, No. 2, 213-219 (2021). Reviewer: István Gaál (Debrecen) MSC: 11R04 11R09 12F05 PDF BibTeX XML Cite \textit{L. Jones}, Acta Arith. 197, No. 2, 213--219 (2021; Zbl 07324314) Full Text: DOI
Hiranouchi, Toshiro Galois symbol maps for abelian varieties over a \(p\)-adic field. (English) Zbl 07324311 Acta Arith. 197, No. 2, 137-157 (2021). MSC: 11R37 11G 14K15 PDF BibTeX XML Cite \textit{T. Hiranouchi}, Acta Arith. 197, No. 2, 137--157 (2021; Zbl 07324311) Full Text: DOI
Chattopadhyay, Jaitra; Muthukrishnan, Subramani On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields. (English) Zbl 07324308 Acta Arith. 197, No. 1, 105-110 (2021). MSC: 11R11 11R29 PDF BibTeX XML Cite \textit{J. Chattopadhyay} and \textit{S. Muthukrishnan}, Acta Arith. 197, No. 1, 105--110 (2021; Zbl 07324308) Full Text: DOI
Babei, Angelica; Chari, Sara Metacommutation of primes in Eichler orders. (English) Zbl 07324306 Acta Arith. 197, No. 1, 77-92 (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 11S45 11R52 PDF BibTeX XML Cite \textit{A. Babei} and \textit{S. Chari}, Acta Arith. 197, No. 1, 77--92 (2021; Zbl 07324306) Full Text: DOI
Bartoli, Daniele; Montanucci, Maria; Zini, Giovanni Weierstrass semigroups at every point of the Suzuki curve. (English) Zbl 07324302 Acta Arith. 197, No. 1, 1-20 (2021). MSC: 14H55 11G20 11R58 14H05 PDF BibTeX XML Cite \textit{D. Bartoli} et al., Acta Arith. 197, No. 1, 1--20 (2021; Zbl 07324302) Full Text: DOI
Zhang, Xiaoyu Selmer groups of symmetric powers of ordinary modular Galois representations. (English) Zbl 07324249 Am. J. Math. 143, No. 1, 125-173 (2021). MSC: 11F80 11R23 11F33 PDF BibTeX XML Cite \textit{X. Zhang}, Am. J. Math. 143, No. 1, 125--173 (2021; Zbl 07324249) Full Text: DOI
Grosu, Codruţ; Grosu, Corina The irreducibility of some Wronskian Hermite polynomials. (English) Zbl 07322771 Indag. Math., New Ser. 32, No. 2, 456-497 (2021). MSC: 11R09 26C05 PDF BibTeX XML Cite \textit{C. Grosu} and \textit{C. Grosu}, Indag. Math., New Ser. 32, No. 2, 456--497 (2021; Zbl 07322771) Full Text: DOI
Darmon, Henri; Vonk, Jan Singular moduli for real quadratic fields: a rigid analytic approach. (English) Zbl 07322634 Duke Math. J. 170, No. 1, 23-93 (2021). MSC: 11R37 11G15 PDF BibTeX XML Cite \textit{H. Darmon} and \textit{J. Vonk}, Duke Math. J. 170, No. 1, 23--93 (2021; Zbl 07322634) Full Text: DOI Euclid
Longo, Matteo; Vigni, Stefano On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations. (English) Zbl 07319066 New York J. Math. 27, 437-467 (2021). MSC: 11R23 11F80 PDF BibTeX XML Cite \textit{M. Longo} and \textit{S. Vigni}, New York J. Math. 27, 437--467 (2021; Zbl 07319066) Full Text: Link
Grimm, David; Leep, David B. Hereditarily non-Pythagorean fields. (English) Zbl 07318824 J. Algebra 574, 434-452 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 12D15 11E25 11R04 12F05 12F15 PDF BibTeX XML Cite \textit{D. Grimm} and \textit{D. B. Leep}, J. Algebra 574, 434--452 (2021; Zbl 07318824) Full Text: DOI
Kleine, Sören Generalised Iwasawa invariants and the growth of class numbers. (English) Zbl 07318794 Forum Math. 33, No. 1, 109-127 (2021). MSC: 11R23 13C05 PDF BibTeX XML Cite \textit{S. Kleine}, Forum Math. 33, No. 1, 109--127 (2021; Zbl 07318794) Full Text: DOI
