Mean Values over Lattices in Number Fields and Effective Diophantine Approximation
- Resource Type
- Working Paper
- Authors
- Hughes, Nathan
- Source
- Subject
- Mathematics - Number Theory
Mathematics - Dynamical Systems
11J68, 37A44, 11H60
- Language
We answer a question raised by Alam and Ghosh concerning an error term for a spiralling result in Diophantine approximation by rationals in a number field. The proof relies on a generalisation of Rogers' Mean Value Theorem to algebraic number fields and an effective ergodic theorem due to Gaposhkin.
Comment: 18 pages