Projects funded by the NCN
Diophantine equations with separated variables: equal values of quadrinomials and products of quadratic function values.
2014/13/N/ST1/02471
Keywords:
Diophantine equations decomposition of polynomials Bilu–Tichy theorem
Descriptors:
- ST1_3: Number theory
- ST1_2: Algebra
- ST1_14: Discrete mathematics and combinatorics
Panel:
ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution :
Uniwersytet Jagielloński, Wydział Matematyki i Informatyki
woj. małopolskie
Principal investigator (from the host institution):
Number of co-investigators in the project: 2
Call: PRELUDIUM 7 - announced on 2014-03-17
Amount awarded: 68 640 PLN
Project start date (Y-m-d): 2015-03-03
Project end date (Y-m-d): 2017-03-02
Project duration:: 24 months (the same as in the proposal)
Project status: Project settled
Information in the final report
- Publication in academic press/journals (2)
- On decompositions of quadrinomials and related Diophantine equationsAuthors:Maciej GawronAcademic press:Acta Arithmetica (rok: 2017, tom: 179, strony: 45306), Wydawca: IMPANStatus:PublishedDOI:10.4064/aa8411-9-2016 - link to the publication
- On primitive integer solutions of the Diophantine equation $t^2=G(x, y, z)$ and related resultsAuthors:Maciej Gawron, Maciej UlasAcademic press:JOURNAL OF NUMBER THEORY (rok: 2016, tom: 159, strony: 101-122), Wydawca: ElsevierStatus:PublishedDOI:10.1016/j.jnt.2015.07.012 - link to the publication