Banerjee, Pradipto; Bera, Ranjan Corrigendum to: “On a generalization of a conjecture of Grosswald”. (English) Zbl 07318746 J. Number Theory 222, 426-428 (2021). MSC: 11R32 33C45 PDF BibTeX XML Cite \textit{P. Banerjee} and \textit{R. Bera}, J. Number Theory 222, 426--428 (2021; Zbl 07318746) Full Text: DOI
Kundu, Debanjana An analogue of Kida’s formula for fine Selmer groups of elliptic curves. (English) Zbl 07318737 J. Number Theory 222, 249-261 (2021). MSC: 11R23 PDF BibTeX XML Cite \textit{D. Kundu}, J. Number Theory 222, 249--261 (2021; Zbl 07318737) Full Text: DOI
Kim, Henry H. Minimal generators of the ideal class group. (English) Zbl 07318732 J. Number Theory 222, 157-167 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R29 11R42 11M41 PDF BibTeX XML Cite \textit{H. H. Kim}, J. Number Theory 222, 157--167 (2021; Zbl 07318732) Full Text: DOI
Yazdi, Mehdi Lower bound for the Perron-Frobenius degrees of Perron numbers. (English) Zbl 07317329 Ergodic Theory Dyn. Syst. 41, No. 4, 1264-1280 (2021). MSC: 37B10 37B40 15B48 11R06 PDF BibTeX XML Cite \textit{M. Yazdi}, Ergodic Theory Dyn. Syst. 41, No. 4, 1264--1280 (2021; Zbl 07317329) Full Text: DOI
Wang, Jiuya Malle’s conjecture for \(S_n\times A\) for \(n=3,4,5\). (English) Zbl 07317312 Compos. Math. 157, No. 1, 83-121 (2021). MSC: 11R29 11R45 PDF BibTeX XML Cite \textit{J. Wang}, Compos. Math. 157, No. 1, 83--121 (2021; Zbl 07317312) Full Text: DOI
Stasinski, Alexander A uniform proof of the finiteness of the class group of a global field. (English) Zbl 07315401 Am. Math. Mon. 128, No. 3, 239-249 (2021). MSC: 11R42 13E15 13A15 11R29 13F10 13F05 PDF BibTeX XML Cite \textit{A. Stasinski}, Am. Math. Mon. 128, No. 3, 239--249 (2021; Zbl 07315401) Full Text: DOI
Xue, Jiang Wei; Yu, Chia Fu On counting certain abelian varieties over finite fields. (English) Zbl 07314984 Acta Math. Sin., Engl. Ser. 37, No. 1, 205-228 (2021). MSC: 11R52 11R58 PDF BibTeX XML Cite \textit{J. W. Xue} and \textit{C. F. Yu}, Acta Math. Sin., Engl. Ser. 37, No. 1, 205--228 (2021; Zbl 07314984) Full Text: DOI
Wang, Shan Wen Le système d’Euler de Kato en famillie (II). (English) Zbl 07314983 Acta Math. Sin., Engl. Ser. 37, No. 1, 173-204 (2021). MSC: 11F85 11F67 11G40 11R33 11S80 14G10 14G35 PDF BibTeX XML Cite \textit{S. W. Wang}, Acta Math. Sin., Engl. Ser. 37, No. 1, 173--204 (2021; Zbl 07314983) Full Text: DOI
Wan, Xin Heegner point Kolyvagin system and Iwasawa main conjecture. (English) Zbl 07314980 Acta Math. Sin., Engl. Ser. 37, No. 1, 104-120 (2021). MSC: 11R23 PDF BibTeX XML Cite \textit{X. Wan}, Acta Math. Sin., Engl. Ser. 37, No. 1, 104--120 (2021; Zbl 07314980) Full Text: DOI
Büyükboduk, Kazim; Lei, Antonio; Venkat, Guhan Iwasawa theory for symmetric squares of non-\(p\)-ordinary eigenforms. (English) Zbl 07313297 Doc. Math. 26, 1-63 (2021). MSC: 11R23 11F11 11R20 PDF BibTeX XML Cite \textit{K. Büyükboduk} et al., Doc. Math. 26, 1--63 (2021; Zbl 07313297) Full Text: DOI
Tsang, Cindy; Xiao, Stanley Yao The number of quartic \(D_4\)-fields with monogenic cubic resolvent ordered by conductor. (English) Zbl 07313203 Trans. Am. Math. Soc. 374, No. 3, 1987-2033 (2021). MSC: 11R16 11E76 11G05 11N45 11R04 11R45 PDF BibTeX XML Cite \textit{C. Tsang} and \textit{S. Y. Xiao}, Trans. Am. Math. Soc. 374, No. 3, 1987--2033 (2021; Zbl 07313203) Full Text: DOI
