Mayer, Daniel C. Bicyclic commutator quotients with one non-elementary component. (English) Zbl 07729570 Math. Bohem. 148, No. 2, 149-180 (2023). MSC: 11R37 11R32 11R11 11R20 11R29 11Y40 20D15 20E18 20E22 20F05 20F12 20F14 PDF BibTeX XML Cite \textit{D. C. Mayer}, Math. Bohem. 148, No. 2, 149--180 (2023; Zbl 07729570) Full Text: DOI arXiv
Chems-Eddin, Mohamed Mahmoud; Hajjami, Moulay Ahmed; Taous, Mohammed Hilbert genus fields of some number fields with high degrees. (English) Zbl 1515.11110 Acta Math. Vietnam. 48, No. 2, 359-369 (2023). MSC: 11R16 11R29 11R27 11R04 11R37 PDF BibTeX XML Cite \textit{M. M. Chems-Eddin} et al., Acta Math. Vietnam. 48, No. 2, 359--369 (2023; Zbl 1515.11110) Full Text: DOI arXiv
Haynou, Mbarek; Sodaïgui, Bouchaïb; Taous, Mohammed The 2-rank of the real pure quartic number field \(K= \mathbb{Q}(\sqrt[4]{pd^{2}})\). (English) Zbl 07690297 Rocky Mt. J. Math. 53, No. 1, 27-48 (2023). MSC: 11R16 11R29 11R37 PDF BibTeX XML Cite \textit{M. Haynou} et al., Rocky Mt. J. Math. 53, No. 1, 27--48 (2023; Zbl 07690297) Full Text: DOI Link
Dasgupta, Samit; Kakde, Mahesh On the Brumer-Stark conjecture. (English) Zbl 07623025 Ann. Math. (2) 197, No. 1, 289-388 (2023). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R29 11R42 PDF BibTeX XML Cite \textit{S. Dasgupta} and \textit{M. Kakde}, Ann. Math. (2) 197, No. 1, 289--388 (2023; Zbl 07623025) Full Text: DOI arXiv
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
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
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
Kulkarni, Kaivalya R.; Levin, Aaron Hilbert’s irreducibility theorem and ideal class groups of quadratic fields. (English) Zbl 1515.11113 Acta Arith. 205, No. 4, 371-380 (2022). Reviewer: Francesco Battistoni (Milano) MSC: 11R29 12E25 PDF BibTeX XML Cite \textit{K. R. Kulkarni} and \textit{A. Levin}, Acta Arith. 205, No. 4, 371--380 (2022; Zbl 1515.11113) Full Text: DOI arXiv
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek Unit groups of some multiquadratic number fields of degree 16. (English) Zbl 1514.11070 São Paulo J. Math. Sci. 16, No. 2, 1091-1096 (2022). Reviewer: Artūras Dubickas (Vilnius) 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 1514.11070) Full Text: DOI
Ibukiyama, Tomoyoshi Supersingular abelian varieties and quaternion Hermitian lattices. (English) Zbl 1499.11177 RIMS Kôkyûroku Bessatsu B90, 17-37 (2022). MSC: 11E41 14K15 11G10 11F46 PDF BibTeX XML Cite \textit{T. Ibukiyama}, RIMS Kôkyûroku Bessatsu B90, 17--37 (2022; Zbl 1499.11177) Full Text: Link
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
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). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11C08 11R09 37P05 37P15 PDF BibTeX XML Cite \textit{P. Morton} and \textit{S. Raianu}, J. Number Theory 240, 685--729 (2022; Zbl 07567849) Full Text: DOI arXiv
Chems-Eddin, Mohamed Mahmoud Unit groups of some multiquadratic number fields and 2-class groups. (English) Zbl 1513.11178 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 1513.11178) Full Text: DOI arXiv
Hofer, Martin; Kleine, Sören On two conjectures of Gross for large vanishing orders. (English) Zbl 1505.11142 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 1505.11142) Full Text: DOI arXiv
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
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
