## Stevenhagen, Peter

Compute Distance To:
 Author ID: stevenhagen.peter Published as: Stevenhagen, Peter; Stevenhagen, P. External Links: Wikidata · IdRef · theses.fr
 Documents Indexed: 42 Publications since 1987 2 Contributions as Editor Reviewing Activity: 6 Reviews Co-Authors: 13 Co-Authors with 26 Joint Publications 474 Co-Co-Authors
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### Co-Authors

 18 single-authored 7 Lenstra, Hendrik W. jun. 5 Moree, Pieter 4 Bröker, Reinier 3 Bosma, Wieb 2 Angelakis, Athanasios 2 Buhler, Joe P. 1 Cohen, Henri 1 Cox, David A. 1 Gee, Alice 1 Howe, Everett W. 1 Lauter, Kristin Estella 1 McKay, John 1 Streng, Marco
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### Serials

 4 Acta Arithmetica 4 Journal de Théorie des Nombres de Bordeaux 3 Mathematics of Computation 2 Journal of Number Theory 2 Nieuw Archief voor Wiskunde. Vijfde Serie 2 Mathematical Sciences Research Institute Publications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Indagationes Mathematicae 1 Journal of Algebra 1 Transactions of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 LMS Journal of Computation and Mathematics
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### Fields

