Edit Profile Stevenhagen, Peter Compute Distance To: Compute Author ID: stevenhagen.peter Published as: Stevenhagen, P.; Stevenhagen, Peter External Links: Wikidata Documents Indexed: 43 Publications since 1987, including 2 Books Reviewing Activity: 6 Reviews all top 5 Co-Authors 18 single-authored 7 Lenstra, Hendrik W. jun. 5 Moree, Pieter 4 Bröker, Reinier 3 Bosma, Wieb 2 Buhler, Joe P. 1 Angelakis, Athanasios 1 Cohen, Henri 1 Cox, David A. 1 Freeman, David F. 1 Gee, Alice 1 Howe, Everett W. 1 Lauter, Kristin Estella 1 McKay, John 1 Streng, Marco all top 5 Serials 4 Journal de Théorie des Nombres de Bordeaux 3 Mathematics of Computation 3 Acta Arithmetica 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 all top 5 Fields 41 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 255 times in 209 Documents Cited by ▼ Year ▼ Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 55 1996 Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535Stevenhagen, Peter 20 2001 Generating class fields using Shimura reciprocity. Zbl 0912.11045Gee, Alice; Stevenhagen, Peter 14 1998 The number of real quadratic fields having units of negative norm. Zbl 0792.11041Stevenhagen, Peter 14 1993 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 12 2014 Class number parity for the \(p\)th cyclotomic field. Zbl 0819.11050Stevenhagen, Peter 12 1994 Constructing elliptic curves of prime order. Zbl 1162.11028Bröker, Reinier; Stevenhagen, Peter 9 2008 The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078Stevenhagen, Peter 9 2003 Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054Stevenhagen, Peter 9 1993 A two-variable Artin conjecture. Zbl 0966.11042Moree, Pieter; Stevenhagen, Peter 8 2000 A density conjecture for the negative Pell equation. Zbl 0838.11066Stevenhagen, Peter 8 1995 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 6 2015 The arithmetic of number rings. Zbl 1216.11099Stevenhagen, Peter 6 2008 Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002Buhler, J. P. (ed.); Stevenhagen, P. (ed.) 6 2008 Abelian varieties with prescribed embedding degree. Zbl 1209.11056Freeman, David; Stevenhagen, Peter; Streng, Marco 6 2008 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 6 2004 Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072Angelakis, Athanasios; Stevenhagen, Peter 5 2013 Prime divisors of Lucas sequences. Zbl 0913.11048Moree, Pieter; Stevenhagen, Peter 5 1997 Ray class groups and governing fields. (Thesis). Zbl 0701.11056Stevenhagen, Peter 5 1989 On Aurifeuillian factorizations. Zbl 0635.10010Stevenhagen, Peter 5 1987 Density computations for real quadratic units. Zbl 0859.11064Bosma, Wieb; Stevenhagen, Peter 4 1996 Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056Lenstra, H. W. jun.; Stevenhagen, P. 4 1991 Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022Bröker, Reinier; Stevenhagen, Peter 3 2007 Elliptic curves with a given number of points. Zbl 1207.11065Bröker, Reinier; Stevenhagen, Peter 3 2004 Prime divisors of the Lagarias sequence. Zbl 1064.11013Moree, Pieter; Stevenhagen, Peter 3 2001 On the computation of quadratic 2-class groups. Zbl 0870.11080Bosma, Wieb; Stevenhagen, Peter 3 1996 On a problem of Eisenstein. Zbl 0851.11058Stevenhagen, Peter 3 1996 Computing higher rank primitive root densities. Zbl 1353.11105Moree, P.; Stevenhagen, P. 2 2014 Computational class field theory. Zbl 1177.11095Cohen, Henri; Stevenhagen, Peter 2 2008 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 2 2000 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Rédei-matrices and applications. Zbl 0830.11039Stevenhagen, Peter 2 1995 Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519Bosma, Wieb; Stevenhagen, Peter 1 1994 Unramified class field theory for orders. Zbl 