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Proof, Disproof and Advances Concerning Certain Conjectures on Real Quadratic Fields
- Source :
- Canadian Journal of Mathematics. 47:1023-1036
- Publication Year :
- 1995
- Publisher :
- Canadian Mathematical Society, 1995.
-
Abstract
- The purpose of this paper is to address conjectures raised in [2]. We show that one of the conjectures is false and we advance the proof of another by proving it for an infinite set of cases. Furthermore, we give hard evidence as to why the conjecture is true and show what remains to be done to complete the proof. Finally, we prove a conjecture given by S. Louboutin, for Mathematical Reviews, in his discussion of the aforementioned paper.
- Subjects :
- Discrete mathematics
Quadratic equation
General Mathematics
Mathematics
Subjects
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 47
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi...........0726efd4f44beb08561cad7fe90e1978