Niibo, Hirofumi; Ueki, Jun A Hilbert reciprocity law on 3-manifolds. (English) Zbl 07629733 Res. Math. Sci. 10, No. 1, Paper No. 3, 8 p. (2023). MSC: 37D99 57K99 57M99 11R37 PDF BibTeX XML Cite \textit{H. Niibo} and \textit{J. Ueki}, Res. Math. Sci. 10, No. 1, Paper No. 3, 8 p. (2023; Zbl 07629733) Full Text: DOI arXiv OpenURL
Jung, Ho Yun; Koo, Ja Kyung; Shin, Dong Hwa; Yoon, Dong Sung Form class groups and class fields of CM-fields. (English) Zbl 1498.11222 Result. Math. 78, No. 1, Paper No. 8, 33 p. (2023). MSC: 11R37 11E12 11F41 11R29 PDF BibTeX XML Cite \textit{H. Y. Jung} et al., Result. Math. 78, No. 1, Paper No. 8, 33 p. (2023; Zbl 1498.11222) Full Text: DOI arXiv OpenURL
Mayer, Daniel C.; Soullami, Abderazak Algebraic number fields generated by an infinite family of monogenic trinomials. (English) Zbl 1498.11215 Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 1, 38 p. (2023). MSC: 11R04 11R16 11R20 11R21 11R27 11R29 11R37 11Y40 PDF BibTeX XML Cite \textit{D. C. Mayer} and \textit{A. Soullami}, Bol. Soc. Mat. Mex., III. Ser. 29, No. 1, Paper No. 1, 38 p. (2023; Zbl 1498.11215) Full Text: DOI arXiv OpenURL
Chems-Eddin, Mohamed Mahmoud; Hajjami, Moulay Ahmed; Taous, Mohammed The construction of the Hilbert genus fields of real cyclic quartic fields. (English) Zbl 07634423 Funct. Approximatio, Comment. Math. 67, No. 2, 235-257 (2022). MSC: 11R04 11R16 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Funct. Approximatio, Comment. Math. 67, No. 2, 235--257 (2022; Zbl 07634423) Full Text: DOI arXiv Link OpenURL
Chenevier, Gaëtan Statistics for Kneser \(p\)-neighbors. (English) Zbl 07628565 Bull. Soc. Math. Fr. 150, No. 3, 473-516 (2022). MSC: 11F46 11F55 11F70 11F72 11F80 11G40 11H06 11R39 11Y55 22C05 PDF BibTeX XML Cite \textit{G. Chenevier}, Bull. Soc. Math. Fr. 150, No. 3, 473--516 (2022; Zbl 07628565) Full Text: DOI arXiv OpenURL
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek Unit groups of some multiquadratic number fields of degree 16. (English) Zbl 07626140 São Paulo J. Math. Sci. 16, No. 2, 1091-1096 (2022). MSC: 11R04 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., São Paulo J. Math. Sci. 16, No. 2, 1091--1096 (2022; Zbl 07626140) Full Text: DOI OpenURL
Murty, V. Kumar; Sivaraman, J. Euclidean ideal classes in Galois number fields of odd prime degree. (English) Zbl 1497.11276 Res. Number Theory 8, No. 3, Paper No. 51, 9 p. (2022). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R37 11A05 11N36 11R04 13F07 PDF BibTeX XML Cite \textit{V. K. Murty} and \textit{J. Sivaraman}, Res. Number Theory 8, No. 3, Paper No. 51, 9 p. (2022; Zbl 1497.11276) Full Text: DOI arXiv OpenURL
Benjamin, Elliot; Snyder, C. Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2. (English) Zbl 07569765 J. Number Theory 238, 1012-1043 (2022). MSC: 11R29 20D15 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. Snyder}, J. Number Theory 238, 1012--1043 (2022; Zbl 07569765) Full Text: DOI OpenURL
Morton, Patrick; Raianu, Serban Arithmetic properties of 3-cycles of quadratic maps over \(\mathbb{Q}\). (English) Zbl 07567849 J. Number Theory 240, 685-729 (2022). MSC: 11R09 37P05 11C08 PDF BibTeX XML Cite \textit{P. Morton} and \textit{S. Raianu}, J. Number Theory 240, 685--729 (2022; Zbl 07567849) Full Text: DOI arXiv OpenURL
Chems-Eddin, Mohamed Mahmoud Unit groups of some multiquadratic number fields and 2-class groups. (English) Zbl 07551296 Period. Math. Hung. 84, No. 2, 235-249 (2022). Reviewer: Nikolai L. Manev (Sofia) MSC: 11R04 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin}, Period. Math. Hung. 84, No. 2, 235--249 (2022; Zbl 07551296) Full Text: DOI arXiv OpenURL
Xie, Jianfeng; Chao, Kuok Fai A note on 3-divisibility of class number of quadratic field. (English) Zbl 1489.11188 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 1489.11188) 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
Hofer, Martin; Kleine, Sören On two conjectures of Gross for large vanishing orders. (English) Zbl 07463839 Monatsh. Math. 197, No. 1, 85-109 (2022). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R23 11-02 11R20 11R18 11R27 11R37 11S40 11R80 11F41 PDF BibTeX XML Cite \textit{M. Hofer} and \textit{S. Kleine}, Monatsh. Math. 197, No. 1, 85--109 (2022; Zbl 07463839) Full Text: DOI arXiv OpenURL
Chan, Stephanie; Milovic, Djordjo Kuroda’s formula and arithmetic statistics. (English) Zbl 1486.11136 Math. Z. 300, No. 2, 1509-1527 (2022). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R29 11R45 11R80 PDF BibTeX XML Cite \textit{S. Chan} and \textit{D. Milovic}, Math. Z. 300, No. 2, 1509--1527 (2022; Zbl 1486.11136) Full Text: DOI arXiv OpenURL