0672.12005Stevenhagen, Peter 1 1989 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 6 2015 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 12 2014 Computing higher rank primitive root densities. Zbl 1353.11105Moree, P.; Stevenhagen, P. 2 2014 Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072Angelakis, Athanasios; Stevenhagen, Peter 5 2013 Constructing elliptic curves of prime order. Zbl 1162.11028Bröker, Reinier; Stevenhagen, Peter 9 2008 The arithmetic of number rings. Zbl 1216.11099Stevenhagen, Peter 6 2008 Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002Buhler, J. P. (ed.); Stevenhagen, P. (ed.) 6 2008 Abelian varieties with prescribed embedding degree. Zbl 1209.11056Freeman, David; Stevenhagen, Peter; Streng, Marco 6 2008 Computational class field theory. Zbl 1177.11095Cohen, Henri; Stevenhagen, Peter 2 2008 Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022Bröker, Reinier; Stevenhagen, Peter 3 2007 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 6 2004 Elliptic curves with a given number of points. Zbl 1207.11065Bröker, Reinier; Stevenhagen, Peter 3 2004 The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078Stevenhagen, Peter 9 2003 Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535Stevenhagen, Peter 20 2001 Prime divisors of the Lagarias sequence. Zbl 1064.11013Moree, Pieter; Stevenhagen, Peter 3 2001 A two-variable Artin conjecture. Zbl 0966.11042Moree, Pieter; Stevenhagen, Peter 8 2000 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 2 2000 Generating class fields using Shimura reciprocity. Zbl 0912.11045Gee, Alice; Stevenhagen, Peter 14 1998 Prime divisors of Lucas sequences. Zbl 0913.11048Moree, Pieter; Stevenhagen, Peter 5 1997 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 55 1996 Density computations for real quadratic units. Zbl 0859.11064Bosma, Wieb; Stevenhagen, Peter 4 1996 On the computation of quadratic 2-class groups. Zbl 0870.11080Bosma, Wieb; Stevenhagen, Peter 3 1996 On a problem of Eisenstein. Zbl 0851.11058Stevenhagen, Peter 3 1996 A density conjecture for the negative Pell equation. Zbl 0838.11066Stevenhagen, Peter 8 1995 Rédei-matrices and applications. Zbl 0830.11039Stevenhagen, Peter 2 1995 Class number parity for the \(p\)th cyclotomic field. Zbl 0819.11050Stevenhagen, Peter 12 1994 Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519Bosma, Wieb; Stevenhagen, Peter 1 1994 The number of real quadratic fields having units of negative norm. Zbl 0792.11041Stevenhagen, Peter 14 1993 Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054Stevenhagen, Peter 9 1993 Primes of degree one and algebraic cases of Čebotarev’s theorem. Zbl 0744.11056Lenstra, H. W. jun.; Stevenhagen, P. 4 1991 Ray class groups and governing fields. (Thesis). Zbl 0701.11056Stevenhagen, Peter 5 1989 Unramified class field theory for orders. Zbl 0672.12005Stevenhagen, Peter 1 1989 On Aurifeuillian factorizations. Zbl 0635.10010Stevenhagen, Peter 5 1987 all cited Publications top 5 cited Publications all top 5 Cited by 289 Authors 10 Jung, Ho Yun 10 Koo, Jakyung 10 Moree, Pieter 10 Shin, Dong Hwa 10 Stevenhagen, Peter 7 Ichimura, Humio 4 Bernstein, Daniel Julius 4 Cornelissen, Gunther 3 Bröker, Reinier 3 Enge, Andreas 3 Felix, Adam Tyler 3 Fujima, Shoichi 3 Jorgenson, Jay Alan 3 Kim, Chang Heon 3 Kontogeorgis, Aristides I. 3 Krahmer, Felix 3 Lauter, Kristin Estella 3 Milovic, Djordjo Z. 3 Mixon, Dustin G. 3 Shaska, Tanush 3 Smajlović, Lejla 3 Smit, Harry 3 Sutherland, Andrew V. 2 Bandeira, Afonso S. 2 Bosma, Wieb 2 Breuer, Florian 2 Chamizo Lorente, Fernando 2 Chan, Heng Huat 2 Gras, Georges 2 Guralnick, Robert Michael 2 Howe, Everett W. 2 Hurley, Ted 2 Jedrzejak, Tomasz 2 Karemaker, Valentijn 2 Konstantinou, Elisavet 2 Kutyniok, Gitta 2 Lange, Tanja 2 Lemmermeyer, Franz Josef 2 Lemvig, Jakob 2 Li, Xin 2 Malmendier, Andreas 2 Marcolli, Matilde 2 Meshulam, Roy 2 Morain, François 2 Murty, Maruti Ram 2 Pappalardi, Francesco 2 Peters, Christiane 2 Pollack, Paul 2 Sha, Min 2 Susa, Andrea 2 Then, Holger 2 Yoon, Dong Sung 2 Yue, Qin 1 Ahn, Jeoung-Hwan 1 Akbary, Amir 1 Alexeev, Boris V. 