Springer, Caleb Undecidability, unit groups, and some totally imaginary infinite extensions of \(\mathbb{Q}\). (English) Zbl 1471.11262 Proc. Am. Math. Soc. 148, No. 11, 4705-4715 (2020). Reviewer: Xavier Vidaux (Concepción) MSC: 11R04 11U05 11R80 11D99 03D35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achter, Jeffrey D. Split reductions of simple abelian varieties. (English) Zbl 1180.14046 Math. Res. Lett. 16, No. 2-3, 199-213 (2009). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14K02 11G10 11G15 11G25 11R18 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Okazaki, Ryotaro An elementary proof for a theorem of Thomas and Vasquez. (English) Zbl 0853.11087 J. Number Theory 55, No. 2, 197-208 (1995). Reviewer: R.Mollin (Calgary) MSC: 11R27 11R16 11R42 11R29 × Cite Format Result Cite Review PDF Full Text: DOI
Guerry, Graziella On the 2-component of the class group of certain cyclic extensions of degree \(2^ n\). (Sur la 2-composante du groupe des classes de certaines extensions cycliques de degré \(2^ n\).) (French) Zbl 0833.11054 J. Number Theory 53, No. 1, 159-172 (1995). Reviewer: T.Nguyen Quang Do (Besançon) MSC: 11R29 11R20 × Cite Format Result Cite Review PDF Full Text: DOI
Louboutin, Stéphane Real zeros of zeta-functions and lower bounds for class numbers. Application to upper bounds for discriminants of certain types of number fields. (Zéros réels des fonctions zêta et minorations de nombres de classes. Application à la majoration des discriminants de certains types de corps de nombres.) (French) Zbl 0846.11061 David, Sinnou (ed.), Séminaire de théorie des nombres, Paris, France, 1991-92. Boston, MA: Birkhäuser. Prog. Math. 116, 135-152 (1994). Reviewer: H.Yokoi (Iwasaki) MSC: 11R29 11R11 11R42 × Cite Format Result Cite Review PDF
Louboutin, Stéphane Lower bounds for relative class numbers of CM-fields. (English) Zbl 0795.11058 Proc. Am. Math. Soc. 120, No. 2, 425-434 (1994). MSC: 11R29 11R42 11R20 × Cite Format Result Cite Review PDF Full Text: DOI
Berthier, Th. Structure and generators of class groups of cyclic quartic fields over \(\mathbb{Q}\). Numerical tables. (Structure et générateurs du groupe des classes des corps quartiques cycliques sur \(\mathbb{Q}\). (Tables numériques).) (French) Zbl 0902.11057 Publ. Math. Fac. Sci. Besançon, Théor. Nombres Années 1992-93 - 1993-94, Exp. No. 7, 50 p. (1994). Reviewer: M.Pohst (Berlin) MSC: 11Y40 11-04 11R29 × Cite Format Result Cite Review PDF
Louboutin, Stéphane Lower bound for \(L(1,\chi)\) and determination of the principal totally imaginary sextic abelian fields. (Minoration au point 1 des fonctions \(L\) et détermination des corps sextiques abéliens totalement imaginaires principaux.) (French) Zbl 0761.11041 Acta Arith. 62, No. 2, 109-124 (1992). Reviewer: S.Louboutin (Caen) MSC: 11R42 11M20 11R29 11R20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Shastri, Parvati Witt groups of algebraic integers. (English) Zbl 0651.10014 J. Number Theory 30, No. 3, 243-266 (1988). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E81 11E12 × Cite Format Result Cite Review PDF Full Text: DOI
Diaz y Diaz, Francisco Petits discriminants des corps de nombres totalement imaginaires de degré 8. (Small discriminants of totally imaginary eight-degree number fields). (French) Zbl 0606.12005 J. Number Theory 25, 34-52 (1987). Reviewer: H.J.Godwin MSC: 11R23 11R21 × Cite Format Result Cite Review PDF Full Text: DOI
Naito, Hirotada On the ideal class groups of totally imaginary quadratic extensions. (English) Zbl 0582.12004 J. Fac. Sci., Univ. Tokyo, Sect. I A 32, 205-211 (1985). Reviewer: Delang Li MSC: 11R23 11R18 11R80 × Cite Format Result Cite Review PDF