Hajjami, Moulay Ahmed; Chems-Eddin, Mohamed Mahmoud On Hilbert genus fields of imaginary cyclic quartic fields. (English) Zbl 1497.11265 Turk. J. Math. 45, No. 4, 1689-1704 (2021). MSC: 11R16 11R29 11R27 11R37 PDF BibTeX XML Cite \textit{M. A. Hajjami} and \textit{M. M. Chems-Eddin}, Turk. J. Math. 45, No. 4, 1689--1704 (2021; Zbl 1497.11265) Full Text: DOI arXiv OpenURL
Acciaro, V.; Savin, D.; Taous, M.; Zekhnini, A. On quaternion algebras over some extensions of quadratic number fields. (English) Zbl 1471.11283 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 59, 7 p. (2021). MSC: 11R52 16K20 PDF BibTeX XML Cite \textit{V. Acciaro} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 59, 7 p. (2021; Zbl 1471.11283) Full Text: DOI arXiv OpenURL
Reyes-Morales, Carlos Daniel; Villa-Salvador, Gabriel Genus fields of Kummer \(\ell^n\)-cyclic extensions. (English) Zbl 1477.11194 Int. J. Math. 32, No. 9, Article ID 2150062, 21 p. (2021). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R60 11R58 11R29 PDF BibTeX XML Cite \textit{C. D. Reyes-Morales} and \textit{G. Villa-Salvador}, Int. J. Math. 32, No. 9, Article ID 2150062, 21 p. (2021; Zbl 1477.11194) Full Text: DOI arXiv OpenURL
Schempp, Walter J. Congruence and metaplectic covariance: rational biquadratic reciprocity and quantum entanglement. (English) Zbl 1488.11171 Constr. Math. Anal. 4, No. 1, 61-80 (2021). MSC: 11R37 81P40 PDF BibTeX XML Cite \textit{W. J. Schempp}, Constr. Math. Anal. 4, No. 1, 61--80 (2021; Zbl 1488.11171) Full Text: DOI OpenURL
Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed On Hilbert class field tower for some quartic number fields. (English) Zbl 1488.11170 Arab J. Math. Sci. 27, No. 1, 20-25 (2021). MSC: 11R37 11R29 PDF BibTeX XML Cite \textit{A. Azizi} et al., Arab J. Math. Sci. 27, No. 1, 20--25 (2021; Zbl 1488.11170) Full Text: DOI OpenURL
Betina, Adel; Deo, Shaunak V.; Fité, Francesc On the Hilbert eigenvariety at exotic and CM classical weight 1 points. (English) Zbl 1469.11152 Math. Z. 298, No. 3-4, 1077-1096 (2021). MSC: 11F80 11F41 11R37 PDF BibTeX XML Cite \textit{A. Betina} et al., Math. Z. 298, No. 3--4, 1077--1096 (2021; Zbl 1469.11152) Full Text: DOI arXiv OpenURL
Koo, Ja Kyung; Robert, Gilles; Shin, Dong Hwa; Yoon, Dong Sung On Siegel invariants of certain CM-fields. (English) Zbl 1469.11441 Ramanujan J. 54, No. 2, 261-284 (2021). MSC: 11R37 11F46 11G15 14K25 PDF BibTeX XML Cite \textit{J. K. Koo} et al., Ramanujan J. 54, No. 2, 261--284 (2021; Zbl 1469.11441) Full Text: DOI arXiv OpenURL
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 OpenURL
Demangos, L.; Gendron, T. M. Quantum modular invariant and Hilbert class fields of real quadratic global function fields. (English) Zbl 1473.11209 Sel. Math., New Ser. 27, No. 1, Paper No. 13, 25 p. (2021). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11R37 11F03 11K60 11R58 11R80 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 1473.11209) Full Text: DOI OpenURL
Deo, Shaunak V.; Wiese, Gabor Dihedral universal deformations. (English) Zbl 1479.11087 Res. Number Theory 6, No. 3, Paper No. 29, 37 p. (2020). Reviewer: Lei Yang (Beijing) 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 1479.11087) Full Text: DOI arXiv OpenURL
Madunts, A. I. Hazewinkel functional lemma and classification of formal groups. (English. Russian original) Zbl 1457.14099 Vestn. St. Petersbg. Univ., Math. 53, No. 2, 155-161 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 245-253 (2020). MSC: 14L05 11S31 PDF BibTeX XML Cite \textit{A. I. Madunts}, Vestn. St. Petersbg. Univ., Math. 53, No. 2, 155--161 (2020; Zbl 1457.14099); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 245--253 (2020) Full Text: DOI OpenURL
Shiga, Hironori An explicit Shimura canonical model for the quaternion algebra of discriminant 6. (English) Zbl 1454.11116 RIMS Kôkyûroku Bessatsu B77, 127-140 (2020). MSC: 11G18 11G15 14G35 14K22 14K25 33C05 PDF BibTeX XML Cite \textit{H. Shiga}, RIMS Kôkyûroku Bessatsu B77, 127--140 (2020; Zbl 1454.11116) Full Text: Link OpenURL
Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A. 3-rank of ambiguous class groups of cubic Kummer extensions. (English) Zbl 1474.11186 Period. Math. Hung. 81, No. 2, 250-274 (2020). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{S. Aouissi} et al., Period. Math. Hung. 81, No. 2, 250--274 (2020; Zbl 1474.11186) Full Text: DOI arXiv OpenURL
Antieau, Benjamin; Meier, Lennart The Brauer group of the moduli stack of elliptic curves. (English) Zbl 1459.14007 Algebra Number Theory 14, No. 9, 2295-2333 (2020). MSC: 14F22 11R37 14D23 14H10 14H52 PDF BibTeX XML Cite \textit{B. Antieau} and \textit{L. Meier}, Algebra Number Theory 14, No. 9, 2295--2333 (2020; Zbl 1459.14007) Full Text: DOI arXiv OpenURL
