Edit Profile (opens in new tab) Stevenhagen, Peter Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 289 times in 242 Documents Cited by ▼ Year ▼ Chebotarëv and his density theorem. Zbl 0885.11005Stevenhagen, P.; Lenstra, H. W. jun. 67 1996 Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535Stevenhagen, Peter 23 2001 The number of real quadratic fields having units of negative norm. Zbl 0792.11041Stevenhagen, Peter 15 1993 Character sums for primitive root densities. Zbl 1353.11104Lenstra, H. W. jun.; Moree, P.; Stevenhagen, P. 14 2014 Generating class fields using Shimura reciprocity. Zbl 0912.11045Gee, Alice; Stevenhagen, Peter 14 1998 Class number parity for the \(p\)th cyclotomic field. Zbl 0819.11050Stevenhagen, Peter 13 1994 A two-variable Artin conjecture. Zbl 0966.11042Moree, Pieter; Stevenhagen, Peter 10 2000 The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078Stevenhagen, Peter 10 2003 Divisibility by 2-powers of certain quadratic class numbers. Zbl 0767.11054Stevenhagen, Peter 9 1993 Constructing elliptic curves of prime order. Zbl 1162.11028Bröker, Reinier; Stevenhagen, Peter 8 2008 A density conjecture for the negative Pell equation. Zbl 0838.11066Stevenhagen, Peter 8 1995 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 7 2004 Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002 7 2008 On Aurifeuillian factorizations. Zbl 0635.10010Stevenhagen, Peter 6 1987 Abelian varieties with prescribed embedding degree. Zbl 1209.11056Freeman, David; Stevenhagen, Peter; Streng, Marco 6 2008 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 Efficient CM-constructions of elliptic curves over finite fields. Zbl 1127.14022Bröker, Reinier; Stevenhagen, Peter 5 2007 On a problem of Eisenstein. Zbl 0851.11058Stevenhagen, Peter 5 1996 Prime divisors of Lucas sequences. Zbl 0913.11048Moree, Pieter; Stevenhagen, Peter 5 1997 Imaginary quadratic fields with isomorphic abelian Galois groups. Zbl 1344.11072Angelakis, Athanasios; Stevenhagen, Peter 5 2013 Ray class groups and governing fields. (Thesis). Zbl 0701.11056Stevenhagen, Peter 5 1989 On the computation of quadratic 2-class groups. Zbl 0870.11080Bosma, Wieb; Stevenhagen, Peter 5 1996 Prime divisors of the Lagarias sequence. Zbl 1064.11013Moree, Pieter; Stevenhagen, Peter 4 2001 Elliptic curves with a given number of points. Zbl 1207.11065Bröker, Reinier; Stevenhagen, Peter 4 2004 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 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 3 2000 Computing higher rank primitive root densities. Zbl 1353.11105Moree, P.; Stevenhagen, P. 3 2014 Rédei-matrices and applications. Zbl 0830.11039Stevenhagen, Peter 2 1995 Class field theory and the first case of Fermat’s last theorem. Zbl 0891.11012Lenstra, H. W. jun.; Stevenhagen, P. 2 1997 Computational class field theory. Zbl 1177.11095Cohen, Henri; Stevenhagen, Peter 2 2008 Unramified class field theory for orders. Zbl 0672.12005Stevenhagen, Peter 1 1989 Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519Bosma, Wieb; Stevenhagen, Peter 1 1994 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. 14 2014 Computing higher rank primitive root densities. Zbl 1353.11105Moree, P.; Stevenhagen, P. 3 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 8 2008 Algorithmic number theory. Lattices, number fields, curves and cryptography. Zbl 1154.11002 7 2008 Abelian varieties with prescribed embedding degree. Zbl 1209.11056Freeman, David; Stevenhagen, Peter; Streng, Marco 6 2008 The arithmetic of number rings. Zbl 1216.11099Stevenhagen, Peter 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 5 2007 Principal moduli and class fields. Zbl 1047.11107Cox, David; McKay, John; Stevenhagen, Peter 7 2004 Elliptic curves with a given number of points. Zbl 1207.11065Bröker, Reinier; Stevenhagen, Peter 4 2004 The correction factor in Artin’s primitive root conjecture. Zbl 1043.11078Stevenhagen, Peter 10 2003 Hilbert’s 12th problem, complex multiplication and Shimura reciprocity. Zbl 1097.11535Stevenhagen, Peter 23 2001 Prime divisors of the Lagarias sequence. Zbl 1064.11013Moree, Pieter; Stevenhagen, Peter 4 2001 A two-variable Artin conjecture. Zbl 0966.11042Moree, Pieter; Stevenhagen, Peter 10 2000 Artin reciprocity and Mersenne primes. Zbl 1011.11006Lenstra, H. W. jun.; Stevenhagen, P. 3 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. 67 1996 On a problem of Eisenstein. Zbl 0851.11058Stevenhagen, Peter 5 1996 On the computation of quadratic 2-class groups. Zbl 0870.11080Bosma, Wieb; Stevenhagen, Peter 5 1996 Density computations for real quadratic units. Zbl 0859.11064Bosma, Wieb; Stevenhagen, Peter 4 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 13 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 15 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 6 1987 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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