Lukina, Olga Galois groups and Cantor actions. (English) Zbl 07313191 Trans. Am. Math. Soc. 374, No. 3, 1579-1621 (2021). MSC: 37B02 37B05 37P05 37C85 20E08 12F10 22A22 20E18 11R09 11R32 PDF BibTeX XML Cite \textit{O. Lukina}, Trans. Am. Math. Soc. 374, No. 3, 1579--1621 (2021; Zbl 07313191) Full Text: DOI
Czogała, Alfred; Koprowski, Przemysław Even points on an algebraic curve. (English) Zbl 07313150 Finite Fields Appl. 70, Article ID 101792, 16 p. (2021). MSC: 11G20 11R65 11R45 14C22 05C40 PDF BibTeX XML Cite \textit{A. Czogała} and \textit{P. Koprowski}, Finite Fields Appl. 70, Article ID 101792, 16 p. (2021; Zbl 07313150) Full Text: DOI
Wu, Hai-Liang; She, Yue-Feng Jacobsthal sums and permutations of biquadratic residues. (English) Zbl 07313147 Finite Fields Appl. 70, Article ID 101789, 19 p. (2021). MSC: 11A15 05A05 11R18 PDF BibTeX XML Cite \textit{H.-L. Wu} and \textit{Y.-F. She}, Finite Fields Appl. 70, Article ID 101789, 19 p. (2021; Zbl 07313147) Full Text: DOI
Gutierrez, Jaime; Jiménez Urroz, Jorge On some classes of irreducible polynomials. (English) Zbl 07312664 J. Symb. Comput. 105, 64-70 (2021). MSC: 11R09 12E10 PDF BibTeX XML Cite \textit{J. Gutierrez} and \textit{J. Jiménez Urroz}, J. Symb. Comput. 105, 64--70 (2021; Zbl 07312664) Full Text: DOI
Zheng, Tao A fast algorithm for computing multiplicative relations between the roots of a generic polynomial. (English) Zbl 07312487 J. Symb. Comput. 104, 381-401 (2021). MSC: 12F 12E 11R PDF BibTeX XML Cite \textit{T. Zheng}, J. Symb. Comput. 104, 381--401 (2021; Zbl 07312487) Full Text: DOI
Chattopadhyay, Arkadev; Grenet, Bruno; Koiran, Pascal; Portier, Natacha; Strozecki, Yann Computing the multilinear factors of lacunary polynomials without heights. (English) Zbl 07312477 J. Symb. Comput. 104, 183-206 (2021). MSC: 68W30 11Y16 68Q25 11R09 PDF BibTeX XML Cite \textit{A. Chattopadhyay} et al., J. Symb. Comput. 104, 183--206 (2021; Zbl 07312477) Full Text: DOI
Vaskouski, Maksim; Kondratyonok, Nikita The Kronecker-Vahlen theorem fails in real quadratic norm-Euclidean fields. (English) Zbl 07312473 J. Symb. Comput. 104, 134-141 (2021). MSC: 11R11 11Y16 11Y40 11A05 PDF BibTeX XML Cite \textit{M. Vaskouski} and \textit{N. Kondratyonok}, J. Symb. Comput. 104, 134--141 (2021; Zbl 07312473) Full Text: DOI
Chen, Zhangchi On nonsingularity of circulant matrices. (English) Zbl 07312061 Linear Algebra Appl. 612, 162-176 (2021). MSC: 15B05 11R18 68P30 94A05 PDF BibTeX XML Cite \textit{Z. Chen}, Linear Algebra Appl. 612, 162--176 (2021; Zbl 07312061) Full Text: DOI
Ahmad, Sk. Safique; Ali, Istkhar; Slapničar, Ivan Perturbation analysis of matrices over a quaternion division algebra. (English) Zbl 07311977 ETNA, Electron. Trans. Numer. Anal. 54, 128-149 (2021). MSC: 15A18 15A66 15B33 15A45 47A55 11R52 PDF BibTeX XML Cite \textit{Sk. S. Ahmad} et al., ETNA, Electron. Trans. Numer. Anal. 54, 128--149 (2021; Zbl 07311977) Full Text: DOI Link
Andrade, Julio Cesar; Yiasemides, Michael The fourth power mean of Dirichlet \(L\)-functions in \(\mathbb{F}_q [T]\). (English) Zbl 1454.11210 Rev. Mat. Complut. 34, No. 1, 239-296 (2021). MSC: 11R59 11M06 11M38 11M50 11N36 PDF BibTeX XML Cite \textit{J. C. Andrade} and \textit{M. Yiasemides}, Rev. Mat. Complut. 34, No. 1, 239--296 (2021; Zbl 1454.11210) Full Text: DOI