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek Units and 2-class field towers of some multiquadratic number fields. (English) Zbl 1455.11140 Turk. J. Math. 44, No. 4, 1466-1483 (2020). Reviewer: Toufik Zaïmi (Riyadh) MSC: 11R04 11R11 11R27 11R29 11R39 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Turk. J. Math. 44, No. 4, 1466--1483 (2020; Zbl 1455.11140) Full Text: DOI arXiv OpenURL
Hajir, Farshid; Maire, Christian; Ramakrishna, Ravi Infinite class field towers of number fields of prime power discriminant. (English) Zbl 1469.11440 Adv. Math. 373, Article ID 107318, 8 p. (2020). MSC: 11R37 11R29 11R23 PDF BibTeX XML Cite \textit{F. Hajir} et al., Adv. Math. 373, Article ID 107318, 8 p. (2020; Zbl 1469.11440) Full Text: DOI arXiv OpenURL
Yu, Yih-Jeng Retracted: A note on number knots and the splitting of the Hilbert class field. (English) Zbl 1442.11151 Taiwanese J. Math. 24, No. 2, 283-300 (2020); retraction note ibid. 26, No. 2, 443 (2022). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 11R32 11R34 11R37 12F10 PDF BibTeX XML Cite \textit{Y.-J. Yu}, Taiwanese J. Math. 24, No. 2, 283--300 (2020; Zbl 1442.11151) Full Text: DOI Euclid OpenURL
Jorgenson, Jay; Smajlović, Lejla; Then, Holger On the evaluation of singular invariants for canonical generators of certain genus one arithmetic groups. (English) Zbl 1458.11160 Exp. Math. 29, No. 1, 1-27 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R37 11R58 11G15 14K22 14H45 PDF BibTeX XML Cite \textit{J. Jorgenson} et al., Exp. Math. 29, No. 1, 1--27 (2020; Zbl 1458.11160) Full Text: DOI arXiv OpenURL
Eum, Ick Sun; Koo, Ja Kyung; Shin, Dong Hwa Binary quadratic forms and ray class groups. (English) Zbl 1447.11114 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 695-720 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11R29 11E16 11G15 PDF BibTeX XML Cite \textit{I. S. Eum} et al., Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 695--720 (2020; Zbl 1447.11114) Full Text: DOI arXiv OpenURL
Appleby, Marcus; Flammia, Steven; McConnell, Gary; Yard, Jon Generating ray class fields of real quadratic fields via complex equiangular lines. (English) Zbl 1442.11153 Acta Arith. 192, No. 3, 211-233 (2020). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 42C15 11R11 PDF BibTeX XML Cite \textit{M. Appleby} et al., Acta Arith. 192, No. 3, 211--233 (2020; Zbl 1442.11153) Full Text: DOI arXiv OpenURL
Banerjee, Kalyan; Chakraborty, Kalyan; Hoque, Azizul Divisibility of Selmer groups and class groups. (English) Zbl 1480.11077 Hardy-Ramanujan J. 42, 85-99 (2019). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 11G10 11R29 11R65 14C25 14C05 14C20 PDF BibTeX XML Cite \textit{K. Banerjee} et al., Hardy-Ramanujan J. 42, 85--99 (2019; Zbl 1480.11077) Full Text: arXiv Link OpenURL
Green, Nathan Special zeta values using tensor powers of Drinfeld modules. (English) Zbl 1468.11133 Math. Res. Lett. 26, No. 6, 1629-1676 (2019). MSC: 11G09 11J93 11M38 11R59 PDF BibTeX XML Cite \textit{N. Green}, Math. Res. Lett. 26, No. 6, 1629--1676 (2019; Zbl 1468.11133) Full Text: DOI arXiv OpenURL
Balasubramanyam, Baskar; Majumdar, Dipramit \(p\)-adic Asai transfer. (English) Zbl 1441.11108 J. Ramanujan Math. Soc. 34, No. 3, 305-324 (2019). MSC: 11F41 11F55 11F33 11F85 11R39 14G22 PDF BibTeX XML Cite \textit{B. Balasubramanyam} and \textit{D. Majumdar}, J. Ramanujan Math. Soc. 34, No. 3, 305--324 (2019; Zbl 1441.11108) Full Text: arXiv Link OpenURL
Azizi, Abdelmalek On the splitting field of some polynomials with class number one. (English) Zbl 1448.11199 Gueye, Cheikh Thiecoumba (ed.) et al., Algebra, codes and cryptology. Proceedings of the first international conference, A2C 2019, in honor of Prof. Mamadou Sanghare, Dakar, Senegal, December 5–7, 2019. Cham: Springer. Commun. Comput. Inf. Sci. 1133, 73-80 (2019). Reviewer: Elliot Benjamin (Winterport) MSC: 11R29 PDF BibTeX XML Cite \textit{A. Azizi}, Commun. Comput. Inf. Sci. 1133, 73--80 (2019; Zbl 1448.11199) Full Text: DOI OpenURL
Pizarro-Madariaga, Amalia Irreducible characters with bounded root Artin conductor. (English) Zbl 1477.11189 Algebra Number Theory 13, No. 9, 1997-2004 (2019). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R32 11Y40 20G05 PDF BibTeX XML Cite \textit{A. Pizarro-Madariaga}, Algebra Number Theory 13, No. 9, 1997--2004 (2019; Zbl 1477.11189) Full Text: DOI arXiv OpenURL
Oh, Jangheon Lifting of the unramified Iwasawa module. (English) Zbl 1442.11147 Korean J. Math. 27, No. 3, 657-660 (2019). Reviewer: Wei Feng (Beijing) MSC: 11R23 PDF BibTeX XML Cite \textit{J. Oh}, Korean J. Math. 27, No. 3, 657--660 (2019; Zbl 1442.11147) Full Text: DOI OpenURL