 42 Number theory (11-XX) 5 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Information and communication theory, circuits (94-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 289 times in 242 Documents Cited by Year
Chebotarëv and his density theorem. Zbl 0885.11005
Stevenhagen, P.; Lenstra, H. W. jun.
1996
Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535
Stevenhagen, Peter
2001
The number of real quadratic fields having units of negative norm. Zbl 0792.11041
Stevenhagen, Peter
1993
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
2014
Generating class fields using Shimura reciprocity. Zbl 0912.11045
Gee, Alice; Stevenhagen, Peter
1998
Class number parity for the $$p$$th cyclotomic field. Zbl 0819.11050
Stevenhagen, Peter
1994
A two-variable Artin conjecture. Zbl 0966.11042
Moree, Pieter; Stevenhagen, Peter
2000
The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078
Stevenhagen, Peter
2003
Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054
Stevenhagen, Peter
1993
Constructing elliptic curves of prime order. Zbl 1162.11028
Bröker, Reinier; Stevenhagen, Peter
2008
A density conjecture for the negative Pell equation. Zbl 0838.11066
Stevenhagen, Peter
1995
Principal moduli and class fields. Zbl 1047.11107
Cox, David; McKay, John; Stevenhagen, Peter
2004
Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002
2008
On Aurifeuillian factorizations. Zbl 0635.10010
Stevenhagen, Peter
1987
Abelian varieties with prescribed embedding degree. Zbl 1209.11056
Freeman, David; Stevenhagen, Peter; Streng, Marco
2008
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
2015
The arithmetic of number rings. Zbl 1216.11099
Stevenhagen, Peter
2008
Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022
Bröker, Reinier; Stevenhagen, Peter
2007
On a problem of Eisenstein. Zbl 0851.11058
Stevenhagen, Peter
1996
Prime divisors of Lucas sequences. Zbl 0913.11048
Moree, Pieter; Stevenhagen, Peter
1997
Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072
Angelakis, Athanasios; Stevenhagen, Peter
2013
Ray class groups and governing fields. (Thesis). Zbl 0701.11056
Stevenhagen, Peter
1989
On the computation of quadratic 2-class groups. Zbl 0870.11080
Bosma, Wieb; Stevenhagen, Peter
1996
Prime divisors of the Lagarias sequence. Zbl 1064.11013
Moree, Pieter; Stevenhagen, Peter
2001
Elliptic curves with a given number of points. Zbl 1207.11065
Bröker, Reinier; Stevenhagen, Peter
2004
Density computations for real quadratic units. Zbl 0859.11064
Bosma, Wieb; Stevenhagen, Peter
1996
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056
Lenstra, H. W. jun.; Stevenhagen, P.
1991
Artin reciprocity and Mersenne primes. Zbl 1011.11006
Lenstra, H. W. jun.; Stevenhagen, P.
2000
Computing higher rank primitive root densities. Zbl 1353.11105
Moree, P.; Stevenhagen, P.
2014
Rédei-matrices and applications. Zbl 0830.11039
Stevenhagen, Peter
1995
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012
Lenstra, H. W. jun.; Stevenhagen, P.
1997
Computational class field theory. Zbl 1177.11095
Cohen, Henri; Stevenhagen, Peter
2008
Unramified class field theory for orders. Zbl 0672.12005
Stevenhagen, Peter
1989
Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519
Bosma, Wieb; Stevenhagen, Peter
1994
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
2015
Character sums for primitive root densities. Zbl 1353.11104
Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P.
2014
Computing higher rank primitive root densities. Zbl 1353.11105
Moree, P.; Stevenhagen, P.
2014
Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072
Angelakis, Athanasios; Stevenhagen, Peter
2013
Constructing elliptic curves of prime order. Zbl 1162.11028
Bröker, Reinier; Stevenhagen, Peter
2008
Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002
2008
Abelian varieties with prescribed embedding degree. Zbl 1209.11056
Freeman, David; Stevenhagen, Peter; Streng, Marco
2008
The arithmetic of number rings. Zbl 1216.11099
Stevenhagen, Peter
2008
Computational class field theory. Zbl 1177.11095
Cohen, Henri; Stevenhagen, Peter
2008
Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022
Bröker, Reinier; Stevenhagen, Peter
2007
Principal moduli and class fields. Zbl 1047.11107
Cox, David; McKay, John; Stevenhagen, Peter
2004
Elliptic curves with a given number of points. Zbl 1207.11065
Bröker, Reinier; Stevenhagen, Peter
2004
The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078
Stevenhagen, Peter
2003
Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535
Stevenhagen, Peter
2001
Prime divisors of the Lagarias sequence. Zbl 1064.11013
Moree, Pieter; Stevenhagen, Peter
2001
A two-variable Artin conjecture. Zbl 0966.11042
Moree, Pieter; Stevenhagen, Peter
2000
Artin reciprocity and Mersenne primes. Zbl 1011.11006
Lenstra, H. W. jun.; Stevenhagen, P.
2000
Generating class fields using Shimura reciprocity. Zbl 0912.11045
Gee, Alice; Stevenhagen, Peter
1998
Prime divisors of Lucas sequences. Zbl 0913.11048
Moree, Pieter; Stevenhagen, Peter
1997
Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012
Lenstra, H. W. jun.; Stevenhagen, P.
1997
Chebotarëv and his density theorem. Zbl 0885.11005
Stevenhagen, P.; Lenstra, H. W. jun.
1996
On a problem of Eisenstein. Zbl 0851.11058
Stevenhagen, Peter
1996
On the computation of quadratic 2-class groups. Zbl 0870.11080
Bosma, Wieb; Stevenhagen, Peter
1996
Density computations for real quadratic units. Zbl 0859.11064
Bosma, Wieb; Stevenhagen, Peter
1996
A density conjecture for the negative Pell equation. Zbl 0838.11066
Stevenhagen, Peter
1995
Rédei-matrices and applications. Zbl 0830.11039
Stevenhagen, Peter
1995
Class number parity for the $$p$$th cyclotomic field. Zbl 0819.11050
Stevenhagen, Peter
1994
Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519
Bosma, Wieb; Stevenhagen, Peter
1994
The number of real quadratic fields having units of negative norm. Zbl 0792.11041
Stevenhagen, Peter
1993
Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054
Stevenhagen, Peter
1993
Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056
Lenstra, H. W. jun.; Stevenhagen, P.
1991
Ray class groups and governing fields. (Thesis). Zbl 0701.11056
Stevenhagen, Peter
1989
Unramified class field theory for orders. Zbl 0672.12005
Stevenhagen, Peter
1989
On Aurifeuillian factorizations. Zbl 0635.10010
Stevenhagen, Peter
1987
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### Cited by 327 Authors