Wu, Xiaoliang; Liu, Hang; Tang, Guoping Identities of Mahler measures of certain polynomials defining curves of arbitrary genus. (English) Zbl 07310645 J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021). MSC: 11R06 11R09 19F27 PDF BibTeX XML Cite \textit{X. Wu} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124602, 12 p. (2021; Zbl 07310645) Full Text: DOI
Maarefparvar, Abbas Pre-Pólya group in even dihedral extensions of \(\mathbb{Q}\). (English) Zbl 07308676 Int. J. Math. 32, No. 1, Article ID 2150001, 8 p. (2021). MSC: 11R16 11R21 11R34 11R37 PDF BibTeX XML Cite \textit{A. Maarefparvar}, Int. J. Math. 32, No. 1, Article ID 2150001, 8 p. (2021; Zbl 07308676) Full Text: DOI
Banerjee, Soumyarup Piltz divisor problem over number fields à la Voronoï. (English) Zbl 07308525 Proc. Am. Math. Soc. 149, No. 3, 1025-1038 (2021). MSC: 11R42 11R11 11S40 33C60 PDF BibTeX XML Cite \textit{S. Banerjee}, Proc. Am. Math. Soc. 149, No. 3, 1025--1038 (2021; Zbl 07308525) Full Text: DOI
Cho, Peter J.; Kim, Henry H. The smallest prime in a conjugacy class and the first sign change for automorphic \(L\)-functions. (English) Zbl 07308518 Proc. Am. Math. Soc. 149, No. 3, 923-933 (2021). MSC: 11N05 11R44 11R42 PDF BibTeX XML Cite \textit{P. J. Cho} and \textit{H. H. Kim}, Proc. Am. Math. Soc. 149, No. 3, 923--933 (2021; Zbl 07308518) Full Text: DOI
Zhao, Xiaopeng; Cao, Zhenfu; Dong, Xiaolei; Shao, Jun Extended Galbraith’s test on the anonymity of IBE schemes from higher residuosity. (English) Zbl 07308509 Des. Codes Cryptography 89, No. 2, 241-253 (2021). MSC: 11T71 11R04 11R09 11R58 PDF BibTeX XML Cite \textit{X. Zhao} et al., Des. Codes Cryptography 89, No. 2, 241--253 (2021; Zbl 07308509) Full Text: DOI
Murakami, Kazuaki On a new invariant determining the isomorphism classes of \(\Lambda\)-modules with \(\lambda = 3\). (English) Zbl 07307690 Manuscr. Math. 164, No. 3-4, 409-430 (2021). MSC: 11R23 11G05 PDF BibTeX XML Cite \textit{K. Murakami}, Manuscr. Math. 164, No. 3--4, 409--430 (2021; Zbl 07307690) Full Text: DOI
Chang, Chieh-Yu; Mishiba, Yoshinori On a conjecture of Furusho over function fields. (English) Zbl 07306970 Invent. Math. 223, No. 1, 49-102 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R58 11J93 14A20 14L05 14G15 PDF BibTeX XML Cite \textit{C.-Y. Chang} and \textit{Y. Mishiba}, Invent. Math. 223, No. 1, 49--102 (2021; Zbl 07306970) Full Text: DOI
Magness, Elsa; Nugent, Brian; Robertson, Leanne Walking to infinity along Gaussian lines. (English) Zbl 1454.11191 Integers 21, Paper A16, 19 p. (2021). MSC: 11R04 11A41 11B25 11N35 PDF BibTeX XML Cite \textit{E. Magness} et al., Integers 21, Paper A16, 19 p. (2021; Zbl 1454.11191) Full Text: Link
Sodaïgui, Bouchaïb; Taous, Mohammed On realizable Galois module classes by the inverse different. (English) Zbl 07306364 Commun. Algebra 49, No. 2, 763-771 (2021). Reviewer: Günter Lettl (Graz) MSC: 11R33 PDF BibTeX XML Cite \textit{B. Sodaïgui} and \textit{M. Taous}, Commun. Algebra 49, No. 2, 763--771 (2021; Zbl 07306364) Full Text: DOI
