# zbMATH — the first resource for mathematics

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 Documents Indexed: 41 Publications since 1986, including 5 Books Reviewing Activity: 51 Reviews
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#### Co-Authors

 20 single-authored 11 Greither, Cornelius 4 Herman, Jiří 4 Šimša, Jaromír 1 Bulant, Michal 1 Chapdelaine, Hugo 1 Gładki, Paweł 1 Hachami, Saïd 1 Koenigsmann, Jochen 1 Koprowski, Przemysław 1 Kubiś, Wiesław 1 Kuhlmann, Franz-Viktor 1 Mišík, Ladislav jun. 1 Nekovář, Jan 1 Salami, Azar 1 Szymiczek, Kazimierz
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#### Serials

 9 Journal of Number Theory 6 Acta Arithmetica 3 Annales de l’Institut Fourier 2 Canadian Journal of Mathematics 2 Mathematica Slovaca 2 Acta Mathematica et Informatica Universitatis Ostraviensis 2 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Annales des Sciences Mathématiques du Québec 1 Archivum Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Publicationes Mathematicae 1 Tatra Mountains Mathematical Publications 1 Journal de Théorie des Nombres de Bordeaux 1 Banach Center Publications 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
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#### Fields

 39 Number theory (11-XX) 5 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 90 times in 54 Documents Cited by Year
On the Stickelberger ideal and circular units of a compositum of quadratic fields. Zbl 0840.11044
1996
On the parity of the class number of a biquadratic field. Zbl 0852.11065
1995
On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field. Zbl 0744.11052
1992
Annihilators for the class group of a cyclic field of prime power degree. II. Zbl 1155.11054
2006
Formulae for the relative class number of an imaginary abelian field in the form of a determinant. Zbl 1002.11079
2001
Cyclotomic units in $$\mathbb Z_ p$$-extensions. Zbl 0824.11071
1995
Annihilators of minus class groups of imaginary Abelian fields. Zbl 1128.11050
2007
Linear forms on Sinnott’s module. Zbl 1309.11079
2014
Eigenspaces of the ideal class group. (Parties $$\chi$$-invariantes dans les groupes de classes.) Zbl 1315.11093
2014
Annihilators for the class group of a cyclic field of prime power degree. Zbl 1065.11089
2004
Circular units and class groups of abelian fields. Zbl 1103.11031
2004
On bases of odd and even universal ordinary distributions. Zbl 0744.11051
1992
On a conjecture concerning minus parts in the style of Gross. Zbl 1157.11042
2008
Annihilators for the class group of a cyclic field of prime power degree. III. Zbl 1374.11087
2015
On a certain subideal of the Stickelberger ideal of a cyclotomic field. Zbl 0629.12005
1986
On the Stickelberger ideal and circular units of some genus fields. Zbl 0992.11062
2000
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Zbl 1041.11074
2002
A note on circular units in $$\mathbb Z_p$$-extensions. Zbl 1097.11053
2003
Witt equivalence of cyclotomic fields. Zbl 0784.11014
1992
Different groups of circular units of a compositum of real quadratic fields. Zbl 0807.11050
1994
The circular units and the Stickelberger ideal of a cyclotomic field revisited. Zbl 1358.11124
2016
Revealing two cubic non-residues in a quadratic field locally. Zbl 06842065
2018
Revealing two cubic non-residues in a quadratic field locally. Zbl 06842065
2018
The circular units and the Stickelberger ideal of a cyclotomic field revisited. Zbl 1358.11124
2016
Annihilators for the class group of a cyclic field of prime power degree. III. Zbl 1374.11087
2015
Linear forms on Sinnott’s module. Zbl 1309.11079
2014
Eigenspaces of the ideal class group. (Parties $$\chi$$-invariantes dans les groupes de classes.) Zbl 1315.11093
2014
On a conjecture concerning minus parts in the style of Gross. Zbl 1157.11042
2008
Annihilators of minus class groups of imaginary Abelian fields. Zbl 1128.11050
2007
Annihilators for the class group of a cyclic field of prime power degree. II. Zbl 1155.11054
2006
Annihilators for the class group of a cyclic field of prime power degree. Zbl 1065.11089
2004
Circular units and class groups of abelian fields. Zbl 1103.11031
2004
A note on circular units in $$\mathbb Z_p$$-extensions. Zbl 1097.11053
2003
The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Zbl 1041.11074
2002
Formulae for the relative class number of an imaginary abelian field in the form of a determinant. Zbl 1002.11079
2001
On the Stickelberger ideal and circular units of some genus fields. Zbl 0992.11062
2000
On the Stickelberger ideal and circular units of a compositum of quadratic fields. Zbl 0840.11044
1996
On the parity of the class number of a biquadratic field. Zbl 0852.11065
1995
Cyclotomic units in $$\mathbb Z_ p$$-extensions. Zbl 0824.11071
1995
Different groups of circular units of a compositum of real quadratic fields. Zbl 0807.11050
1994
On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field. Zbl 0744.11052
1992
On bases of odd and even universal ordinary distributions. Zbl 0744.11051
1992
Witt equivalence of cyclotomic fields. Zbl 0784.11014
1992
On a certain subideal of the Stickelberger ideal of a cyclotomic field. Zbl 0629.12005
1986
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#### Cited by 36 Authors

 18 Kučera, Radan 6 Greither, Cornelius 5 Bulant, Michal 4 Mouhib, Ali 2 Ahn, Jaehyun 2 Azizi, Abdelmalek 2 Bae, Sunghan 2 Belliard, Jean-Robert 2 Jung, Hwanyup 2 Kim, Jaemoon 2 Kraemer, Pavel 2 Movahhedi, Abbas 2 Ryu, Jado 2 Skula, Ladislav 2 Trnková, Veronika 1 Agoh, Takashi 1 Chapdelaine, Hugo 1 Chems-Eddin, Mohamed Mahmoud 1 Conrad, Marc 1 Francírek, Pavel 1 Gärtner, Jochen 1 Gras, Georges 1 Jerrari, Idriss 1 Kanemitsu, Shigeru 1 Klaška, Jiří 1 Kuribayashi, Izumi 1 Kuzumaki, Takako 1 Marko, František 1 Polický, Zdeněk 1 Salami, Azar 1 Szymiczek, Kazimierz 1 Taniguchi, Tetsuya 1 Vallières, Daniel 1 Vauclair, David 1 Werl, Milan 1 Zekhnini, Abdelkader
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#### Cited in 22 Serials

 16 Journal of Number Theory 5 Mathematica Slovaca 5 Acta Mathematica et Informatica Universitatis Ostraviensis 3 Annales de l’Institut Fourier 3 Journal de Théorie des Nombres de Bordeaux 2 Mathematics of Computation 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Annales Mathématiques du Québec 1 Bulletin of the Australian Mathematical Society 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Soviet Mathematics 1 Nagoya Mathematical Journal 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 International Journal of Number Theory
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#### Cited in 6 Fields

 54 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX)