Peter Stevenhagen

878 total citations
29 papers, 275 citations indexed

About

Peter Stevenhagen is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Peter Stevenhagen has authored 29 papers receiving a total of 275 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Geometry and Topology, 16 papers in Algebra and Number Theory and 12 papers in Mathematical Physics. Recurrent topics in Peter Stevenhagen's work include Algebraic Geometry and Number Theory (13 papers), Analytic Number Theory Research (9 papers) and Finite Group Theory Research (6 papers). Peter Stevenhagen is often cited by papers focused on Algebraic Geometry and Number Theory (13 papers), Analytic Number Theory Research (9 papers) and Finite Group Theory Research (6 papers). Peter Stevenhagen collaborates with scholars based in Netherlands, France and Germany. Peter Stevenhagen's co-authors include H. W. Lenstra, Joe Buhler, Pieter Moree, Wieb Bosma, John McKay and David A. Cox and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Bulletin of the London Mathematical Society.

In The Last Decade

Peter Stevenhagen

28 papers receiving 229 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Peter Stevenhagen Netherlands 9 154 125 78 76 70 29 275
A. Baker 4 192 1.2× 129 1.0× 57 0.7× 104 1.4× 43 0.6× 5 320
R. W. K. Odoni United Kingdom 11 197 1.3× 169 1.4× 86 1.1× 118 1.6× 86 1.2× 57 356
Javier Cilleruelo Spain 11 180 1.2× 199 1.6× 89 1.1× 89 1.2× 228 3.3× 74 422
Edward F. Schaefer United States 11 314 2.0× 67 0.5× 133 1.7× 130 1.7× 63 0.9× 17 423
M. Ram Murty Canada 12 334 2.2× 292 2.3× 99 1.3× 131 1.7× 104 1.5× 41 483
Jean-Louis Nicolas France 12 125 0.8× 303 2.4× 69 0.9× 90 1.2× 172 2.5× 50 411
John Loxton Australia 14 124 0.8× 191 1.5× 85 1.1× 145 1.9× 83 1.2× 47 444
R. J. Stroeker Netherlands 9 147 1.0× 91 0.7× 28 0.4× 42 0.6× 31 0.4× 23 220
Pieter Moree Germany 11 250 1.6× 362 2.9× 131 1.7× 108 1.4× 118 1.7× 87 500
Antal Balog Hungary 13 158 1.0× 298 2.4× 64 0.8× 85 1.1× 284 4.1× 54 464

Countries citing papers authored by Peter Stevenhagen

Since Specialization
Citations

This map shows the geographic impact of Peter Stevenhagen's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Peter Stevenhagen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Stevenhagen more than expected).

Fields of papers citing papers by Peter Stevenhagen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter Stevenhagen. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Peter Stevenhagen. The network helps show where Peter Stevenhagen may publish in the future.

Co-authorship network of co-authors of Peter Stevenhagen

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Stevenhagen. A scholar is included among the top collaborators of Peter Stevenhagen based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Stevenhagen. Peter Stevenhagen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Stevenhagen, Peter, et al.. (2023). Cyclic reduction densities for elliptic curves. Research in Number Theory. 9(3).
2.
Stevenhagen, Peter. (2018). Hilbert’s 12th Problem, Complex Multiplication and Shimura Reciprocity. Advanced studies in pure mathematics. 161–176. 14 indexed citations
3.
Buhler, Joe & Peter Stevenhagen. (2008). Algorithmic Number Theory. Lattices, Number Fields, Curves and Cryptography. Cambridge University Press eBooks. 39 indexed citations
4.
Stevenhagen, Peter. (2007). PRIME DENSITIES FOR SECOND ORDER TORSION SEQUENCES. 2 indexed citations
5.
Stevenhagen, Peter. (2003). The correction factor in Artin's primitive root conjecture. Journal de Théorie des Nombres de Bordeaux. 15(1). 383–391. 11 indexed citations
6.
Moree, Pieter & Peter Stevenhagen. (2001). Prime divisors of the Lagarias sequence. Journal de Théorie des Nombres de Bordeaux. 13(1). 241–251. 5 indexed citations
7.
Moree, Pieter & Peter Stevenhagen. (2000). A Two-Variable Artin Conjecture. Journal of Number Theory. 85(2). 291–304. 11 indexed citations
8.
Lenstra, H. W. & Peter Stevenhagen. (2000). Artin reciprocity and Mersenne primes. Leiden Repository (Leiden University). 1(1). 44–54. 1 indexed citations
9.
Moree, Pieter & Peter Stevenhagen. (1997). Prime divisors of Lucas sequences. Acta Arithmetica. 82(4). 403–410. 12 indexed citations
10.
Bosma, Wieb & Peter Stevenhagen. (1996). Density computations for real quadratic units. Mathematics of Computation. 65(215). 1327–1337. 3 indexed citations
11.
Stevenhagen, Peter, et al.. (1996). On the computation of quadratic 2 -class groups. Journal de Théorie des Nombres de Bordeaux. 8(2). 283–313. 1 indexed citations
12.
Stevenhagen, Peter. (1994). Class number parity for the $p$th cyclotomic field. Mathematics of Computation. 63(208). 773–773. 4 indexed citations
13.
Stevenhagen, Peter. (1994). Class Number Parity for the pth Cyclotomic Field. Mathematics of Computation. 63(208). 773–773. 15 indexed citations
14.
Stevenhagen, Peter. (1993). Divisibility by 2-Powers of Certain Quadratic Class Numbers. Journal of Number Theory. 43(1). 1–19. 14 indexed citations
15.
Stevenhagen, Peter. (1993). The Number of Real Quadratic Fields Having Units of Negative Norm. Experimental Mathematics. 2(2). 121–136. 18 indexed citations
16.
Lenstra, H. W. & Peter Stevenhagen. (1991). Primes of degree one and algebraic cases of fi Cebotarev's theorem.. Leiden Repository (Leiden University). 1 indexed citations
17.
Stevenhagen, Peter. (1989). Unramified Class Field Theory for Orders. Transactions of the American Mathematical Society. 311(2). 483–483. 2 indexed citations
18.
Stevenhagen, Peter. (1989). Ray class groups and governing fields. French digital mathematics library (Numdam). 1–93. 7 indexed citations
19.
Stevenhagen, Peter. (1988). Class groups and governing fields. UMI Dissertation Information Service eBooks. 4 indexed citations
20.
Stevenhagen, Peter. (1987). On Aurifeuillian factorizations. Indagationes Mathematicae (Proceedings). 90(4). 451–468. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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