A three dimensional set of limit points related to the abc Conjecture
| Autor: | Simpson, Reginald M. |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Druh dokumentu: | Text |
| Popis: | We study the limit points Q' of a three-dimensional set Q which encodes the reciprocal quality of abc triples as the components of a vector of the form (log Rad a, log Rad b, log Rad c) / log c. We establish that if the abc Conjecture holds, Q' is contained in a heptahedron. Unconditionally, we establish the existence of a subset of Q' with non-zero measure. We determine the implications of previous research on related problems involving limit points of abc triples in one-dimensional sets on Q' and discuss possible avenues for future study. Science, Faculty of Mathematics, Department of Graduate |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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