Kezuka, Yukako On the main conjecture of Iwasawa theory for certain non-cyclotomic \(\mathbb{Z}_p\)-extensions. (English) Zbl 1485.11155 J. Lond. Math. Soc., II. Ser. 100, No. 1, 107-136 (2019). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11R23 PDF BibTeX XML Cite \textit{Y. Kezuka}, J. Lond. Math. Soc., II. Ser. 100, No. 1, 107--136 (2019; Zbl 1485.11155) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Jerrari, Idriss; Zekhnini, Abdelkader; Talbi, Mohammed On the 2-class field towers of some imaginary quartic cyclic number fields. (English) Zbl 1454.11198 Colloq. Math. 158, No. 1, 103-118 (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11R16 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Colloq. Math. 158, No. 1, 103--118 (2019; Zbl 1454.11198) Full Text: DOI OpenURL
Koo, Ja Kyung; Yoon, Dong Sung Construction of class fields over imaginary biquadratic fields. (English) Zbl 1437.11084 Indiana Univ. Math. J. 68, No. 2, 413-434 (2019). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11G16 11R37 11F46 PDF BibTeX XML Cite \textit{J. K. Koo} and \textit{D. S. Yoon}, Indiana Univ. Math. J. 68, No. 2, 413--434 (2019; Zbl 1437.11084) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Jerrari, Idriss; Zekhnini, Abdelkader; Talbi, Mohammed Capitulation of the 2-ideal classes of type \((2, 2, 2)\) of some quartic cyclic number fields. (English) Zbl 1415.11150 J. Math. Cryptol. 13, No. 1, 27-46 (2019). MSC: 11R16 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., J. Math. Cryptol. 13, No. 1, 27--46 (2019; Zbl 1415.11150) Full Text: DOI OpenURL
Azizi, Abdelmalek; Rezzougui, Mohammed; Taous, Mohammed; Zekhnini, Abdelkader On the Hilbert 2-class field of some quadratic number fields. (English) Zbl 1457.11151 Int. J. Number Theory 15, No. 4, 807-824 (2019). Reviewer: Elliot Benjamin (Winterport) MSC: 11R29 11R11 11R32 11R37 20D15 PDF BibTeX XML Cite \textit{A. Azizi} et al., Int. J. Number Theory 15, No. 4, 807--824 (2019; Zbl 1457.11151) Full Text: DOI OpenURL
Oh, Jangheon Construction of the Hilbert class field of some imaginary quadratic fields. (English) Zbl 1440.11209 Korean J. Math. 26, No. 2, 293-297 (2018). MSC: 11R23 11R37 PDF BibTeX XML Cite \textit{J. Oh}, Korean J. Math. 26, No. 2, 293--297 (2018; Zbl 1440.11209) Full Text: DOI OpenURL
Shiga, Hironori; Nagano, Atsuhira One visualization of Shimura’s complex multiplication theorem via hypergeometric modular functions. (English) Zbl 1426.32008 RIMS Kôkyûroku Bessatsu B72, 309-329 (2018). MSC: 32Gxx 14K22 14K25 33C05 PDF BibTeX XML Cite \textit{H. Shiga} and \textit{A. Nagano}, RIMS Kôkyûroku Bessatsu B72, 309--329 (2018; Zbl 1426.32008) OpenURL
Elia, Michele; Pintore, Federico On the representation of primes by binary quadratic forms. (English) Zbl 1427.11035 JP J. Algebra Number Theory Appl. 40, No. 2, 165-179 (2018). MSC: 11E25 11D09 11Y40 PDF BibTeX XML Cite \textit{M. Elia} and \textit{F. Pintore}, JP J. Algebra Number Theory Appl. 40, No. 2, 165--179 (2018; Zbl 1427.11035) Full Text: DOI OpenURL
Benjamin, Elliot; Snyder, C. On the rank of the 2-class group of the Hilbert 2-class field of some quadratic fields. (English) Zbl 1445.11127 Q. J. Math. 69, No. 4, 1163-1193 (2018). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. Snyder}, Q. J. Math. 69, No. 4, 1163--1193 (2018; Zbl 1445.11127) Full Text: DOI OpenURL
Zhao, Zhengjun The class groups of cyclic extensions of global function fields of prime degree. (Chinese. English summary) Zbl 1424.11159 Acta Math. Sin., Chin. Ser. 61, No. 5, 729-740 (2018). MSC: 11R29 11R65 PDF BibTeX XML Cite \textit{Z. Zhao}, Acta Math. Sin., Chin. Ser. 61, No. 5, 729--740 (2018; Zbl 1424.11159) OpenURL
Chakraborty, Kalyan; Hoque, Azizul; Sharma, Richa Divisibility of class numbers of quadratic fields: qualitative aspects. (English) Zbl 1418.11144 Agarwal, Praveen (ed.) et al., Advances in mathematical inequalities and applications. Singapore: Birkhäuser. Trends Math., 247-264 (2018). MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{K. Chakraborty} et al., in: Advances in mathematical inequalities and applications. Singapore: Birkhäuser. 247--264 (2018; Zbl 1418.11144) Full Text: DOI OpenURL
Azizi, Abdelmalek; Jerrari, Idriss; Talbi, Mohammed Unramified extensions of some cyclic quartic fields. (English) Zbl 1424.11154 Bol. Soc. Parana. Mat. (3) 36, No. 1, 215-221 (2018). MSC: 11R16 11R27 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 36, No. 1, 215--221 (2018; Zbl 1424.11154) Full Text: Link OpenURL
Madunts, A. I. Formal modules for relative formal Lubin-Tate groups. (English. Russian original) Zbl 1418.11150 J. Math. Sci., New York 232, No. 5, 704-716 (2018); translation from Zap. Nauchn. Semin. POMI 452, 177-194 (2016). MSC: 11S31 PDF BibTeX XML Cite \textit{A. I. Madunts}, J. Math. Sci., New York 232, No. 5, 704--716 (2018; Zbl 1418.11150); translation from Zap. Nauchn. Semin. POMI 452, 177--194 (2016) Full Text: DOI OpenURL