Mardešić, Pavao; Novikov, Dmitry; Ortiz-Bobadilla, Laura; Pontigo-Herrera, Jessie Nilpotence of orbits under monodromy and the length of Melnikov functions. (English) Zbl 1493.37057 Physica D 427, Article ID 133017, 6 p. (2021). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 37F75 34C05 34C07 34C08 PDF BibTeX XML Cite \textit{P. Mardešić} et al., Physica D 427, Article ID 133017, 6 p. (2021; Zbl 1493.37057) Full Text: DOI
Duke, William; Imamoḡlu, Özlem; Tóth, Árpad On a class number formula of Hurwitz. (English) Zbl 1495.11055 J. Eur. Math. Soc. (JEMS) 23, No. 12, 3995-4008 (2021). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E41 11E16 11E45 11R42 11M36 13D40 PDF BibTeX XML Cite \textit{W. Duke} et al., J. Eur. Math. Soc. (JEMS) 23, No. 12, 3995--4008 (2021; Zbl 1495.11055) Full Text: DOI
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
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
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
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
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
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
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
Deshouillers, J.-M.; Gun, S.; Sivaraman, J. On Euclidean ideal classes in certain abelian extensions. (English) Zbl 1485.11154 Math. Z. 296, No. 1-2, 847-859 (2020). Reviewer: James E. Carter (Charleston) MSC: 11R20 11R29 11N36 PDF BibTeX XML Cite \textit{J. M. Deshouillers} et al., Math. Z. 296, No. 1--2, 847--859 (2020; Zbl 1485.11154) Full Text: DOI
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
Kılıçer, Pınar; Lorenzo García, Elisa; Streng, Marco Primes dividing invariants of CM Picard curves. (English) Zbl 1496.14026 Can. J. Math. 72, No. 2, 480-504 (2020). MSC: 14H25 11G15 14H40 14H45 14K22 14Q05 PDF BibTeX XML Cite \textit{P. Kılıçer} et al., Can. J. Math. 72, No. 2, 480--504 (2020; Zbl 1496.14026) Full Text: DOI arXiv
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
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
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
Malinin, Dmitry On some integral representations of groups and global irreducibility. (English) Zbl 1446.20014 Int. J. Group Theory 7, No. 3, 81-94 (2018). MSC: 20C10 11R33 20G30 20C15 PDF BibTeX XML Cite \textit{D. Malinin}, Int. J. Group Theory 7, No. 3, 81--94 (2018; Zbl 1446.20014) Full Text: DOI
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)
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
Basu, S. Non-compact trace class operators and Schatten-class operators in \(p\)-adic Hilbert spaces. (English) Zbl 1451.46064 Escassut, Alain (ed.) et al., Advances in ultrametric analysis. 14th international conference on \(p\)-adic functional analysis, Université d’Auvergne, Aurillac, France, June 30 – July 4, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 704, 37-48 (2018). MSC: 46S10 40A05 PDF BibTeX XML Cite \textit{S. Basu}, Contemp. Math. 704, 37--48 (2018; Zbl 1451.46064) Full Text: DOI
Bilu, Yuri; Gillibert, Jean Chevalley-Weil theorem and subgroups of class groups. (English) Zbl 1411.11108 Isr. J. Math. 226, No. 2, 927-956 (2018). Reviewer: Ayberk Zeytin (Istanbul) MSC: 11R29 14H30 14G05 PDF BibTeX XML Cite \textit{Y. Bilu} and \textit{J. Gillibert}, Isr. J. Math. 226, No. 2, 927--956 (2018; Zbl 1411.11108) Full Text: DOI arXiv
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
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