Chahal, J. S. Algebraic number theory. A brief introduction (to appear). (English) Zbl 07304715 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-01077-9/hbk; 978-0-367-76145-5/pbk). 152 p. (2021). MSC: 11-01 11Rxx 11Sxx PDF BibTeX XML Cite \textit{J. S. Chahal}, Algebraic number theory. A brief introduction (to appear). Boca Raton, FL: CRC Press (2021; Zbl 07304715)
Garcia, Stephan Ramon; Omar, Mohamed; O’Neill, Christopher; Yih, Samuel Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators. (English) Zbl 07304664 J. Comb. Theory, Ser. A 178, Article ID 105358, 35 p. (2021). MSC: 20M14 20M13 11R27 13A05 PDF BibTeX XML Cite \textit{S. R. Garcia} et al., J. Comb. Theory, Ser. A 178, Article ID 105358, 35 p. (2021; Zbl 07304664) Full Text: DOI
He, Zilong; Kane, Ben Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields. (English) Zbl 07304557 Res. Number Theory 7, No. 1, Paper No. 10, 17 p. (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 11N69 11R11 11E20 PDF BibTeX XML Cite \textit{Z. He} and \textit{B. Kane}, Res. Number Theory 7, No. 1, Paper No. 10, 17 p. (2021; Zbl 07304557) Full Text: DOI
Williams, R. Scott Level compatibility in the passage from modular symbols to cup products. (English) Zbl 07304556 Res. Number Theory 7, No. 1, Paper No. 9, 26 p. (2021). MSC: 11R23 11F67 PDF BibTeX XML Cite \textit{R. S. Williams}, Res. Number Theory 7, No. 1, Paper No. 9, 26 p. (2021; Zbl 07304556) Full Text: DOI
Dieulefait, Luis; Soto, Eduardo Solving \(a x^p + b y^p = c z^p\) with \(abc\) containing an arbitrary number of prime factors. (English) Zbl 07302848 Mediterr. J. Math. 18, No. 2, Paper No. 48, 24 p. (2021). MSC: 11D41 11F33 11F80 11G05 11D61 11R18 PDF BibTeX XML Cite \textit{L. Dieulefait} and \textit{E. Soto}, Mediterr. J. Math. 18, No. 2, Paper No. 48, 24 p. (2021; Zbl 07302848) Full Text: DOI
Hoque, Azizul; Kotyada, Srinivas Class number one problem for the real quadratic fields \(\mathbb{Q}(\sqrt{m^2+2r})\). (English) Zbl 07302505 Arch. Math. 116, No. 1, 33-36 (2021). MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{A. Hoque} and \textit{S. Kotyada}, Arch. Math. 116, No. 1, 33--36 (2021; Zbl 07302505) Full Text: DOI
Zinevičius, Albertas Non-sums of two cubes of algebraic integers. (English) Zbl 07301032 Colloq. Math. 163, No. 2, 285-293 (2021). MSC: 11D25 11R04 PDF BibTeX XML Cite \textit{A. Zinevičius}, Colloq. Math. 163, No. 2, 285--293 (2021; Zbl 07301032) Full Text: DOI
Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P. Type-I contributions to the one and two level densities of quadratic Dirichlet \(L\)-functions over function fields. (English) Zbl 07300439 J. Number Theory 221, 389-423 (2021). MSC: 11R59 11M50 11M41 PDF BibTeX XML Cite \textit{H. M. Bui} et al., J. Number Theory 221, 389--423 (2021; Zbl 07300439) Full Text: DOI
Smit, Harry \(L\)-series and isomorphisms of number fields. (English) Zbl 07300436 J. Number Theory 221, 339-357 (2021). MSC: 11R37 11R42 PDF BibTeX XML Cite \textit{H. Smit}, J. Number Theory 221, 339--357 (2021; Zbl 07300436) Full Text: DOI
Wang, Biao Analogues of Alladi’s formula. (English) Zbl 07300433 J. Number Theory 221, 232-246 (2021). MSC: 11N13 11R45 PDF BibTeX XML Cite \textit{B. Wang}, J. Number Theory 221, 232--246 (2021; Zbl 07300433) Full Text: DOI