Szpruch, Dani A short proof for the relation between Weil indices and \(\varepsilon\)-factors. (English) Zbl 1439.11281 Commun. Algebra 46, No. 7, 2846-2851 (2018). MSC: 11R37 11S31 11F27 11F70 PDF BibTeX XML Cite \textit{D. Szpruch}, Commun. Algebra 46, No. 7, 2846--2851 (2018; Zbl 1439.11281) Full Text: DOI OpenURL
Nagano, Atsuhira Icosahedral invariants and a construction of class fields via periods of \(K3\) surfaces. (English) Zbl 1448.11120 Ramanujan J. 46, No. 1, 201-227 (2018). Reviewer: Mauro Fortuna (Hannover) MSC: 11G45 14J28 14G35 11F46 11G15 11R16 PDF BibTeX XML Cite \textit{A. Nagano}, Ramanujan J. 46, No. 1, 201--227 (2018; Zbl 1448.11120) Full Text: DOI arXiv OpenURL
Mayer, Daniel C. Annihilator ideals of two-generated metabelian \(p\)-groups. (English) Zbl 1441.20011 J. Algebra Appl. 17, No. 4, Article ID 1850076, 37 p. (2018). MSC: 20D15 20F05 11R37 13F20 13P10 20F12 20F14 PDF BibTeX XML Cite \textit{D. C. Mayer}, J. Algebra Appl. 17, No. 4, Article ID 1850076, 37 p. (2018; Zbl 1441.20011) Full Text: DOI arXiv OpenURL
Lario, Joan-Carles (ed.); Murty, Vijaya Kumar (ed.) Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21–23, 2012. (English) Zbl 1384.11002 Contemporary Mathematics 701. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1991-2/hbk; 978-1-4704-4385-6/ebook). xiv, 219 p. (2018). MSC: 11-06 11Gxx 11F41 11R37 11M99 00B25 PDF BibTeX XML Cite \textit{J.-C. Lario} (ed.) and \textit{V. K. Murty} (ed.), Number theory related to modular curves: Momose memorial volume. Proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in memory of Fumiyuki Momose, Barcelona, Spain, May 21--23, 2012. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1384.11002) Full Text: DOI OpenURL
Kim, Henry H.; Yamauchi, Takuya A uniform structure on subgroups of \(\mathrm{GL}_n(\mathbb F_q)\) and its application to a conditional construction of Artin representations of \(\mathrm{GL}_n\). (English) Zbl 1425.11094 J. Ramanujan Math. Soc. 32, No. 1, 75-99 (2017). MSC: 11F46 11F70 11R39 PDF BibTeX XML Cite \textit{H. H. Kim} and \textit{T. Yamauchi}, J. Ramanujan Math. Soc. 32, No. 1, 75--99 (2017; Zbl 1425.11094) Full Text: Link OpenURL
Koo, Ja Kyung; Shin, Dong Hwa; Yoon, Dong Sung Siegel families with application to class fields. (English) Zbl 1433.11051 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 4, 751-771 (2018). MSC: 11F46 11G15 PDF BibTeX XML Cite \textit{J. K. Koo} et al., Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 4, 751--771 (2017; Zbl 1433.11051) Full Text: DOI arXiv OpenURL
Zhang, Zhe; Yue, Qin Hilbert genus fields of imaginary biquadratic fields. (English) Zbl 1400.11147 Commun. Math. Stat. 5, No. 2, 175-197 (2017). MSC: 11R37 11R16 PDF BibTeX XML Cite \textit{Z. Zhang} and \textit{Q. Yue}, Commun. Math. Stat. 5, No. 2, 175--197 (2017; Zbl 1400.11147) Full Text: DOI OpenURL
Kurihara, Yoshimasa Characteristic classes in general relativity on a modified Poincaré curvature bundle. (English) Zbl 1376.83009 J. Math. Phys. 58, No. 9, 092502, 9 p. (2017). MSC: 83C05 19L10 53C21 53C07 83C55 83F05 83E15 PDF BibTeX XML Cite \textit{Y. Kurihara}, J. Math. Phys. 58, No. 9, 092502, 9 p. (2017; Zbl 1376.83009) Full Text: DOI arXiv OpenURL
Benjamin, Elliot Corrigendum to: “Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group”. (English) Zbl 1377.11115 J. Number Theory 180, 787-789 (2017). MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{E. Benjamin}, J. Number Theory 180, 787--789 (2017; Zbl 1377.11115) Full Text: DOI OpenURL
Bond, Robert J. Capitulation in abelian extensions of number fields. (English) Zbl 1385.11071 Acta Arith. 179, No. 3, 201-232 (2017). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11R34 PDF BibTeX XML Cite \textit{R. J. Bond}, Acta Arith. 179, No. 3, 201--232 (2017; Zbl 1385.11071) Full Text: DOI OpenURL
Vostokov, Sergey V.; Volkov, V. V. Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II. (English. Russian original) Zbl 1400.11151 J. Math. Sci., New York 222, No. 4, 394-403 (2017); translation from Zap. Nauchn. Semin. POMI 443, 46-60 (2016). MSC: 11S31 19D45 19F05 PDF BibTeX XML Cite \textit{S. V. Vostokov} and \textit{V. V. Volkov}, J. Math. Sci., New York 222, No. 4, 394--403 (2017; Zbl 1400.11151); translation from Zap. Nauchn. Semin. POMI 443, 46--60 (2016) Full Text: DOI OpenURL
Azizi, A.; Jerrari, I.; Zekhnini, A.; Talbi, M. On the second 2-class group \(\mathrm{Gal}(K_2^{(2)} / K)\) of some imaginary quartic cyclic number field \(K\). (English) Zbl 1428.11190 J. Number Theory 177, 562-588 (2017). MSC: 11R16 11R11 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., J. Number Theory 177, 562--588 (2017; Zbl 1428.11190) Full Text: DOI OpenURL