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
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
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
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
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
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
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
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
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
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
Burungale, Ashay A.; Hida, Haruzo André-Oort conjecture and nonvanishing of central \(L\)-values over Hilbert class fields. (English) Zbl 1391.11078 Forum Math. Sigma 4, Paper No. e20, 26 p. (2016). Reviewer: Salman Abdulali (Greenville) MSC: 11G18 11F67 14G35 PDF BibTeX XML Cite \textit{A. A. Burungale} and \textit{H. Hida}, Forum Math. Sigma 4, Paper No. e20, 26 p. (2016; Zbl 1391.11078) Full Text: DOI
Eisenträger, Kirsten Constructing elliptic curves and curves of genus 2 over finite fields. (English) Zbl 1376.11052 Canteaut, Anne (ed.) et al., Contemporary developments in finite fields and applications. Based on the presentations at the 12th international conference on finite fields and their applications (Fq12), Saratoga Springs, NY, July 13–17, 2015. Hackensack, NJ: World Scientific (ISBN 978-981-4719-25-4/hbk; 978-981-4719-27-8/ebook). 48-61 (2016). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11G20 14H52 14H45 94A60 PDF BibTeX XML Cite \textit{K. Eisenträger}, in: Contemporary developments in finite fields and applications. Based on the presentations at the 12th international conference on finite fields and their applications (Fq12), Saratoga Springs, NY, July 13--17, 2015. Hackensack, NJ: World Scientific. 48--61 (2016; Zbl 1376.11052) Full Text: DOI Link
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
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
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
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
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)
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
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
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
Beneish, Lea; Larson, Hannah Traces of singular values of Hauptmoduln. (English) Zbl 1325.11038 Int. J. Number Theory 11, No. 3, 1027-1048 (2015). Reviewer: Baiying Liu (Princeton) MSC: 11F30 11R60 PDF BibTeX XML Cite \textit{L. Beneish} and \textit{H. Larson}, Int. J. Number Theory 11, No. 3, 1027--1048 (2015; Zbl 1325.11038) Full Text: DOI arXiv
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)
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
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
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
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\). (English) Zbl 1340.11086 Period. Math. Hung. 69, No. 2, 231-238 (2014). Reviewer: Nikolai L. Manev (Sofia) MSC: 11R11 11R29 11R32 11R37 PDF BibTeX XML Cite \textit{A. Azizi} et al., Period. Math. Hung. 69, No. 2, 231--238 (2014; Zbl 1340.11086) Full Text: DOI arXiv
Allen, Patrick B. Modularity of nearly ordinary 2-adic residually dihedral Galois representations. (English) Zbl 1302.11036 Compos. Math. 150, No. 8, 1235-1346 (2014). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11R39 PDF BibTeX XML Cite \textit{P. B. Allen}, Compos. Math. 150, No. 8, 1235--1346 (2014; Zbl 1302.11036) Full Text: DOI arXiv
