Recent papers
Recent papers on the abc conjecture, surfaced by the prominence of their authors in this directory.
Showing 15 papers, ranked by the Top 100 standing of their authors then by recency. Authors who appear in the Top 100 are shown in bold.
Most cited (all time)
The ten most-cited Mathematics works on the abc conjecture, by citation count in OpenAlex. Results are filtered to the Mathematics field (OpenAlex field 26) and ranked by total citations.
The Top 100 ranking is designed to capture prominent, currently active researchers. If an author in this table is not linked to a profile, it is usually because they are deceased or less active than the researchers in the ranking, not because they are less significant to the field.
| # | Title | Authors | Year | Citations |
|---|---|---|---|---|
| 1 | Wieferich's criterion and the abc-conjecture DOI | Joseph H. Silverman | 1988 | 183 |
| 2 | The canonical height and integral points on elliptic curves DOI | Marc Hindry; Joseph H. Silverman | 1988 | 161 |
| 3 | On the practical solution of the Thue equation DOI | Nikos Tzanakis; Benjamin M. M. de Weger | 1989 | 148 |
| 4 | On equations inS-units and the Thue-Mahler equation DOI | Jan‐Hendrik Evertse | 1984 | 140 |
| 5 | Torsion Points on Curves and -Adic Abelian Integrals DOI | Robert F. Coleman | 1985 | 130 |
| 6 | A search for Wieferich and Wilson primes DOI | Richard E. Crandall; Karl Dilcher; Carl B. Pomerance | 1997 | 123 |
| 7 | Computing integral points on elliptic curves DOI | Josef Gebel; A. Pethö; Horst G. Zimmer | 1994 | 108 |
| 8 | Solving Thue Equations of High Degree DOI | Yuri Bilu; Guillaume Hanrot | 1996 | 106 |
| 9 | Integral points on curves DOI | Serge Lang | 1960 | 106 |
| 10 | On the Number of Solutions of Polynomial Congruences and Thue Equations DOI | Cameron L. Stewart | 1991 | 91 |