The distribution of Galois orbits of low height [electronic resource]
| Title: | The distribution of Galois orbits of low height [electronic resource] |
| Author: | Petsche, Clayton Jay. |
| Abstract: | We establish quantitative estimates on the complex distribution of Gal ( Q /Q ) orbits of low height . In particular , we consider a family of heights hs : Q &rarr ; [0 , +infinity ) , including the usual logarithmic absolute Weil height h0 , in which the Ls -norm is used at the archimedean places . We then give a variety of Koksma -type inequalities , realizing the heights hs as a family of discrepancies on Galois orbits in Q . As an application , we give quantitative versions of Langevin's lower bound on hs . |
| URI: |
http : / /hdl .handle .net /2152 /771
http : / /hdl .handle .net /2152 /771 |
| Date: | 2006-01-27 |
Citation
(2003).
The distribution of Galois orbits of low height [electronic resource].
Doctoral dissertation,
The University of Texas at Austin. Available electronically from
http : / /hdl .handle .net /2152 /771
.
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