Jung, Ho Yun; Koo, Ja Kyung; Shin, Dong Hwa On some arithmetic properties of Siegel functions. II. (English) Zbl 1354.11071 Forum Math. 26, No. 1, 25-57 (2014). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11F11 11F46 11Y40 PDF BibTeX XML Cite \textit{H. Y. Jung} et al., Forum Math. 26, No. 1, 25--57 (2014; Zbl 1354.11071) Full Text: DOI arXiv
Miller, John C. Class numbers of real cyclotomic fields of composite conductor. (English) Zbl 1300.11109 LMS J. Comput. Math. 17A, Spec. Iss., 404-417 (2014). Reviewer: Roland Quême (Brax) MSC: 11R18 11R29 11R37 11R80 11Y40 PDF BibTeX XML Cite \textit{J. C. Miller}, LMS J. Comput. Math. 17A, 404--417 (2014; Zbl 1300.11109) Full Text: DOI
Wakatsuki, Satoshi Congruences modulo 2 for dimensions of spaces of cusp forms. (English) Zbl 1296.11035 J. Number Theory 140, Part C, 169-180 (2014). MSC: 11F33 11F46 PDF BibTeX XML Cite \textit{S. Wakatsuki}, J. Number Theory 140, 169--180 (2014; Zbl 1296.11035) Full Text: DOI
Jung, Hwanyup Hilbert \(2\)-class field towers of real quadratic function fields. (English) Zbl 1294.11188 Commun. Korean Math. Soc. 29, No. 2, 219-226 (2014). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R11 11R58 PDF BibTeX XML Cite \textit{H. Jung}, Commun. Korean Math. Soc. 29, No. 2, 219--226 (2014; Zbl 1294.11188) Full Text: DOI Link
Azizi, Abdelmalek; Rezzougui, Mohammed 2-class fields towers of some imaginary biquadratic number fields. (English) Zbl 1392.11085 Int. Electron. J. Pure Appl. Math. 6, No. 3, 127-132 (2013). MSC: 11R27 11R37 PDF BibTeX XML Cite \textit{A. Azizi} and \textit{M. Rezzougui}, Int. Electron. J. Pure Appl. Math. 6, No. 3, 127--132 (2013; Zbl 1392.11085) Full Text: DOI Link
Afanas’eva, S. S.; Bekker, B. M.; Vostokov, S. V. The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. (English. Russian original) Zbl 1302.11093 J. Math. Sci., New York 192, No. 2, 137-153 (2013); translation from Zap. Nauchn. Sem. POMI 400, 20-49 (2012). MSC: 11S31 11S70 PDF BibTeX XML Cite \textit{S. S. Afanas'eva} et al., J. Math. Sci., New York 192, No. 2, 137--153 (2013; Zbl 1302.11093); translation from Zap. Nauchn. Sem. POMI 400, 20--49 (2012) Full Text: DOI
Böckle, Gebhard Galois representations. (English) Zbl 1351.11032 Arias-de-Reyna, Sara (ed.) et al., Special issue: Proceedings of the Winter School on Galois theory, Universtity of Luxembourg, Luxembourg, February 15–24, 2012. Vol. II. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication (ISBN 978-2-919940-09-7/pbk). Travaux Mathématiques 23, 5-35 (2013). MSC: 11F80 11F33 11F41 11F85 11G05 11S37 PDF BibTeX XML Cite \textit{G. Böckle}, Trav. Math. 23, 5--35 (2013; Zbl 1351.11032) Full Text: Link
Jung, Hwanyup Hilbert 2-class field towers of inert imaginary quadratic function fields. (English) Zbl 1295.11129 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 20, No. 2, 79-87 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R58 11R11 11R37 PDF BibTeX XML Cite \textit{H. Jung}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 20, No. 2, 79--87 (2013; Zbl 1295.11129) Full Text: DOI
Jung, Hwanyup Hilbert 2-class field towers of imaginary quadratic function fields. (English) Zbl 1368.11119 Bull. Korean Math. Soc. 50, No. 3, 1049-1060 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11R58 11R11 PDF BibTeX XML Cite \textit{H. Jung}, Bull. Korean Math. Soc. 50, No. 3, 1049--1060 (2013; Zbl 1368.11119) Full Text: DOI Link