 11 Jung, Ho Yun 11 Moree, Pieter 10 Koo, Jakyung 10 Shin, Dong Hwa 10 Stevenhagen, Peter 8 Ichimura, Humio 5 Milovic, Djordjo Z. 4 Bernstein, Daniel Julius 4 Cornelissen, Gunther 4 Fujima, Shoichi 4 Jorgenson, Jay Alan 4 Smajlović, Lejla 3 Bröker, Reinier 3 Enge, Andreas 3 Felix, Adam Tyler 3 Kim, Chang Heon 3 Kontogeorgis, Aristides I. 3 Krahmer, Felix 3 Lange, Tanja 3 Lauter, Kristin Estella 3 Mixon, Dustin G. 3 Pappalardi, Francesco 3 Shaska, Tanush 3 Smit, Harry 3 Sutherland, Andrew V. 3 Then, Holger 2 Bandeira, Afonso S. 2 Bosma, Wieb 2 Breuer, Florian 2 Castryck, Wouter 2 Chamizo Lorente, Fernando 2 Chan, Heng Huat 2 Chan, Stephanie 2 Garcia, Stephan Ramon 2 Gras, Georges 2 Guralnick, Robert Michael 2 Howe, Everett W. 2 Hurley, Ted 2 Järviniemi, Olli 2 Jedrzejak, Tomasz 2 Karemaker, Valentijn 2 Konstantinou, Elisavet 2 Koymans, Peter 2 Kutyniok, Gitta 2 Lemmermeyer, Franz Josef 2 Lemvig, Jakob 2 Luca, Florian 2 Malmendier, Andreas 2 Marcolli, Matilde 2 Meshulam, Roy 2 Morain, François 2 Murty, Maruti Ram 2 Panny, Lorenz 2 Peters, Christiane 2 Pollack, Paul 2 Sanna, Carlo 2 Sha, Min 2 Shparlinski, Igor E. 2 Susa, Andrea 2 Top, Jaap 2 Xiang, Qing 2 Xue, Jiangwei 2 Ye, Dongxi 2 Yoon, Dong Sung 2 Yu, Chia-Fu 2 Yue, Qin 1 Abdullah, Herish Omer 1 Ahn, Jeoung-Hwan 1 Akbary, Amir 1 Alexeev, Boris V. 1 Ali Mustafa, Andam 1 Allombert, Bill 1 Álvarez-Bermejo, José Antonio 1 Anglès, Bruno 1 Arias-de-Reyna, Sara 1 Armana, Cécile 1 Asveld, Peter R. J. 1 Bae, Sunghan 1 Bajpai, Jitendra 1 Ballot, Christian 1 Banakh, Taras Onufrievich 1 Barreal, Amaro 1 Basilla, Julius Magalona 1 Beinert, Robert 1 Belabas, Karim 1 Benedetto, John Joseph 1 Benedetto, Robert L. 1 Bengoechea, Paloma 1 Berkovich, Alex 1 Bhakta, Subham 1 Birkner, Peter 1 Blomer, Valentin 1 Boxall, John L. 1 Bremner, David 1 Brent, Richard Peirce 1 Bridy, Andrew 1 Bucur, Alina 1 Cahill, Jameson 1 Caicedo, Andrés Eduardo 1 Candelas, Philip ...and 227 more Authors
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### Cited in 100 Serials

 26 Journal of Number Theory 19 Mathematics of Computation 13 Journal de Théorie des Nombres de Bordeaux 7 The Ramanujan Journal 6 Acta Arithmetica 6 Finite Fields and their Applications 6 International Journal of Number Theory 5 Transactions of the American Mathematical Society 4 Advances in Mathematics 4 Functiones et Approximatio. Commentarii Mathematici 4 Proceedings of the American Mathematical Society 4 Research in Number Theory 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Journal of Algebra 3 Mathematische Annalen 3 Journal of Algebraic Combinatorics 3 The Journal of Fourier Analysis and Applications 3 Mathematical Journal of Ibaraki University 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Archiv der Mathematik 2 Compositio Mathematica 2 Indiana University Mathematics Journal 2 Journal of the Korean Mathematical Society 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 Journal of the Ramanujan Mathematical Society 2 Designs, Codes and Cryptography 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 The New York Journal of Mathematics 2 Documenta Mathematica 2 LMS Journal of Computation and Mathematics 2 Journal of High Energy Physics 2 Science China. Mathematics 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Manuscripta Mathematica 1 Mathematika 1 Osaka Journal of Mathematics 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Graphs and Combinatorics 1 Algorithmica 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of Cryptology 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 Computational Statistics 1 L’Enseignement Mathématique. 2e Série 1 Historia Mathematica 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Cybernetics and Systems Analysis 1 Applied and Computational Harmonic Analysis 1 Combinatorics, Probability and Computing 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Geometry & Topology 1 Revista Matemática Complutense 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 JP Journal of Algebra, Number Theory and Applications 1 African Diaspora Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Acta Mathematica Universitatis Ostraviensis 1 European Journal of Pure and Applied Mathematics 1 Uniform Distribution Theory 1 Albanian Journal of Mathematics 1 Science in Context 1 International Journal of Group Theory 1 Forum of Mathematics, Sigma 1 Research in the Mathematical Sciences 1 Open Mathematics 1 PUMP Journal of Undergraduate Research 1 Prikladnaya Diskretnaya Matematika
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### Cited in 35 Fields

 195 Number theory (11-XX) 40 Algebraic geometry (14-XX) 30 Information and communication theory, circuits (94-XX) 18 Group theory and generalizations (20-XX) 16 Combinatorics (05-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Computer science (68-XX) 7 Field theory and polynomials (12-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 History and biography (01-XX) 4 Abstract harmonic analysis (43-XX) 4 Quantum theory (81-XX) 3 Associative rings and algebras (16-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

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