Benjamin, Elliot; Snyder, C. Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4. (English) Zbl 1401.11143 Acta Arith. 177, No. 4, 375-392 (2017). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 20D15 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. Snyder}, Acta Arith. 177, No. 4, 375--392 (2017; Zbl 1401.11143) Full Text: DOI OpenURL
Benjamin, Elliot Some real quadratic number fields with their Hilbert 2-class field having cyclic 2-class group. (English) Zbl 1377.11114 J. Number Theory 173, 529-546 (2017); corrigendum ibid. 180, 787-789 (2017). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R29 11R11 PDF BibTeX XML Cite \textit{E. Benjamin}, J. Number Theory 173, 529--546 (2017; Zbl 1377.11114) Full Text: DOI OpenURL
Morel, Sophie Construction of torsion Galois representations (after Peter Scholze). (Construction de représentations galoisiennes de torsion [d’après Peter Scholze].) (French) Zbl 1470.14003 Séminaire Bourbaki. Volume 2014/2015. Exposés 1089–1103. Paris: Société Mathématique de France (SMF). Astérisque 380, 449-473, Exp. No. 1102 (2016). MSC: 14-02 14G20 11F46 11S37 14G35 11G18 22E50 PDF BibTeX XML Cite \textit{S. Morel}, Astérisque 380, 449--473, Exp. No. 1102 (2016; Zbl 1470.14003) Full Text: arXiv OpenURL
Azizi, Abdelmalek; Talbi, Mohammed; Talbi, Mohamed On the Hilbert tower of certain fields. (Sur la tour de Hilbert de certains corps.) (French. English summary) Zbl 1415.11168 Bol. Soc. Parana. Mat. (3) 34, No. 2, 107-112 (2016). MSC: 11R37 11R16 11R27 11R29 PDF BibTeX XML Cite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 34, No. 2, 107--112 (2016; Zbl 1415.11168) Full Text: Link OpenURL
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On some metabelian 2-group and applications. II. (English) Zbl 1415.11169 Bol. Soc. Parana. Mat. (3) 34, No. 2, 75-85 (2016). MSC: 11R37 11R11 11R29 11R32 PDF BibTeX XML Cite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 34, No. 2, 75--85 (2016; Zbl 1415.11169) Full Text: Link OpenURL
Volkov, V. V. On the norm property of the Hilbert symbol for polynomial formal modules in a multidimensional local field. (English. Russian original) Zbl 1409.11108 Vestn. St. Petersbg. Univ., Math. 49, No. 4, 320-324 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 552-557 (2016). MSC: 11S31 11S70 PDF BibTeX XML Cite \textit{V. V. Volkov}, Vestn. St. Petersbg. Univ., Math. 49, No. 4, 320--324 (2016; Zbl 1409.11108); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 552--557 (2016) Full Text: DOI OpenURL
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. (English) Zbl 1389.11133 Publ. Math. Debr. 88, No. 1-2, 93-117 (2016). Reviewer: Nikolai L. Manev (Sofia) MSC: 11R11 11R29 11R32 11R37 20F05 PDF BibTeX XML Cite \textit{A. Azizi} et al., Publ. Math. Debr. 88, No. 1--2, 93--117 (2016; Zbl 1389.11133) Full Text: DOI OpenURL
Vostokov, S. V.; Vostokova, R. P.; Podkopaeva, O. Yu. Degeneration of the Hilbert pairing in formal groups over local fields. (English) Zbl 1401.11152 Vestn. St. Petersbg. Univ., Math. 49, No. 1, 47-52 (2016) and Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 3(61), No. 1, 59-66 (2016). MSC: 11S31 14L05 PDF BibTeX XML Cite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 49, No. 1, 47--52 (2016; Zbl 1401.11152) Full Text: DOI OpenURL
Lemmermeyer, Franz Hilbert \(2\)-class fields and \(2\)-descent. (English) Zbl 1389.11135 Publ. Math. Debr. 88, No. 3-4, 319-343 (2016). Reviewer: Michael Pohst (Düsseldorf) MSC: 11R20 11R29 11G05 PDF BibTeX XML Cite \textit{F. Lemmermeyer}, Publ. Math. Debr. 88, No. 3--4, 319--343 (2016; Zbl 1389.11135) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed Group theory and the capitulation problem for some number fields. (English) Zbl 1417.11151 Gueye, Cheikh Thiécoumbe (ed.) et al., Non-associative and non-commutative algebra and operator theory. NANCAOT, Dakar, Senegal, May 23–25, 2014: workshop in honor of Professor Amin Kaidi. Cham: Springer. Springer Proc. Math. Stat. 160, 3-26 (2016). MSC: 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Springer Proc. Math. Stat. 160, 3--26 (2016; Zbl 1417.11151) Full Text: DOI OpenURL
Madunts, A. I.; Vostokova, R. P. Formal modules for generalized Lubin-Tate groups. (English. Russian original) Zbl 1371.11147 J. Math. Sci., New York 219, No. 4, 553-564 (2016); translation from Zap. Nauchn. Semin. POMI 435, 95-112 (2015). MSC: 11S31 PDF BibTeX XML Cite \textit{A. I. Madunts} and \textit{R. P. Vostokova}, J. Math. Sci., New York 219, No. 4, 553--564 (2016; Zbl 1371.11147); translation from Zap. Nauchn. Semin. POMI 435, 95--112 (2015) Full Text: DOI OpenURL
Zekhnini, Abdelkader; Azizi, Abdelmalek; Taous, Mohammed On some metabelian 2-groups and applications. III. (English) Zbl 1400.11137 Asian-Eur. J. Math. 9, No. 4, Article ID 1650072, 11 p. (2016). MSC: 11R11 11R29 11R32 11R37 20D15 PDF BibTeX XML Cite \textit{A. Zekhnini} et al., Asian-Eur. J. Math. 9, No. 4, Article ID 1650072, 11 p. (2016; Zbl 1400.11137) Full Text: DOI OpenURL