Jorza, Andrei Galois representations for holomorphic Siegel modular forms. (English) Zbl 1298.11051 Math. Ann. 355, No. 1, 381-400 (2013). MSC: 11F80 11F46 11F70 11R39 PDF BibTeX XML Cite \textit{A. Jorza}, Math. Ann. 355, No. 1, 381--400 (2013; Zbl 1298.11051) Full Text: DOI
Jung, Hwanyup Hilbert \(\ell\)-class field towers of imaginary \(\ell\)-cyclic function fields. (English) Zbl 07673649 Korean J. Math. 20, No. 4, 477-483 (2012). MSC: 11R58 11R60 11R18 PDF BibTeX XML Cite \textit{H. Jung}, Korean J. Math. 20, No. 4, 477--483 (2012; Zbl 07673649) Full Text: DOI
Jung, Hwanyup Density of imaginary cubic function fields having infinite Hilbert 3-class field tower. (English) Zbl 1318.11151 Honam Math. J. 34, No. 4, 597-601 (2012). MSC: 11R58 11R60 11R18 PDF BibTeX XML Cite \textit{H. Jung}, Honam Math. J. 34, No. 4, 597--601 (2012; Zbl 1318.11151) Full Text: DOI
Wang, Lin; Xu, Mao-Zhi On algorithmic aspects of the \(\ell\)-torsion of Brauer groups. (English) Zbl 1274.11165 Quaest. Math. 35, No. 3, 297-312 (2012). MSC: 11R37 11R70 11S31 16K50 PDF BibTeX XML Cite \textit{L. Wang} and \textit{M.-Z. Xu}, Quaest. Math. 35, No. 3, 297--312 (2012; Zbl 1274.11165) Full Text: DOI
Abrashkin, Victor; Jenni, Ruth The field-of-norms functor and the Hilbert symbol for higher local fields. (English. French summary) Zbl 1286.11204 J. Théor. Nombres Bordx. 24, No. 1, 1-39 (2012). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11S31 11S20 11S70 PDF BibTeX XML Cite \textit{V. Abrashkin} and \textit{R. Jenni}, J. Théor. Nombres Bordx. 24, No. 1, 1--39 (2012; Zbl 1286.11204) Full Text: DOI arXiv Link
Bae, Sunghan; Hu, Su; Jung, Hwanyup The generalized Rédei-matrix for function fields. (English) Zbl 1292.11130 Finite Fields Appl. 18, No. 4, 760-780 (2012). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R58 11R65 PDF BibTeX XML Cite \textit{S. Bae} et al., Finite Fields Appl. 18, No. 4, 760--780 (2012; Zbl 1292.11130) Full Text: DOI
Ling, San; Ozdemir, Enver; Xing, Chaoping Constructing irreducible polynomials over finite fields. (English) Zbl 1277.11111 Math. Comput. 81, No. 279, 1663-1668 (2012). MSC: 11T06 11Y16 PDF BibTeX XML Cite \textit{S. Ling} et al., Math. Comput. 81, No. 279, 1663--1668 (2012; Zbl 1277.11111) Full Text: DOI
Bae, Sunghan; Kang, Pyung-Lyun 4-ranks of class groups of quadratic extensions of certain quadratic function fields. (English) Zbl 1320.11103 Commun. Korean Math. Soc. 27, No. 2, 223-231 (2012). MSC: 11R58 11R29 PDF BibTeX XML Cite \textit{S. Bae} and \textit{P.-L. Kang}, Commun. Korean Math. Soc. 27, No. 2, 223--231 (2012; Zbl 1320.11103) Full Text: DOI
Li, Yan; Hu, Su Capitulation problem for global function fields. (English) Zbl 1281.11097 Arch. Math. 97, No. 5, 413-421 (2011). MSC: 11R58 11A15 11R37 PDF BibTeX XML Cite \textit{Y. Li} and \textit{S. Hu}, Arch. Math. 97, No. 5, 413--421 (2011; Zbl 1281.11097) Full Text: DOI
Bae, Sunghan; Yue, Qin Hilbert genus fields of real biquadratic fields. (English) Zbl 1231.11126 Ramanujan J. 24, No. 2, 161-181 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11R16 11R37 11R58 PDF BibTeX XML Cite \textit{S. Bae} and \textit{Q. Yue}, Ramanujan J. 24, No. 2, 161--181 (2011; Zbl 1231.11126) Full Text: DOI