Patankar, Vijay M.; Rajan, C. S. On the structure of locally potentially equivalent Galois representations. (English) Zbl 07300430 J. Number Theory 221, 190-210 (2021). MSC: 11F80 11R45 PDF BibTeX XML Cite \textit{V. M. Patankar} and \textit{C. S. Rajan}, J. Number Theory 221, 190--210 (2021; Zbl 07300430) Full Text: DOI
Chen, Rui; Chen, Zhuo; Hu, Chuangqiang A modular interpretation of BBGS towers. (English) Zbl 07300428 J. Number Theory 221, 143-173 (2021). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) MSC: 11G09 11R58 14Q05 14H05 PDF BibTeX XML Cite \textit{R. Chen} et al., J. Number Theory 221, 143--173 (2021; Zbl 07300428) Full Text: DOI
Thorner, Jesse; Zaman, Asif An unconditional \(\mathrm{GL}_n\) large sieve. (English) Zbl 07298480 Adv. Math. 378, Article ID 107529, 25 p. (2021). MSC: 11F66 11F67 11M41 11R44 11F70 PDF BibTeX XML Cite \textit{J. Thorner} and \textit{A. Zaman}, Adv. Math. 378, Article ID 107529, 25 p. (2021; Zbl 07298480) Full Text: DOI
Friedman, Eduardo; Johansson, Fredrik; Ramirez-Raposo, Gabriel The minimal Fried average entropy for higher-rank Cartan actions. (English) Zbl 07298463 Math. Comput. 90, No. 328, 973-978 (2021). MSC: 37A44 37C85 37A35 11R27 PDF BibTeX XML Cite \textit{E. Friedman} et al., Math. Comput. 90, No. 328, 973--978 (2021; Zbl 07298463) Full Text: DOI
Hare, Kevin G.; Jankauskas, Jonas On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk. (English) Zbl 07298457 Math. Comput. 90, No. 328, 831-870 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11R09 12D10 11C08 11B83 65H04 PDF BibTeX XML Cite \textit{K. G. Hare} and \textit{J. Jankauskas}, Math. Comput. 90, No. 328, 831--870 (2021; Zbl 07298457) Full Text: DOI
Kala, Vítězslav; Yatsyna, Pavlo Lifting problem for universal quadratic forms. (English) Zbl 07289458 Adv. Math. 377, Article ID 107497, 25 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11R11 11R18 11H06 11H55 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, Adv. Math. 377, Article ID 107497, 25 p. (2021; Zbl 07289458) Full Text: DOI
Bridy, Andrew; Doyle, John R.; Ghioca, Dragos; Hsia, Liang-Chung; Tucker, Thomas J. Finite index theorems for iterated Galois groups of unicritical polynomials. (English) Zbl 07288870 Trans. Am. Math. Soc. 374, No. 1, 733-752 (2021). MSC: 37P15 37P05 37P30 11G50 11R32 14G25 PDF BibTeX XML Cite \textit{A. Bridy} et al., Trans. Am. Math. Soc. 374, No. 1, 733--752 (2021; Zbl 07288870) Full Text: DOI
Sheydvasser, Arseniy (Senia) The twisted Euclidean algorithm: applications to number theory and geometry. (English) Zbl 07286505 J. Algebra 569, 823-855 (2021). MSC: 11Y40 11R52 20G30 51M10 PDF BibTeX XML Cite \textit{A. Sheydvasser}, J. Algebra 569, 823--855 (2021; Zbl 07286505) Full Text: DOI
Bensebaa, Boualem; Movahhedi, Abbas; Salinier, Alain Wild ramification in trinomial extensions and Galois groups. (English) Zbl 07286316 Glasg. Math. J. 63, No. 1, 106-120 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R32 12F10 11S15 11C08 PDF BibTeX XML Cite \textit{B. Bensebaa} et al., Glasg. Math. J. 63, No. 1, 106--120 (2021; Zbl 07286316) Full Text: DOI
Chabert, Jean-Luc; Halberstadt, Emmanuel From Pólya fields to Pólya groups (II) non-Galois number fields. (English) Zbl 07276985 J. Number Theory 220, 295-319 (2021). MSC: 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{J.-L. Chabert} and \textit{E. Halberstadt}, J. Number Theory 220, 295--319 (2021; Zbl 07276985) Full Text: DOI
