Frank Gerth

422 total citations
48 papers, 285 citations indexed

About

Frank Gerth is a scholar working on Geometry and Topology, Algebra and Number Theory and Artificial Intelligence. According to data from OpenAlex, Frank Gerth has authored 48 papers receiving a total of 285 indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Geometry and Topology, 25 papers in Algebra and Number Theory and 15 papers in Artificial Intelligence. Recurrent topics in Frank Gerth's work include Algebraic Geometry and Number Theory (33 papers), Analytic Number Theory Research (20 papers) and Coding theory and cryptography (15 papers). Frank Gerth is often cited by papers focused on Algebraic Geometry and Number Theory (33 papers), Analytic Number Theory Research (20 papers) and Coding theory and cryptography (15 papers). Frank Gerth collaborates with scholars based in United States and Austria. Frank Gerth's co-authors include S. W. Graham, Harold G. Diamond and Jeffrey D. Vaaler and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Frank Gerth

38 papers receiving 201 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Frank Gerth United States	9	220	139	121	75	72	48	285
A. G. Earnest United States	10	137 0.6×	125 0.9×	127 1.0×	49 0.7×	50 0.7×	33	254
Kurt Girstmair Austria	9	140 0.6×	132 0.9×	69 0.6×	45 0.6×	38 0.5×	58	221
Jerzy Browkin Poland	10	169 0.8×	74 0.5×	87 0.7×	37 0.5×	59 0.8×	32	223
Dennis R. Estes United States	9	173 0.8×	159 1.1×	67 0.6×	58 0.8×	40 0.6×	34	275
H. Heilbronn Canada	6	256 1.2×	211 1.5×	164 1.4×	123 1.6×	54 0.8×	12	378
H.-E. Richert Germany	9	91 0.4×	165 1.2×	56 0.5×	66 0.9×	30 0.4×	23	237
Jack Sonn Israel	8	211 1.0×	106 0.8×	87 0.7×	151 2.0×	58 0.8×	59	262
Kunrui Yu Hong Kong	8	192 0.9×	159 1.1×	99 0.8×	30 0.4×	53 0.7×	14	262
Hershy Kisilevsky Canada	9	216 1.0×	120 0.9×	126 1.0×	44 0.6×	35 0.5×	28	271
Georges Gras France	11	397 1.8×	194 1.4×	159 1.3×	89 1.2×	78 1.1×	55	449

Countries citing papers authored by Frank Gerth

Since Specialization

Citations

This map shows the geographic impact of Frank Gerth'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 Frank Gerth with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Frank Gerth more than expected).

Fields of papers citing papers by Frank Gerth

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Frank Gerth. 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 Frank Gerth. The network helps show where Frank Gerth may publish in the future.

Co-authorship network of co-authors of Frank Gerth

This figure shows the co-authorship network connecting the top 25 collaborators of Frank Gerth. A scholar is included among the top collaborators of Frank Gerth 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 Frank Gerth. Frank Gerth is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Gerth, Frank. (2005). On 3-Class groups of certain pure cubic fields. Bulletin of the Australian Mathematical Society. 72(3). 471–476. 8 indexed citations

Gerth, Frank. (2003). Quadratic fields with infinite Hilbert 2-class field towers. Acta Arithmetica. 106(2). 151–158. 6 indexed citations

Gerth, Frank. (2001). Comparison of 4-class ranks of certain quadratic fields. Proceedings of the American Mathematical Society. 129(9). 2547–2552. 3 indexed citations

Gerth, Frank. (1998). On 2-class field towers for quadratic number fields with 2-class group of type (2,2). Glasgow Mathematical Journal. 40(1). 63–69.

Gerth, Frank, et al.. (1995). Densities for 4-Class Ranks of Totally Complex Quadratic Extensions of Real Quadratic Fields. Journal of Number Theory. 54(2). 274–286.

Gerth, Frank. (1989). On p ‐Class Groups of Cyclic Extensions of Prime Degree p of Quadratic Fields. Mathematika. 36(1). 89–102. 3 indexed citations

Gerth, Frank. (1987). Densities for 3-class ranks in certain cubic extensions.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1987(381). 161–180. 3 indexed citations

Gerth, Frank. (1986). Densities for certain $l$-ranks in cyclic fields of degree $l^n$. Compositio Mathematica. 60(3). 295–322. 4 indexed citations

Gerth, Frank. (1986). Limit probabilities for coranks of matrices over GF(q). Linear and Multilinear Algebra. 19(1). 79–93. 7 indexed citations

10.

Gerth, Frank & S. W. Graham. (1984). Application of a character sum estimate to a 2-class number density. Journal of Number Theory. 19(2). 239–247. 6 indexed citations

11.

Gerth, Frank. (1983). Asymptotic Results for Class Number Divisibility in Cyclotomic Fields. Canadian Mathematical Bulletin. 26(4). 464–472. 2 indexed citations

12.

Gerth, Frank. (1983). Asymptotic behavior of number fields with prescribed ℓ-class numbers. Journal of Number Theory. 17(2). 191–203. 2 indexed citations

13.

Gerth, Frank, et al.. (1981). The iwasawa invariant μ in the composite of two Zl-extensions. Journal of Number Theory. 13(2). 262–267. 4 indexed citations

14.

Gerth, Frank. (1980). The ideal class groups of two cyclotomic fields. Proceedings of the American Mathematical Society. 78(3). 321–322. 8 indexed citations

15.

Gerth, Frank. (1979). Upper bounds for an Iwasawa invariant. Compositio Mathematica. 39(1). 3–10. 3 indexed citations

16.

Gerth, Frank. (1978). The Hasse norm principle in cyclotomic number fields.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1978(303-304). 249–252. 7 indexed citations

17.

Gerth, Frank. (1977). The Hasse Norm Principle in Metacyclic Extensions of Number Fields. Journal of the London Mathematical Society. s2-16(2). 203–208. 3 indexed citations

18.

Gerth, Frank. (1976). On 3-class groups of cyclic cubic extensions of certain number fields. Journal of Number Theory. 8(1). 84–98. 12 indexed citations

19.

Gerth, Frank. (1975). On 3-class groups of pure cubic fields.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1975(278-279). 52–62. 17 indexed citations

20.

Gerth, Frank. (1975). Number Fields with Prescribed l-Class Groups. Proceedings of the American Mathematical Society. 49(2). 284–284. 1 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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