Sutherland, Andrew V. Computing Hilbert class polynomials with the Chinese remainder theorem. (English) Zbl 1231.11144 Math. Comput. 80, No. 273, 501-538 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11Y16 11G15 11G20 14H52 PDF BibTeX XML Cite \textit{A. V. Sutherland}, Math. Comput. 80, No. 273, 501--538 (2011; Zbl 1231.11144) Full Text: DOI arXiv
Leriche, Amandine Pólya fields and Pólya numbers. (English) Zbl 1474.11184 Actes Rencontres C.I.R.M. 2, No. 2, 21-26 (2010). MSC: 11R04 13F20 11R16 11R37 PDF BibTeX XML Cite \textit{A. Leriche}, Actes Rencontres C.I.R.M. 2, No. 2, 21--26 (2010; Zbl 1474.11184) Full Text: DOI
Masri, Riad CM cycles and nonvanishing of class group \(L\)-functions. (English) Zbl 1235.11103 Math. Res. Lett. 17, No. 4, 749-760 (2010). Reviewer: B. Z. Moroz (Bonn) MSC: 11R42 11G18 11F46 11R29 PDF BibTeX XML Cite \textit{R. Masri}, Math. Res. Lett. 17, No. 4, 749--760 (2010; Zbl 1235.11103) Full Text: DOI
Xie, Xiangdong; Chen, Fengde; Zhan, Qingyi Uniqueness of limit cycles for a class of cubic systems with two invariant straight lines. (English) Zbl 1229.34046 Discrete Dyn. Nat. Soc. 2010, Article ID 737068, 17 p. (2010). Reviewer: Klaus R. Schneider (Berlin) MSC: 34C05 34C07 PDF BibTeX XML Cite \textit{X. Xie} et al., Discrete Dyn. Nat. Soc. 2010, Article ID 737068, 17 p. (2010; Zbl 1229.34046) Full Text: DOI EuDML
Yue, Qin Genus fields of real biquadratic fields. (English) Zbl 1243.11108 Ramanujan J. 21, No. 1, 17-25 (2010). Reviewer: Bouchaïb Sodaïgui (Valenciennes) MSC: 11R37 11R20 PDF BibTeX XML Cite \textit{Q. Yue}, Ramanujan J. 21, No. 1, 17--25 (2010; Zbl 1243.11108) Full Text: DOI
Ding, Shanshan Smallest irreducible of the form \(x^2-dy^2\). (English) Zbl 1241.11131 Int. J. Number Theory 5, No. 3, 449-456 (2009). MSC: 11R58 11R37 11R29 11R45 PDF BibTeX XML Cite \textit{S. Ding}, Int. J. Number Theory 5, No. 3, 449--456 (2009; Zbl 1241.11131) Full Text: DOI arXiv
Azizi, Abdelmalek; Talbi, Mohammed Capitulation of 2-class ideals of \(\mathbb Q\left(\sqrt{-pq(2+\sqrt 2)}\right)\) where \(p\equiv q\equiv {\pm 5} \bmod 8\). (Capitulation des 2-classes d’idéaux de \(\mathbb Q \left(\sqrt{-pq(2+\sqrt 2)}\right)\) où \(p\equiv q\equiv {\pm 5} \bmod 8\).) (French) Zbl 1169.11046 Ann. Math. Blaise Pascal 16, No. 1, 57-69 (2009). Reviewer: Paul Buckingham (Edmonton) MSC: 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{A. Azizi} and \textit{M. Talbi}, Ann. Math. Blaise Pascal 16, No. 1, 57--69 (2009; Zbl 1169.11046) Full Text: DOI Numdam EuDML
McLeman, Cameron \(p\)-tower groups over quadratic imaginary number fields. (English) Zbl 1213.11189 Ann. Sci. Math. Qué. 32, No. 2, 199-209 (2008). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R37 11R11 PDF BibTeX XML Cite \textit{C. McLeman}, Ann. Sci. Math. Qué. 32, No. 2, 199--209 (2008; Zbl 1213.11189) Full Text: arXiv Link
Hallouin, Emmanuel; Perret, Marc On generators of the group \(\hat{H}^{-1}(\text{Gal}(L/K),E_L)\) in some abelian \(p\)-extension \(L/K\). (English) Zbl 1219.11168 Chaumine, Jean (ed.) et al., Algebraic geometry and its applications. Dedicated to Gilles Lachaud on his 60th birthday. Proceedings of the first SAGA conference, Papeete, France, May 7–11, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-342-3/hbk). Series on Number Theory and Its Applications 5, 273-283 (2008). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R37 20J06 PDF BibTeX XML Cite \textit{E. Hallouin} and \textit{M. Perret}, Ser. Number Theory Appl. 5, 273--283 (2008; Zbl 1219.11168) Full Text: DOI Link