Kim, Kwang-Seob; König, Joachim On Galois extensions with prescribed decomposition groups. (English) Zbl 07276984 J. Number Theory 220, 266-294 (2021). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 11R32 PDF BibTeX XML Cite \textit{K.-S. Kim} and \textit{J. König}, J. Number Theory 220, 266--294 (2021; Zbl 07276984) Full Text: DOI
Haas, Johann; Lüders, Morten A local to global principle for higher zero-cycles. (English) Zbl 07276983 J. Number Theory 220, 235-265 (2021). MSC: 14C15 11R37 PDF BibTeX XML Cite \textit{J. Haas} and \textit{M. Lüders}, J. Number Theory 220, 235--265 (2021; Zbl 07276983) Full Text: DOI
Pollak, Benjamin Ramification in the inverse Galois problem. (English) Zbl 07276974 J. Number Theory 220, 34-60 (2021). Reviewer: Kevin Keating (Gainesville) MSC: 11R32 11R29 11S15 PDF BibTeX XML Cite \textit{B. Pollak}, J. Number Theory 220, 34--60 (2021; Zbl 07276974) Full Text: DOI
Aygin, Zafer Selcuk; Nguyen, Khoa D. Monogenic pure cubics. (English) Zbl 07276964 J. Number Theory 219, 356-367 (2021). MSC: 11R16 11R58 11D25 PDF BibTeX XML Cite \textit{Z. S. Aygin} and \textit{K. D. Nguyen}, J. Number Theory 219, 356--367 (2021; Zbl 07276964) Full Text: DOI
Philippon, Patrice; Rath, Purusottam A note on trace of powers of algebraic numbers. (English) Zbl 07276956 J. Number Theory 219, 198-211 (2021). Reviewer: Riccardo Pengo (Lyon) MSC: 11J87 11R06 PDF BibTeX XML Cite \textit{P. Philippon} and \textit{P. Rath}, J. Number Theory 219, 198--211 (2021; Zbl 07276956) Full Text: DOI
Flammang, V. Upper bounds for the usual measures of totally positive algebraic integers with house less than 5.8. (English) Zbl 07268663 Math. Comput. 90, No. 327, 379-388 (2021). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R06 11C08 11Y40 PDF BibTeX XML Cite \textit{V. Flammang}, Math. Comput. 90, No. 327, 379--388 (2021; Zbl 07268663) Full Text: DOI
Morton, Patrick On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\). (English) Zbl 07257228 J. Number Theory 218, 234-271 (2021). MSC: 11G05 11G07 11F03 14H52 11G15 11G20 11R29 11R37 PDF BibTeX XML Cite \textit{P. Morton}, J. Number Theory 218, 234--271 (2021; Zbl 07257228) Full Text: DOI
Asensouyis, Hassan; Assim, Jilali; Mazigh, Youness A genus formula for the positive étale wild kernel. (English) Zbl 1453.11147 J. Number Theory 218, 161-179 (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R34 11R70 PDF BibTeX XML Cite \textit{H. Asensouyis} et al., J. Number Theory 218, 161--179 (2021; Zbl 1453.11147) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Product formulas for periods of CM abelian varieties and the function field analog. (English) Zbl 07257222 J. Number Theory 218, 62-151 (2021). MSC: 11G09 11G15 11R42 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, J. Number Theory 218, 62--151 (2021; Zbl 07257222) Full Text: DOI
Fukasawa, Satoru; Higashine, Kazuki A birational embedding with two Galois points for quotient curves. (English) Zbl 1443.14037 J. Pure Appl. Algebra 225, No. 3, Article ID 106525, 10 p. (2021). MSC: 14H50 14H05 14H37 11G20 11R58 PDF BibTeX XML Cite \textit{S. Fukasawa} and \textit{K. Higashine}, J. Pure Appl. Algebra 225, No. 3, Article ID 106525, 10 p. (2021; Zbl 1443.14037) Full Text: DOI
