Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593612 | Journal of Number Theory | 2015 | 22 Pages |
Abstract
We have described a new kind of continued fraction which is referred to as an F1,2F1,2-continued fraction. The F1,2F1,2-continued fraction arises from a subgraph (denoted as F1,2F1,2) of the Farey graph. We have given a geometric interpretation of the partial quotients and formulated an algorithm to find F1,2F1,2-continued fraction expansion of a number. We have also studied the analogues of certain properties of regular continued fractions in the context of F1,2F1,2-continued fractions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
R. Sarma, S. Kushwaha, R. Krishnan,