Mazur, Barry; Rubin, Karl Growth of Selmer rank in nonabelian extensions of number fields. (English) Zbl 1151.11023 Duke Math. J. 143, No. 3, 437-461 (2008). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11G05 14G05 11R23 20C15 PDF BibTeX XML Cite \textit{B. Mazur} and \textit{K. Rubin}, Duke Math. J. 143, No. 3, 437--461 (2008; Zbl 1151.11023) Full Text: DOI arXiv
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1209.58007 Colloquium Publications. American Mathematical Society 55. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (ISBN 978-0-8218-4210-2/hbk). xxii, 785 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58B34 58-02 11-02 81-02 11G35 PDF BibTeX XML Cite \textit{A. Connes} and \textit{M. Marcolli}, Noncommutative geometry, quantum fields and motives. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (2008; Zbl 1209.58007)
Lorenz, Falko Levy, Silvio (ed.) Algebra. Volume II: Fields with structure, algebras and advanced topics. Transl. from the German by Silvio Levy. With the collaboration of the translator. (English) Zbl 1130.12001 Universitext. New York, NY: Springer (ISBN 978-0-387-72487-4/pbk). ix, 336 p. (2008). Reviewer: Werner Kleinert (Berlin) MSC: 12-01 13-01 16-01 20-01 11-01 PDF BibTeX XML Cite \textit{F. Lorenz} and \textit{S. Levy} (ed.), Algebra. Volume II: Fields with structure, algebras and advanced topics. Transl. from the German by Silvio Levy. With the collaboration of the translator. New York, NY: Springer (2008; Zbl 1130.12001) Full Text: DOI
Lai, K. F.; Vostokov, S. V. The Kneser relation and the Hilbert pairing in multidimensional local field. (English) Zbl 1157.11045 Math. Nachr. 280, No. 16, 1780-1797 (2007). Reviewer: Zhang Xianke (Beijing) MSC: 11S31 11S70 19F05 19F15 PDF BibTeX XML Cite \textit{K. F. Lai} and \textit{S. V. Vostokov}, Math. Nachr. 280, No. 16, 1780--1797 (2007; Zbl 1157.11045) Full Text: DOI
Taylor, Richard On the meromorphic continuation of degree two \(L\)-functions. (English) Zbl 1138.11051 Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 729-779 (2006). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R39 11F80 11G40 11F41 11F70 PDF BibTeX XML Cite \textit{R. Taylor}, Doc. Math. Extra Vol., 729--779 (2007; Zbl 1138.11051) Full Text: EuDML EMIS
Azizi, Abdelmalek; Mouhib, Ali Existence of biquadratic fields \(K\) for which the Galois group of the second Hilbert 2-class field with respect to \(K\) is semidihedral. (Sur l’existence des corps biquadratiques \(K\) dont le groupe de Galois du deuxième \(2\)-corps de classes de Hilbert par rapport à \(K\) est semi-diédral.) (French) Zbl 1122.11074 Arch. Math., Brno 41, No. 3, 253-263 (2005). Reviewer: Radan Kučera (Brno) MSC: 11R27 11R37 PDF BibTeX XML Cite \textit{A. Azizi} and \textit{A. Mouhib}, Arch. Math., Brno 41, No. 3, 253--263 (2005; Zbl 1122.11074) Full Text: EuDML EMIS
Urban, Eric On the \(p\)-adic Galois representations associated to the cuspidal representations of \(\text{GSp}_{4/\mathbb Q}\). (Sur les représentations \(p\)-adiques associées aux représentations cuspidales de \(\text{GSp}_{4/\mathbb Q}\).) (French) Zbl 1100.11017 Tilouine, Jacques (ed.) et al., Automorphic forms (II). The case of the group \(\text{GSp}(4)\). Paris: Société Mathématique de France (SMF) (ISBN 2-85629-184-8/pbk). Astérisque 302, 151-176 (2005). Reviewer: Laurent Berger (Bures-sur-Yvette) MSC: 11F46 11F80 11F85 14C15 14C17 11S37 PDF BibTeX XML Cite \textit{E. Urban}, Astérisque 302, 151--176 (2005; Zbl 1100.11017) Full Text: Link