Kontogeorgis, Aristides; Ward, Jacob Kenneth Arithmetic actions on cyclotomic function fields. (English) Zbl 07241688 J. Pure Appl. Algebra 225, No. 1, Article ID 106478, 25 p. (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R60 11G09 11R58 13N05 14H37 14H55 PDF BibTeX XML Cite \textit{A. Kontogeorgis} and \textit{J. K. Ward}, J. Pure Appl. Algebra 225, No. 1, Article ID 106478, 25 p. (2021; Zbl 07241688) Full Text: DOI
Kogoshi, Yuta; Morisawa, Takayuki On the class numbers in the cyclotomic \(\mathbb Z_{29}\)- and \(\mathbb Z_{31}\)-extensions of the field of rationals. (English) Zbl 07330984 Exp. Math. 29, No. 4, 470-474 (2020). MSC: 11R29 11R18 PDF BibTeX XML Cite \textit{Y. Kogoshi} and \textit{T. Morisawa}, Exp. Math. 29, No. 4, 470--474 (2020; Zbl 07330984) Full Text: DOI
Deo, Shaunak V.; Wiese, Gabor Dihedral universal deformations. (English) Zbl 07329841 Res. Number Theory 6, No. 3, Paper No. 29, 37 p. (2020). MSC: 11F80 11F41 11R29 11R37 PDF BibTeX XML Cite \textit{S. V. Deo} and \textit{G. Wiese}, Res. Number Theory 6, No. 3, Paper No. 29, 37 p. (2020; Zbl 07329841) Full Text: DOI
Cerda-Morales, Gamaliel A note on dual third-order Jacobsthal vectors. (English) Zbl 07326515 Ann. Math. Inform. 52, 57-70 (2020). MSC: 11B39 11R52 05A15 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Ann. Math. Inform. 52, 57--70 (2020; Zbl 07326515) Full Text: DOI
El Fadil, Lhoussain On power integral bases for certain pure number fields defined by \(x^{24}-m\). (English) Zbl 07326487 Stud. Sci. Math. Hung. 57, No. 3, 397-407 (2020). MSC: 11R04 11R16 11R21 PDF BibTeX XML Cite \textit{L. El Fadil}, Stud. Sci. Math. Hung. 57, No. 3, 397--407 (2020; Zbl 07326487) Full Text: DOI
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa Complete solutions of certain Lebesgue-Ramanujan-Nagell type equations. (English) Zbl 07326469 Publ. Math. 97, No. 3-4, 339-352 (2020). MSC: 11D41 11R29 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., Publ. Math. 97, No. 3--4, 339--352 (2020; Zbl 07326469) Full Text: DOI
Bonciocat, Anca Iuliana; Bonciocat, Nicolae Ciprian; Bugeaud, Yann; Cipu, Mihai; Mignotte, Maurice Irreducibility criteria for compositions of multivariate polynomials over arbitrary fields. (English) Zbl 07326468 Publ. Math. 97, No. 3-4, 321-337 (2020). MSC: 11R09 11C08 PDF BibTeX XML Cite \textit{A. I. Bonciocat} et al., Publ. Math. 97, No. 3--4, 321--337 (2020; Zbl 07326468) Full Text: DOI
Catanese, Fabrizio Cyclic symmetry on complex tori and Bagnera-De Franchis manifolds. (English) Zbl 07326259 Neumann, Frank (ed.) et al., Galois covers, Grothendieck-Teichmüller theory and dessins d’enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4–7, 2018. Cham: Springer (ISBN 978-3-030-51794-6/hbk; 978-3-030-51795-3/ebook). Springer Proceedings in Mathematics & Statistics 330, 31-54 (2020). MSC: 32Q15 32M17 32Q57 14K99 14D99 11A07 11R18 13C05 PDF BibTeX XML Cite \textit{F. Catanese}, in: Galois covers, Grothendieck-Teichmüller theory and dessins d'enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4--7, 2018. Cham: Springer. 31--54 (2020; Zbl 07326259) Full Text: DOI