Edit Profile (opens in new tab) Kučera, Radan Co-Author Distance Author ID: kucera.radan Published as: Kučera, Radan Homepage: https://www.muni.cz/en/people/59-radan-kucera External Links: ResearchGate · Math-Net.Ru Documents Indexed: 42 Publications since 1986, including 4 Books 1 Contribution as Editor Reviewing Activity: 51 Reviews Co-Authors: 16 Co-Authors with 23 Joint Publications 284 Co-Co-Authors all top 5 Co-Authors 20 single-authored 12 Greither, Cornelius 4 Herman, Jiří 4 Šimša, Jaromír 1 Bernard, Olivier 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 all top 5 Serials 9 Journal of Number Theory 6 Acta Arithmetica 3 Annales de l’Institut Fourier 3 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 Mathematics of Computation 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 Debrecen 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 all top 5 Fields 41 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 119 times in 68 Documents Cited by ▼ Year ▼ On the parity of the class number of a biquadratic field. Zbl 0852.11065 Kučera, Radan 16 1995 On the Stickelberger ideal and circular units of a compositum of quadratic fields. Zbl 0840.11044 Kučera, Radan 15 1996 On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field. Zbl 0744.11052 Kučera, Radan 14 1992 Annihilators for the class group of a cyclic field of prime power degree. II. Zbl 1155.11054 Greither, Cornelius; Kučera, Radan 9 2006 Linear forms on Sinnott’s module. Zbl 1309.11079 Greither, Cornelius; Kučera, Radan 7 2014 Formulae for the relative class number of an imaginary abelian field in the form of a determinant. Zbl 1002.11079 Kučera, Radan 7 2001 Annihilators for the class group of a cyclic field of prime power degree. Zbl 1065.11089 Greither, Cornelius; Kučera, Radan 7 2004 Annihilators of minus class groups of imaginary Abelian fields. Zbl 1128.11050 Greither, Cornelius; Kučera, Radan 6 2007 Cyclotomic units in \(\mathbb Z_p\)-extensions. Zbl 0824.11071 Kučera, Radan; Nekovář, Jan 5 1995 Eigenspaces of the ideal class group. (Parties \(\chi\)-invariantes dans les groupes de classes.) Zbl 1315.11093 Greither, Cornelius; Kučera, Radan 4 2014 Annihilators for the class group of a cyclic field of prime power degree. III. Zbl 1374.11087 Greither, Cornelius; Kučera, Radan 4 2015 Circular units and class groups of abelian fields. Zbl 1103.11031 Kučera, Radan 4 2004 On bases of odd and even universal ordinary distributions. Zbl 0744.11051 Kučera, Radan 3 1992 On a certain subideal of the Stickelberger ideal of a cyclotomic field. Zbl 0629.12005 Kučera, Radan 2 1986 The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Zbl 1041.11074 Greither, Cornelius; Kučera, Radan 2 2002 Washington units, semispecial units, and annihilation of class groups. Zbl 1479.11186 Greither, Cornelius; Kučera, Radan 2 2021 On a conjecture concerning minus parts in the style of Gross. Zbl 1157.11042 Greither, Cornelius; Kučera, Radan 2 2008 Witt equivalence of cyclotomic fields. Zbl 0784.11014 Kučera, Radan; Szymiczek, Kazimierz 1 1992 The circular units and the Stickelberger ideal of a cyclotomic field revisited. Zbl 1358.11124 Kučera, Radan 1 2016 On the class number of a compositum of real quadratic fields: an approach via circular units. Zbl 1225.11141 Kučera, Radan 1 2008 On the Stickelberger ideal and circular units of some genus fields. Zbl 0992.11062 Kučera, Radan 1 2000 Equations and inequalities. Elementary problems and theorems in algebra and number theory. Translated from the second (1996) Czech edition by Karl Dilcher and revised by the authors. Zbl 1055.00006 Herman, Jiří; Kučera, Radan; Šimša, Jaromír 1 1999 A note on circular units in \(\mathbb Z_p\)-extensions. Zbl 1097.11053 Kučera, Radan 1 2003 Different groups of circular units of a compositum of real quadratic fields. Zbl 0807.11050 Kučera, Radan 1 1994 A short basis of the Stickelberger ideal of a cyclotomic field. Zbl 07782523 Bernard, Olivier; Kučera, Radan 1 2024 Revealing two cubic non-residues in a quadratic field locally. Zbl 1473.11195 Kučera, Radan 1 2018 Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field. Zbl 1443.11224 Chapdelaine, Hugo; Kučera, Radan 1 2019 A short basis of the Stickelberger ideal of a cyclotomic field. Zbl 07782523 Bernard, Olivier; Kučera, Radan 1 2024 Washington units, semispecial units, and annihilation of class groups. Zbl 1479.11186 Greither, Cornelius; Kučera, Radan 2 2021 Annihilators of the ideal class group of a cyclic extension of an imaginary quadratic field. Zbl 1443.11224 Chapdelaine, Hugo; Kučera, Radan 1 2019 Revealing two cubic non-residues in a quadratic field locally. Zbl 1473.11195 Kučera, Radan 1 2018 The