Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Counting Diophantine Approximations of Small Height


Affiliations
1 University of Colorado, Boulder, United States
     

   Subscribe/Renew Journal


We will estimate the number of good approximations by algebraic numbers, in particular by algebraic numbers of small Height. As a consequence, we will be able to give new bounds for the number of “exceptional” approximations in Roth’s Theorem.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 180

PDF Views: 0




  • Counting Diophantine Approximations of Small Height

Abstract Views: 180  |  PDF Views: 0

Authors

Wolfgang M. Schmidt
University of Colorado, Boulder, United States

Abstract


We will estimate the number of good approximations by algebraic numbers, in particular by algebraic numbers of small Height. As a consequence, we will be able to give new bounds for the number of “exceptional” approximations in Roth’s Theorem.