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math.NT2023
Mean Values over Lattices in Number Fields and Effective Diophantine Approximation
Nathan Hughes
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 ge…
math.NT2022
Effective Counting and Spiralling of Lattice Approximates
Nathan Hughes
Given , we show that the number of approximates of satisfying $|q\mathbf{x}-\mathbf{p}|\leq cq^{-\frac{…