| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772626 | Journal of Number Theory | 2017 | 6 Pages |
Abstract
A Pierce series is an alternating sum of the reciprocals of an increasing sequence of positive integers, each one divisible by the previous one. In this short note we study some Pierce series that arise from certain continued fractions. Moreover, we show that the sums of these Pierce series are transcendental numbers.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Juan Luis Varona,