Koo, Ja Kyung; Yoon, Dong Sung Construction of class fields over cyclotomic fields. (English) Zbl 1407.11131 Kyoto J. Math. 56, No. 4, 803-829 (2016). MSC: 11R37 11F46 11G15 14H42 PDF BibTeX XML Cite \textit{J. K. Koo} and \textit{D. S. Yoon}, Kyoto J. Math. 56, No. 4, 803--829 (2016; Zbl 1407.11131) Full Text: DOI arXiv Euclid OpenURL
Kim, Henry H.; Yamauchi, Takuya A conditional construction of Artin representations for real analytic Siegel cusp forms of weight \((2,1)\). (English) Zbl 1418.11081 Jiang, Dihua (ed.) et al., Advances in the theory of automorphic forms and their \(L\)-functions. Workshop in honor of James Cogdell’s 60th birthday, Erwin Schrödinger Institute (ESI), University of Vienna, Vienna, Austria, October 16–25, 2013. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 664, 225-260 (2016). MSC: 11F46 11F70 11F55 11R39 PDF BibTeX XML Cite \textit{H. H. Kim} and \textit{T. Yamauchi}, Contemp. Math. 664, 225--260 (2016; Zbl 1418.11081) Full Text: DOI OpenURL
Ding, Yiwen \(\mathcal{L}\)-invariants and local-global compatibility for the group \(\mathrm{GL}_2/F\). (English) Zbl 1376.11082 Forum Math. Sigma 4, Paper No. e13, 49 p. (2016). Reviewer: Laurent Berger (Lyon) MSC: 11S37 11F80 11F85 14F30 11G18 11F41 PDF BibTeX XML Cite \textit{Y. Ding}, Forum Math. Sigma 4, Paper No. e13, 49 p. (2016; Zbl 1376.11082) Full Text: DOI arXiv OpenURL
Hsu, Catherine Two classes of number fields with a non-principal Euclidean ideal. (English) Zbl 1415.11159 Int. J. Number Theory 12, No. 4, 1123-1136 (2016). MSC: 11R29 11R16 11R80 PDF BibTeX XML Cite \textit{C. Hsu}, Int. J. Number Theory 12, No. 4, 1123--1136 (2016; Zbl 1415.11159) Full Text: DOI arXiv OpenURL
Nagano, A.; Shiga, H. To the Hilbert class field from the hypergeometric modular function. (English) Zbl 1401.11107 J. Number Theory 165, 408-430 (2016). MSC: 11G15 11F27 PDF BibTeX XML Cite \textit{A. Nagano} and \textit{H. Shiga}, J. Number Theory 165, 408--430 (2016; Zbl 1401.11107) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed Coclass of \(\mathrm{Gal}(\Bbbk_2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\) with 2-class groups of types (2,2,2). (English) Zbl 1335.11091 J. Algebra Appl. 15, No. 2, Article ID 1650027, 26 p. (2016). Reviewer: John D. Dixon (Ottawa) MSC: 11R16 11R11 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., J. Algebra Appl. 15, No. 2, Article ID 1650027, 26 p. (2016; Zbl 1335.11091) Full Text: DOI OpenURL
Underwood, Robert G. Fundamentals of modern algebra. A global perspective. (English) Zbl 1333.00006 Hackensack, NJ: World Scientific (ISBN 978-981-4730-28-0/hbk). x, 220 p. (2016). Reviewer: Mihai Cipu (Bucureşti) MSC: 00A05 12-01 13-01 20-01 PDF BibTeX XML Cite \textit{R. G. Underwood}, Fundamentals of modern algebra. A global perspective. Hackensack, NJ: World Scientific (2016; Zbl 1333.00006) Full Text: DOI OpenURL
Wang, Victor Y. On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields. (English) Zbl 1334.11085 J. Number Theory 160, 492-515 (2016). Reviewer: Alessandro Cobbe (Neubiberg) MSC: 11R37 11R29 11R32 11R11 PDF BibTeX XML Cite \textit{V. Y. Wang}, J. Number Theory 160, 492--515 (2016; Zbl 1334.11085) Full Text: DOI arXiv OpenURL
Oh, Jangheon On the anticyclotomic \(\mathbb Z_p\)-extension of an imaginary quadratic field. (English) Zbl 1433.11125 Korean J. Math. 23, No. 3, 323-326 (2015). MSC: 11R23 PDF BibTeX XML Cite \textit{J. Oh}, Korean J. Math. 23, No. 3, 323--326 (2015; Zbl 1433.11125) Full Text: DOI OpenURL
Ivanov, M. A.; Vostokov, S. V. The skew-symmetric pairing on the Lubin-Tate formal module. (English) Zbl 1388.11079 Dieulefait, Luis (ed.) et al., Arithmetic and geometry. Proceedings of the research conference of the trimester, Bonn, Germany, April 15–19, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-46254-0/pbk; 978-1-316-10687-7/ebook). London Mathematical Society Lecture Note Series 420, 255-263 (2015). MSC: 11S31 11G07 PDF BibTeX XML Cite \textit{M. A. Ivanov} and \textit{S. V. Vostokov}, Lond. Math. Soc. Lect. Note Ser. 420, 255--263 (2015; Zbl 1388.11079) OpenURL
Wood, Melanie Machett; Yasuda, Takehiko Mass formulas for local Galois representations and quotient singularities. I: A comparison of counting functions. (English) Zbl 1387.11088 Int. Math. Res. Not. 2015, No. 23, 12590-12619 (2015). MSC: 11S20 11F80 11S31 PDF BibTeX XML Cite \textit{M. M. Wood} and \textit{T. Yasuda}, Int. Math. Res. Not. 2015, No. 23, 12590--12619 (2015; Zbl 1387.11088) Full Text: DOI arXiv OpenURL
Scholze, Peter On torsion in the cohomology of locally symmetric varieties. (English) Zbl 1345.14031 Ann. Math. (2) 182, No. 3, 945-1066 (2015). Reviewer: Gerd Faltings (Bonn) MSC: 14G20 11F46 11S37 14G35 11G18 22E50 PDF BibTeX XML Cite \textit{P. Scholze}, Ann. Math. (2) 182, No. 3, 945--1066 (2015; Zbl 1345.14031) Full Text: DOI arXiv OpenURL