circular units and the Stickelberger ideal of a cyclotomic field revisited. Zbl 1358.11124 Kučera, Radan 1 2016 Annihilators for the class group of a cyclic field of prime power degree. III. Zbl 1374.11087 Greither, Cornelius; Kučera, Radan 4 2015 Linear forms on Sinnott’s module. Zbl 1309.11079 Greither, Cornelius; Kučera, Radan 7 2014 Eigenspaces of the ideal class group. (Parties \(\chi\)-invariantes dans les groupes de classes.) Zbl 1315.11093 Greither, Cornelius; Kučera, Radan 4 2014 On a conjecture concerning minus parts in the style of Gross. Zbl 1157.11042 Greither, Cornelius; Kučera, Radan 2 2008 On the class number of a compositum of real quadratic fields: an approach via circular units. Zbl 1225.11141 Kučera, Radan 1 2008 Annihilators of minus class groups of imaginary Abelian fields. Zbl 1128.11050 Greither, Cornelius; Kučera, Radan 6 2007 Annihilators for the class group of a cyclic field of prime power degree. II. Zbl 1155.11054 Greither, Cornelius; Kučera, Radan 9 2006 Annihilators for the class group of a cyclic field of prime power degree. Zbl 1065.11089 Greither, Cornelius; Kučera, Radan 7 2004 Circular units and class groups of abelian fields. Zbl 1103.11031 Kučera, Radan 4 2004 A note on circular units in \(\mathbb Z_p\)-extensions. Zbl 1097.11053 Kučera, Radan 1 2003 The lifted root number conjecture for fields of prime degree over the rationals: an approach via trees and Euler systems. Zbl 1041.11074 Greither, Cornelius; Kučera, Radan 2 2002 Formulae for the relative class number of an imaginary abelian field in the form of a determinant. Zbl 1002.11079 Kučera, Radan 7 2001 On the Stickelberger ideal and circular units of some genus fields. Zbl 0992.11062 Kučera, Radan 1 2000 Equations and inequalities. Elementary problems and theorems in algebra and number theory. Translated from the second (1996) Czech edition by Karl Dilcher and revised by the authors. Zbl 1055.00006 Herman, Jiří; Kučera, Radan; Šimša, Jaromír 1 1999 On the Stickelberger ideal and circular units of a compositum of quadratic fields. Zbl 0840.11044 Kučera, Radan 15 1996 On the parity of the class number of a biquadratic field. Zbl 0852.11065 Kučera, Radan 16 1995 Cyclotomic units in \(\mathbb Z_p\)-extensions. Zbl 0824.11071 Kučera, Radan; Nekovář, Jan 5 1995 Different groups of circular units of a compositum of real quadratic fields. Zbl 0807.11050 Kučera, Radan 1 1994 On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic field. Zbl 0744.11052 Kučera, Radan 14 1992 On bases of odd and even universal ordinary distributions. Zbl 0744.11051 Kučera, Radan 3 1992 Witt equivalence of cyclotomic fields. Zbl 0784.11014 Kučera, Radan; Szymiczek, Kazimierz 1 1992 On a certain subideal of the Stickelberger ideal of a cyclotomic field. Zbl 0629.12005 Kučera, Radan 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 58 Authors 20 Kučera, Radan 8 Greither, Cornelius 5 Bulant, Michal 4 Azizi, Abdelmalek 4 Chems-Eddin, Mohamed Mahmoud 4 Mouhib, Ali 3 Zekhnini, Abdelkader 2 Ahn, Jaehyun 2 Bae, Sunghan 2 Belliard, Jean-Robert 2 Bernard, Olivier 2 Hirabayashi, Mikihito 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 Barbulescu, Razvan 1 Chapdelaine, Hugo 1 Chillali, Abdelhakim 1 Conrad, Marc 1 El Fadil, Lhoussain 1 Francírek, Pavel 1 Gärtner, Jochen 1 Gras, Georges 1 Hu, Yaohua 1 Jerrari, Idriss 1 Jiang, Tianzi 1 Kanemitsu, Shigeru 1 Klaška, Jiří 1 Kulkarni, Manisha V. 1 Kuribayashi, Izumi 1 Kuzumaki, Takako 1 Lesavourey, Andrea 1 Li, Chong 1 Li, Xin 1 Mahapatra, Nimish Kumar 1 Majumdar, Dipramit 1 Marko, František 1 Pandey, Prem Prakash 1 Polický, Zdeněk 1 Poulalion, Adrien 1 Ram, Mahesh Kumar 1 Rezzougui, Mohammed 1 Roux-Langlois, Adeline 1 Salami, Azar 1 Stucky, Pascal 1 Sury, Balasubramanian 1 Szymiczek, Kazimierz 1 Taniguchi, Tetsuya 1 Tuong-Huy Nguyen 1 Vallières, Daniel 1 Vauclair, David 1 Werl, Milan 1 Yang, Xiaoqi all top 5 Cited in 28 Serials 16 Journal of Number Theory 6 Mathematica Slovaca 5 Acta Mathematica et Informatica Universitatis Ostraviensis 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annales de l’Institut Fourier 3 Journal de Théorie des Nombres de Bordeaux 2 Acta Arithmetica 2 Canadian Journal of Mathematics 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales Mathématiques du Québec 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Soviet Mathematics 1 Nagoya Mathematical Journal 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 Journal of Global Optimization 1 Expositiones Mathematicae 1 The Ramanujan Journal 1 International Journal of Number Theory 1 Communications in Mathematics all top 5 Cited in 10 Fields 66 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year