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 Ballot, Christian 1 Banakh, Taras Onufrievich 1 Barreal, Amaro 1 Basilla, Julius Magalona 1 Belabas, Karim 1 Benedetto, John J. 1 Benedetto, Robert L. 1 Bengoechea, Paloma 1 Berkovich, Alex 1 Birkner, Peter 1 Blomer, Valentin 1 Boxall, John L. 1 Bremner, David 1 Brent, Richard Peirce 1 Bridy, Andrew 1 Cahill, Jameson 1 Caicedo, Andrés Eduardo 1 Candelas, Philip 1 Carella, Nelson A. 1 Chan, Timothy Moon-Yew 1 Chartier, Thomas A. C. 1 Chevardin, V. E. 1 Cho, Bumkyu 1 Chuang, Chih-Yun 1 Cilleruelo, Javier 1 Clark, Peter Louis 1 Cordwell, Katherine 1 Cornacchia, Pietro 1 Corrales-Rodrigáñez, Capi 1 Corry, Leo 1 Daniels, Harris B. 1 de la Ossa, Xenia C. 1 de Smit, Bart 1 Delmastro, Diego 1 Demaine, Erik D. 1 Diaconis, Persi Warren 1 Dose, Valerio ...and 189 more Authors all top 5 Cited in 93 Serials 23 Journal of Number Theory 18 Mathematics of Computation 13 Journal de Théorie des Nombres de Bordeaux 6 International Journal of Number Theory 5 Acta Arithmetica 5 Finite Fields and their Applications 5 The Ramanujan Journal 4 Advances in Mathematics 4 Transactions of the American Mathematical Society 3 Functiones et Approximatio. Commentarii Mathematici 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 The Journal of Fourier Analysis and Applications 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Archiv der Mathematik 2 Compositio Mathematica 2 Journal of Algebra 2 Journal of the Korean Mathematical Society 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 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 Algebraic Combinatorics 2 Journal of Mathematical Sciences (New York) 2 Documenta Mathematica 2 Mathematical Journal of Ibaraki University 2 LMS Journal of Computation and Mathematics 2 Journal of High Energy Physics 2 Research in Number Theory 1 Discrete Applied Mathematics 1 Discrete Mathematics 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 Rocky Mountain Journal of Mathematics 1 Annales de l’Institut Fourier 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Mathematika 1 Osaka Journal of Mathematics 1 Theoretical Computer Science 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Algorithmica 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Journal of Cryptology 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 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 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 The New York Journal of Mathematics 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 Albanian Journal of Mathematics 1 Science in Context 1 Science China. Mathematics 1 International Journal of Group Theory 1 Research in the Mathematical Sciences 1 Open Mathematics 1 PUMP Journal of Undergraduate Research 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 31 Fields 169 Number theory (11-XX) 36 Algebraic geometry (14-XX) 24 Information and communication theory, circuits (94-XX) 17 Group theory and generalizations (20-XX) 12 Combinatorics (05-XX) 9 Computer science (68-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Field theory and polynomials (12-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Abstract harmonic analysis (43-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 2 Functional analysis (46-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 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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