Lynch, Rodney; Morton, Patrick The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields. (English) Zbl 1390.11064 Int. J. Number Theory 11, No. 6, 1961-2017 (2015). MSC: 11D25 11D41 11G15 11G05 PDF BibTeX XML Cite \textit{R. Lynch} and \textit{P. Morton}, Int. J. Number Theory 11, No. 6, 1961--2017 (2015; Zbl 1390.11064) Full Text: arXiv OpenURL
Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich Explicit form of the Hilbert symbol for polynomial formal groups. (English) Zbl 1369.11083 St. Petersbg. Math. J. 26, No. 5, 785-796 (2015); translation from Algebra Anal. 26, No. 5, 125-141 (2014). MSC: 11S31 14L05 PDF BibTeX XML Cite \textit{S. V. Vostokov} and \textit{V. V. Volkov}, St. Petersbg. Math. J. 26, No. 5, 785--796 (2015; Zbl 1369.11083); translation from Algebra Anal. 26, No. 5, 125--141 (2014) Full Text: DOI OpenURL
Shult, Ernest; Surowski, David Algebra. A teaching and source book. (English) Zbl 1346.00003 Cham: Springer (ISBN 978-3-319-19733-3/pbk; 978-3-319-19734-0/ebook). xxii, 539 p. (2015). Reviewer: Mihai Cipu (Bucureşti) MSC: 00A05 12-01 13-01 20-01 PDF BibTeX XML Cite \textit{E. Shult} and \textit{D. Surowski}, Algebra. A teaching and source book. Cham: Springer (2015; Zbl 1346.00003) Full Text: DOI OpenURL
Ouyang, Yi; Zhang, Zhe Hilbert genus fields of real biquadratic fields. (English) Zbl 1322.11117 Ramanujan J. 37, No. 2, 345-363 (2015). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11R11 11R29 PDF BibTeX XML Cite \textit{Y. Ouyang} and \textit{Z. Zhang}, Ramanujan J. 37, No. 2, 345--363 (2015; Zbl 1322.11117) Full Text: DOI OpenURL
Maire, Christian; McLeman, Cam On \(p^2\)-ranks in the class field tower problem. (\(p^2\)-rangs et \(p\)-tours de Hilbert.) (English. French summary) Zbl 1339.11090 Ann. Math. Blaise Pascal 21, No. 2, 57-68 (2014). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R34 11R37 PDF BibTeX XML Cite \textit{C. Maire} and \textit{C. McLeman}, Ann. Math. Blaise Pascal 21, No. 2, 57--68 (2014; Zbl 1339.11090) Full Text: DOI OpenURL
Azizi, Abdelmalek; Talbi, Mohammed Galois group for some class field. (English) Zbl 1324.11064 Miskolc Math. Notes 15, No. 2, 317-325 (2014). MSC: 11R27 11R37 11R16 PDF BibTeX XML Cite \textit{A. Azizi} and \textit{M. Talbi}, Miskolc Math. Notes 15, No. 2, 317--325 (2014; Zbl 1324.11064) OpenURL
Afanas’eva, S. S. The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. II. (English. Russian original) Zbl 1317.11123 J. Math. Sci., New York 202, No. 3, 346-359 (2014); translation from Zap. Nauchn. Semin. POMI 413, 26-44 (2013). Reviewer: Manabu Yoshida (Kumamoto) MSC: 11S31 11S70 PDF BibTeX XML Cite \textit{S. S. Afanas'eva}, J. Math. Sci., New York 202, No. 3, 346--359 (2014; Zbl 1317.11123); translation from Zap. Nauchn. Semin. POMI 413, 26--44 (2013) Full Text: DOI OpenURL
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\). (English) Zbl 1361.11063 Abh. Math. Semin. Univ. Hamb. 84, No. 2, 203-231 (2014). MSC: 11R11 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Abh. Math. Semin. Univ. Hamb. 84, No. 2, 203--231 (2014; Zbl 1361.11063) Full Text: DOI arXiv OpenURL
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On a capitulation problem over the field \(\mathbb {Q}(\sqrt {p_1p_2},\text{i})\) with elementary \(2\)-class group. (Sur un problème de capitulation du corps \(\mathbb {Q}(\sqrt {p_1p_2},\text{i})\) dont le \(2\)-groupe de classes est élémentaire.) (French. English summary) Zbl 1340.11088 Czech. Math. J. 64, No. 1, 11-29 (2014). Reviewer: Roland Quême (Brax) MSC: 11R29 11R37 11R27 PDF BibTeX XML Cite \textit{A. Azizi} et al., Czech. Math. J. 64, No. 1, 11--29 (2014; Zbl 1340.11088) Full Text: DOI OpenURL
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On the 2-class field tower of \(\mathbb Q (\sqrt{2p_1p_2},i)\) and the Galois group of its second Hilbert 2-class field. (English) Zbl 1338.11099 Collect. Math. 65, No. 1, 131-141 (2014). Reviewer: Alexey Zykin (Moskva) MSC: 11R29 11R27 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Collect. Math. 65, No. 1, 131--141 (2014; Zbl 1338.11099) Full Text: DOI OpenURL
Breuil, Christophe; Diamond, Fred Hilbert modular forms modulo \(p\) and values of extensions between Galois characters. (Formes modulaires de Hilbert modulo \(p\) et valeurs d’extensions entre caractères galoisiens.) (French. English summary) Zbl 1309.11046 Ann. Sci. Éc. Norm. Supér. (4) 47, No. 5, 905-974 (2014). Reviewer: Davide Lombardo (Orsay) MSC: 11F80 11F41 11S37 22E50 PDF BibTeX XML Cite \textit{C. Breuil} and \textit{F. Diamond}, Ann. Sci. Éc. Norm. Supér. (4) 47, No. 5, 905--974 (2014; Zbl 1309.11046) Full Text: DOI arXiv Link OpenURL