Published March 1998
| Published
Journal Article
Open
Rationals to and Only to Rationals: 10555
- Creators
- Lagarias, Jeffrey C.
-
Rains, Eric M.
Chicago
An error occurred while generating the citation.
Abstract
(a) Suppose f(t) ∈ R[t] is a polynomial that maps rationals to rationals and irrationals to irrationals. Show that f(t) = at + b with a and b rational. (b) Does the same conclusion hold under the weaker assumption that f:R → R is an algebraic function (i.e., if there is a polynomial P(x,y) ∈ R[x,y] such that P(t,f(t)) is identically zero)?
Additional Information
© 1998 Mathematical Association of America.Attached Files
Published - 2589100.pdf
Files
2589100.pdf
Files
(435.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:eb467391904f80ffbafad68ba5272495
|
435.5 kB | Preview Download |
Additional details
- Eprint ID
- 83341
- Resolver ID
- CaltechAUTHORS:20171120-110513579
- Created
-
2017-11-20Created from EPrint's datestamp field
- Updated
-
2019-10-03Created from EPrint's last_modified field