Leep, David B. Systems of quadratic forms. (English) Zbl 0531.10023 J. Reine Angew. Math. 350, 109-116 (1984). MSC: 11E04 11E08 11E95 × Cite Format Result Cite Review PDF Full Text: DOI Crelle EuDML
Earnest, A. G.; Körner, O. H. On ideal class groups of 2-power exponent. (English) Zbl 0502.12005 Proc. Am. Math. Soc. 86, 196-198 (1982). MSC: 11R23 11R80 × Cite Format Result Cite Review PDF Full Text: DOI
Grayson, Daniel R. Dilogarithm computations for \(K_ 3\). (English) Zbl 0509.18017 Algebraic \(K\)-theory, Proc. Conf., Evanston 1980, Lect. Notes Math. 854, 168-178 (1981). MSC: 18F25 11S70 11R42 11R11 × Cite Format Result Cite Review PDF
Hamamura, Mitsuko On absolute class fields of certain algebraic number fields. (English) Zbl 0487.12009 Nat. Sci. Rep. Ochanomizu Univ. 32, 23-34 (1981). MSC: 11R37 11R20 11R80 11R29 × Cite Format Result Cite Review PDF
Diaz y Diaz, Francisco Tables minorant la racine \(n\)-ième du discriminant d’un corps de degré \(n\). (French) Zbl 0482.12003 Publ. Math. Orsay 80.06, 59 p. (1980). Reviewer: James H. Davenport (Bath) MSC: 11R29 11-04 11R80 × Cite Format Result Cite Review PDF
Shintani, Takuro On special values of zeta functions of totally real algebraic number fields. (English) Zbl 0426.12008 Proc. int. Congr. Math., Helsinki 1978, Vol. 2, 591-597 (1980). MSC: 11R42 11R23 11R80 33B15 11R11 × Cite Format Result Cite Review PDF
Martinet, Jacques Small discriminants. (Petits discriminants.) (French) Zbl 0387.12006 Ann. Inst. Fourier 29, No. 1, 159-170 (1979). Reviewer: Jacques Martinet (Talence) MSC: 11R29 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Blanksby, P. E.; Loxton, J. H. A note on the characterization of CM-fields. (English) Zbl 0413.12002 J. Aust. Math. Soc., Ser. A 26, 26-30 (1978). MSC: 11R06 11R21 11R80 11G15 × Cite Format Result Cite Review PDF
Friedlander, J. B. On the class numbers of certain quadratic extensions. (English) Zbl 0329.12011 Acta Arith. 28, 391-393 (1976). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R29 11R42 11R11 11R80 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Goldstein, Larry J.; de la Torre, Pilar On a function analogous to \(\log\eta(\tau)\). (English) Zbl 0335.10031 Nagoya Math. J. 59, 169-198 (1975). Reviewer: Veikko Ennola (Turku) MSC: 11F41 11R27 11R42 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Sunley, Judith S. Class numbers of totally imaginary quadratic extensions of totally real fields. (English) Zbl 0289.12010 Trans. Am. Math. Soc. 175, 209-232 (1973). Reviewer: Timo Lepistö (Tampere) MSC: 11R29 11R11 11R80 × Cite Format Result Cite Review PDF Full Text: DOI
Nagell, Trygve Sur la représentation de zéro par une somme de carrés dans un corps algébrique. (French) Zbl 0276.12004 Acta Arith. 24, 379-383 (1973). Reviewer: Sunder Lal (Chandigarh) MSC: 11D09 11R21 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Peters, Meinhard The level of orders of integers in algebraic number fields. (Die Stufe von Ordnungen ganzer Zahlen in algebraischen Zahlkörpern.) (German) Zbl 0217.04201 Math. Ann. 195, 309-314 (1972). Reviewer: Meinhard Peters (Münster) MSC: 11R11 12D15 11E04 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Draxl, P. K. J. The representation of \(-1\) as a sum of squares in the orders of an algebraic number field. (La représentation de \(-1\) comme somme de carrés dans les ordres d’un corps de nombres algébriques.) (French) Zbl 0233.12007 Journées Arithmétiques Françaises, Univ. Provence 1971, 10 p. (1971). MSC: 11R80 12D15 11E04 × Cite Format Result Cite Review PDF
Remak, Robert Über algebraische Zahlkörper mit schwachem Einheitsdefekt. (German) Zbl 0055.26805 Compos. Math. 12, 35-80 (1954). Reviewer: Hans Reichardt (Berlin) MSC: 11R80 11R29 11R27 11R11 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML